{"title":"Atlas compact-handle optical study","units":"mm","summary":"Current compact upper and lower designs: two cameras, two combined light modules and R24 6 × 6 mm spherical caps on each tray, placed as mirror-image pairs searched against 7 upper and 6 lower arches at once; the figures shown are for the reference arch. The coverage shown is one seated pose of a multi-shot prescription. Coverage is conditional geometric access, not measured reconstruction.","configurations":[{"id":"upper-compact-cohort-2lights-30mirrors","studyGroup":"compact","jaw":"upper","label":"Compact original handle · 2 modules · 30 mirrors · R24 6 × 6 mm caps · placed for 7 arches","modules":2,"variant":"r24-multishot","variantLabel":"R24 6 × 6 mm spherical caps, searched for image sampling rather than reach. THIS VIEW IS ONE SEATED POSE: the prescription is captured over several rigid re-seatings of the tray and stitched. Median camera sampling 0.073 mm per pixel, against 2.1–2.4 mm per pixel for the superseded 40-mirror 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95%; sampling uncertainty only"},"regions":[{"label":"Tray-facing surfaces","primary":true,"area":1470.1410398552896,"coverage":43.658698539176626,"note":"Normal z < -0.55; occlusal-facing proxy, includes some gums."},{"label":"Inner-facing sides","primary":true,"area":294.46257493564383,"coverage":27.39059967585089,"note":"Side normals (abs z <=0.55) point toward arch interior; geometric proxy."},{"label":"Outer-facing sides","primary":true,"area":1151.880712931164,"coverage":72.03874944958169,"note":"Other side normals (abs z <=0.55); includes gingiva and scan boundary regions."},{"label":"Superior-facing remainder","primary":false,"area":5.351465953703823,"coverage":0,"note":"Normal z >0.55, excluding separately identified palatal proxy; excluded from bottom-and-side primary coverage."},{"label":"Palatal region proxy","primary":false,"area":1039.3059026944898,"coverage":43.86973180076628,"note":"Upper central elevated arch interior; reported separately, not clinically segmented palate."},{"label":"Recessed / gap proxy (overlaps other regions)","area":null,"coverage":28.057553956834532}],"sampling":{"method":"Local finite-difference image-coordinate Jacobian; worst tangent singular direction among jointly usable camera routes. Chief-ray geometric sampling only, excluding blur, finite pupil and noise.","validPrimarySamples":3118,"medianMmPerPixel":0.07265801290515392,"p90MmPerPixel":0.2594275429686697,"p10MmPerPixel":0.024612273497184218},"fit":{"handleMode":"Original exterior; hollowed with optical openings","originalHandle":"Both cameras, both combined heads, shared driver and opaque wiring reserves fit within the original exterior.","contained":true,"summary":"Original handle exterior retained. Two camera assemblies and two combined light heads are inside it; cavities, optical ports, wiring reserves and passive mirror supports are included in the physical ray trace. Assembly strength, sealing and thermal performance remain unverified."},"downloads":[{"label":"Optical layout & checks","url":"downloads/upper-compact-cohort-2lights-30mirrors-layout.json"},{"label":"Tray STL","url":"cad.html?id=upper-compact-cohort-2lights-30mirrors&part=tray"},{"label":"Hollow handle STL","url":"cad.html?id=upper-compact-cohort-2lights-30mirrors&part=handle"}],"rays":[[[-3.9517828673347912,-45.08800040352927,4.5],[11.448236270865037,22.838221905149286,-5.269268569081753],[7.054264799630709,29.68977370080794,15.40622355361386]],[[-4.5,-56.95,2],[5.966896625922793,-4.547281596448996,-4.545280833524209],[7.054264799630709,29.68977370080794,15.40622355361386]],[[-3.9517828673347912,-45.08800040352927,4.5],[-34.83203163856104,50.72508993354007,0.3208346528347876],[-25.216378573887233,32.804754535898006,0.7975155537029962]],[[-4.5,-56.95,2],[-25.216378573887233,32.804754535898006,0.7975155537029962]],[[3.9517828673347912,-45.08800040352927,4.5],[-41.35140365462815,44.33298746025933,6.581886921986762],[-30.824881800944087,33.77781712730603,9.870882421299356]],[[4.5,-56.95,2],[-36.31074585350611,50.49208603828454,3.5200103848294884],[-30.824881800944087,33.77781712730603,9.870882421299356]],[[-3.9517828673347912,-45.08800040352927,4.5],[-36.351510800071715,50.45525745107115,3.392229675250393],[-30.62835120810797,34.82088897885915,8.75332383242839]],[[4.5,-56.95,2],[-41.23265076587067,44.36077524108265,6.048908778873351],[-30.62835120810797,34.82088897885915,8.75332383242839]],[[-3.9517828673347912,-45.08800040352927,4.5],[-21.670673155259223,46.86420968813199,-0.7740126320068135],[-21.769681565010586,46.73365962589852,3.8527882301389376]],[[-4.5,-56.95,2],[-23.94706576884548,50.35086788273569,-0.5534663683758954],[-21.769681565010586,46.73365962589852,3.8527882301389376]],[[-3.9517828673347912,-45.08800040352927,4.5],[20.61741766855499,-10.242719541092645,2.8943303967200382],[20.8619233965133,12.435877212404556,7.633214336241133]],[[-4.5,-56.95,2],[22.378471149804312,-2.969717974649372,-1.1996174414686633],[20.8619233965133,12.435877212404556,7.633214336241133]],[[-3.9517828673347912,-45.08800040352927,4.5],[-12.522769526804053,2.194164388823444,8.176764129776636]],[[4.5,-56.95,2],[-9.515827678073778,-8.653356538106188,-4.965715387411274],[-12.522769526804053,2.194164388823444,8.176764129776636]],[[-3.9517828673347912,-45.08800040352927,4.5],[-18.794627792369976,11.080010092906022,5.042604466465155]],[[4.5,-56.95,2],[-21.295187168604762,-2.8540254906088984,-2.3105742649725927],[-18.794627792369976,11.080010092906022,5.042604466465155]],[[-3.9517828673347912,-45.08800040352927,4.5],[14.531748943152671,21.3919414169149,-5.255767978587676],[14.593390830673263,23.204348930299602,4.6510091494499]],[[4.5,-56.95,2],[-23.588877251557275,-2.7940838876447227,2.1344177299653277],[14.593390830673263,23.204348930299602,4.6510091494499]],[[-3.9517828673347912,-45.08800040352927,4.5],[-19.498433029888083,44.808165032545325,-3.5692929457336753],[-18.163911217164564,42.353582353616375,3.476482546290912]],[[-4.5,-56.95,2],[23.13237058988284,-0.6107965842100871,1.8271234115854749],[-18.163911217164564,42.353582353616375,3.476482546290912]],[[3.9517828673347912,-45.08800040352927,4.5],[8.475781207515189,-3.990646797335228,-3.9298602002916403],[8.52816869841364,23.04487563858897,11.198582052104245]],[[-4.5,-56.95,2],[16.736416038115728,52.21957835433757,-0.643818433226923],[8.52816869841364,23.04487563858897,11.198582052104245]],[[3.9517828673347912,-45.08800040352927,4.5],[32.4986742652315,51.9148638509954,1.1077439021728832],[22.4287983383413,40.834055686270055,2.5194075255741684]],[[-4.5,-56.95,2],[38.1821639055027,46.92079422027724,3.3770496328275064],[22.4287983383413,40.834055686270055,2.5194075255741684]],[[-3.9517828673347912,-45.08800040352927,4.5],[-28.125288167413558,27.183574607264458,8.230928756587765]],[[4.5,-56.95,2],[-36.115560082579236,50.38180434418176,2.330254873710583],[-28.125288167413558,27.183574607264458,8.230928756587765]],[[-3.9517828673347912,-45.08800040352927,4.5],[-33.348324294205305,51.536181605187984,1.926029440281401],[-27.552657716161985,43.953546367831684,3.570645010546464]],[[-4.5,-56.95,2],[-27.793335689069295,49.127102448760205,-1.2347117534559822],[-27.552657716161985,43.953546367831684,3.570645010546464]],[[-3.9517828673347912,-45.08800040352927,4.5],[-12.83894639910892,25.52383317785532,-3.4018310009697497],[-9.992503394867708,37.77811566515528,12.964888118250437]],[[-4.5,-56.95,2],[-16.570099674505368,52.896451209851264,1.7746732545755837],[-9.992503394867708,37.77811566515528,12.964888118250437]],[[-3.9517828673347912,-45.08800040352927,4.5],[-23.554113050619275,28.80915344098029,0.40980028026287313]],[[4.5,-56.95,2],[-19.545493213712493,-9.683677757918128,-0.8149059662573688],[-23.554113050619275,28.80915344098029,0.40980028026287313]],[[-3.9517828673347912,-45.08800040352927,4.5],[23.255453895527367,-1.2589668841710122,2.1912064819276793],[-17.101093768536686,29.360817157907146,2.7709350043335883]],[[4.5,-56.95,2],[-16.161646959157533,25.155149349550115,-2.867602381926435],[-17.101093768536686,29.360817157907146,2.7709350043335883]],[[3.9517828673347912,-45.08800040352927,4.5],[12.798134705071268,21.75339163331289,-5.488708264258058],[8.604443755161887,26.266002479090865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visedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true}],"originalEnvelopePassed":true,"revisedEnvelopePassed":true,"enlargementUsed":false,"enlargementVolume_mm3":0.0,"handle":{"stlPath":"handle-material.stl","meshFile":"handle-material.json","displayFile":"handle-material-display.json","bounds":[[-15.096992492675781,-147.8727569580078,-5.657289028167725],[15.096992492675781,-39.799224853515625,9.63840103149414]],"watertight":true,"volume_mm3":25277.783398123687,"components":1,"triangles":377444,"surfaceComponents":1,"materialComponents":1,"interiorCavityShells":0,"signedShellVolumes_mm3":[25277.783398123687]},"tray":{"stlPath":"tray-material.stl","meshFile":"tray-material.json","displayFile":"tray-material-display.json","bounds":[[-43.011322021484375,-36.98043441772461,-6.284387588500977],[43.011322021484375,57.71974182128906,10.412186622619629]],"watertight":true,"volume_mm3":20732.104007691054,"components":1,"triangles":385572,"surfaceComponents":1,"materialComponents":1,"interiorCavityShells":0,"signedShellVolumes_mm3":[20732.104007691054]},"envelope":{"stlPath":"handle-envelope.stl","meshFile":"handle-envelope.json","displayFile":"handle-envelope-display.json","bounds":[[-15.096992492675781,-147.8727569580078,-5.657289028167725],[15.096992492675781,-39.78739929199219,9.63840103149414]],"watertight":true,"volume_mm3":32382.672409311403,"components":1,"triangles":377638,"surfaceComponents":1,"materialComponents":1,"interiorCavityShells":0,"signedShellVolumes_mm3":[32382.672409311403]},"exportRepair":{"handle":{"binarySTLRoundTripWatertight":true,"binarySTLRoundTripWindingConsistent":true,"maxFloat32VertexDisplacement_mm":0.0,"facesBefore":377482,"facesAfter":377444,"topologyCleanupApplied":false,"removedDetachedPositiveVolumes_mm3":[0.02389803471659183],"removedDetachedVolume_mm3":0.02389803471659183,"method":"Quantize to binary STL float32, weld, remove duplicate and strictly degenerate faces; discard only small disconnected positive-volume cutting chips; preserve internal cavity shells; reload and verify."},"tray":{"binarySTLRoundTripWatertight":true,"binarySTLRoundTripWindingConsistent":true,"maxFloat32VertexDisplacement_mm":0.0,"facesBefore":385572,"facesAfter":385572,"topologyCleanupApplied":false,"removedDetachedPositiveVolumes_mm3":[],"removedDetachedVolume_mm3":0,"method":"Quantize to binary STL float32, weld, remove duplicate and strictly degenerate faces; discard only small disconnected positive-volume cutting chips; preserve internal cavity shells; reload and verify.","manifoldSliverSimplification":{"requestedTolerance_mm":1e-06,"effectiveTolerance_mm":6.880729415570386e-06,"originalTriangles":394722,"simplifiedTriangles":385572,"method":"Manifold bounded surface simplification, then actual float32 STL round-trip verification."}},"envelope":{"binarySTLRoundTripWatertight":true,"binarySTLRoundTripWindingConsistent":true,"maxFloat32VertexDisplacement_mm":0.0,"facesBefore":377638,"facesAfter":377638,"topologyCleanupApplied":false,"removedDetachedPositiveVolumes_mm3":[],"removedDetachedVolume_mm3":0,"method":"Quantize to binary STL float32, weld, remove duplicate and strictly degenerate faces; discard only small disconnected positive-volume cutting chips; preserve internal cavity shells; reload and verify."}},"caveats":["Full oriented-body Boolean outside volumes use 0.01 mm3 tolerance. Validate remaining wall thickness before fabrication.","Finite corridors are physical material removals; all remaining triangles must remain ray blockers."],"finiteApertureCorridors":{"count":30,"method":"Actual convex hull cuts between finite source aperture and sampled curved mirror aperture; all remaining material stays opaque.","sourceRadius_mm":[0.0]},"meshFile":"housing-mesh.json","displayFile":"housing-display.json","seconds":46.15,"mirrorPocketPolicy":"Actual frozen finite mirror curvature plus2.2mm backing and finite clearance; no unmodeled transparent material.","requiresOpticalVerification":true},"originalHandleTest":{"passed":true,"method":"Complete rotated body plus cavity and wall box against original closed handle; validated Boolean and boundary intersections.","checks":[{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01},{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01},{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01},{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01},{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01}]},"motion":null,"cad":{"handle":{"start":0,"count":377444},"tray":{"start":377444,"count":385572}},"evaluation":{"physicalHousingIncluded":true,"heldout":true,"sampleCount":8000,"primarySampleCount":5900,"source":{"layoutSHA256":"3195a5a83d4db8f09da8a9007027454400dea2b4b8d74084fa7aa26f825ac37b","housingSHA256":"9c62c3ebb55251fe8b83d975f7d50a9dc69e6b3c5907857e4273ef22192ac7f4","anatomySHA256":"7ca1fb8a7ac739eab5edd86bdcbfec71bf450a9bd75bae212f819cfbf65a71af","samplesSHA256":"d1544cb205babd2fa81019d81e9e915c56d5092a1359081e60ac2216ac41299a","physicsSHA256":"774f214214cb1faa417c6dd4d2ba2fec60e19ccf37ca408daf79f870aabddd67"}},"opticalAssumptions":["Exactly two cameras, two combined light heads, one shared driver strip and opaque wiring segments per layout. The tray contains mirrors and passive supports only.","Camera assembly reserves are 5 × 5 × 8 mm. Light-head reserves are 8 × 8 × 12 mm. The shared driver strip reserve is 12 × 40 × 4 mm. These are proposed assemblies, not qualified purchased systems.","Each camera uses a 4208 × 3120 ideal rectilinear surrogate with a 70° horizontal and 54.87° vertical field (fx 3004.8 px). Actual intrinsics and lens distortion have not been calibrated.","The structured source uses a point pupil and continuous rectangular cone of 109° horizontally and 95° vertically, based on the Himax TL25-W 940 nm fixed-dot projector. Virtual source coordinates encode the cone; they are not a physical pixel array.","Both source and camera routes are direct or use one finite reflection. The acute camera–source ray angle must be at least 10°. Full scan triangles, remaining housing, component and wire boxes, other mirrors and their backing surfaces obstruct routes.","White, 450 nm visible-blue fluorescence for caries and plaque/biofilm, and 850 nm class NIR flood are retained as separate module requirements. No UV channel is proposed. Their individual pupils, signals and diagnostic performance are not inferred from structured-source coverage.","MULTI-SHOT PRESCRIPTION. Every single-pose figure is ONE seated pose. The tray is captured over several rigid re-seatings and stitched; the stitched figures are in the coverage viewer and on the Specifications page, and cohort-study/README.md gives them for every arch of the search cohort. They are simulation under assumed priors, not measurement."],"handleDimensions":{"extents_mm":[30.193984985351562,108.08535766601562,15.295690059661865],"bounds_mm":[[-15.096992492675781,-147.8727569580078,-5.657289028167725],[15.096992492675781,-39.78739929199219,9.63840103149414]],"enlargementVolume_mm3":0.0},"wallSampling":{"method":"12000 deterministic area-uniform samples on the complete external envelope. Begin0.002mm inward along each outward triangle normal; retain only points inside actual post-port material, then take the exact first inward material-boundary hit within300mm. Thickness is a normal-ray measurement, not a minimum-distance wall thickness or global lower bound.","seed":2026092007,"outer_samples":12000,"outer_area_mm2":7769.436341308245,"initial_inward_offset_mm":0.002,"remaining_material_samples":11748,"open_or_removed_at_start_samples":252,"no_exit_within_300mm":0,"minimum_sampled_normal_thickness_mm":0.3435719464777343,"p01_sampled_normal_thickness_mm":1.6344085002705648,"median_sampled_normal_thickness_mm":4.964223074062007,"samples_below_1mm":5,"samples_below_1_5mm":76,"declared_optical_port_exit_samples":1475,"minimum_sampled_normal_thickness_excluding_declared_port_exits_mm":0.5675340357732647,"port_exit_classification":"Exit point within0.002mm of any declared handle/both optical cylinder40facets or exact convex-hull cutter surface. This separates intentional openings from ordinary cavity/bulk exits; it is not a structural certification.","lowest_samples":[{"sample":11457,"outer_point_mm":[-6.436904754646902,-39.83960738180389,6.029976937703365],"inward_direction":[0.0040705182403549785,-0.9989037402661529,-0.046634199505780696],"normal_thickness_mm":0.3435719464777343,"outer_face":135852,"exit_material_face":376769,"exit_on_declared_optical_port_surface":true},{"sample":5484,"outer_point_mm":[-2.257424267116545,-39.959768938102,-3.2067443631261394],"inward_direction":[0.003224936773801964,-0.9850341862803969,0.1723289054155489],"normal_thickness_mm":0.4694465327847751,"outer_face":33654,"exit_material_face":376445,"exit_on_declared_optical_port_surface":true},{"sample":6907,"outer_point_mm":[-12.076839961513208,-147.86629509579063,2.123677228914962],"inward_direction":[0.026617610518958574,0.9996229005334167,0.006749780694200146],"normal_thickness_mm":0.5675340357732647,"outer_face":178494,"exit_material_face":40545,"exit_on_declared_optical_port_surface":false},{"sample":4874,"outer_point_mm":[-11.9439024423735,-147.86559138556623,1.6440277053870966],"inward_direction":[0.00198610024194826,0.9999893019551575,0.0041774850168453045],"normal_thickness_mm":0.7595466467887115,"outer_face":55817,"exit_material_face":7366,"exit_on_declared_optical_port_surface":false},{"sample":1308,"outer_point_mm":[-12.044726323513576,-147.8699643060033,3.309553702003582],"inward_direction":[-9.692211583306984e-05,0.9999982227623457,0.0018828378191366958],"normal_thickness_mm":0.9327910494214864,"outer_face":179998,"exit_material_face":41110,"exit_on_declared_optical_port_surface":false},{"sample":6194,"outer_point_mm":[1.743846788336803,-40.585140897897375,-4.106157465527101],"inward_direction":[-0.013361096428959803,-0.34917271646378645,0.9369631237031242],"normal_thickness_mm":1.0420567943874104,"outer_face":86377,"exit_material_face":376885,"exit_on_declared_optical_port_surface":true},{"sample":6510,"outer_point_mm":[-12.194314021490488,-147.71593012619155,3.105267035972113],"inward_direction":[0.989912951379678,-0.14115206065774236,-0.01218377867691558],"normal_thickness_mm":1.0874432986710194,"outer_face":178372,"exit_material_face":43494,"exit_on_declared_optical_port_surface":false},{"sample":333,"outer_point_mm":[-10.772153348050487,-40.2303899915819,-1.506294445657586],"inward_direction":[0.6682509434892715,-0.49290744520264146,0.5572099487531638],"normal_thickness_mm":1.093932701920098,"outer_face":32515,"exit_material_face":376331,"exit_on_declared_optical_port_surface":true},{"sample":11580,"outer_point_mm":[-1.4083484029863276,-40.859499130353036,-4.195654127258713],"inward_direction":[0.008948407382121581,-0.24488161282468332,0.9695116924027816],"normal_thickness_mm":1.1311693144157147,"outer_face":199124,"exit_material_face":376472,"exit_on_declared_optical_port_surface":true},{"sample":2750,"outer_point_mm":[10.983424805317581,-41.1261894448992,-1.6235854448084832],"inward_direction":[-0.762934094435286,-0.17883967544303236,0.6212470829192204],"normal_thickness_mm":1.1924627400398882,"outer_face":87527,"exit_material_face":377046,"exit_on_declared_optical_port_surface":true},{"sample":7611,"outer_point_mm":[-3.571872863962058,-39.90051683191742,-2.7367215027900986],"inward_direction":[0.0033668608175273715,-0.9947739236833286,0.10204658253910526],"normal_thickness_mm":1.203464961189311,"outer_face":198308,"exit_material_face":376458,"exit_on_declared_optical_port_surface":true},{"sample":5603,"outer_point_mm":[2.345765519345175,-141.55792236328122,-0.05337932653382227],"inward_direction":[-0.0,1.0,-0.0],"normal_thickness_mm":1.2079162597655873,"outer_face":377529,"exit_material_face":34988,"exit_on_declared_optical_port_surface":false},{"sample":9524,"outer_point_mm":[-0.8863476356873674,-141.55792236328125,1.8248372110212663],"inward_direction":[-0.0,1.0,-0.0],"normal_thickness_mm":1.2079162597656152,"outer_face":377530,"exit_material_face":34988,"exit_on_declared_optical_port_surface":false},{"sample":5072,"outer_point_mm":[-1.8861327536760482,-141.55792236328125,0.9997511729130886],"inward_direction":[-0.0,1.0,-0.0],"normal_thickness_mm":1.2079162597656152,"outer_face":377530,"exit_material_face":34988,"exit_on_declared_optical_port_surface":false},{"sample":8242,"outer_point_mm":[-2.4579275094285813,-141.55792236328125,0.855123124753975],"inward_direction":[-0.0,1.0,-0.0],"normal_thickness_mm":1.2079162597656152,"outer_face":377530,"exit_material_face":34988,"exit_on_declared_optical_port_surface":false},{"sample":6547,"outer_point_mm":[0.5462537759416481,-141.55792236328125,2.2178702538030524],"inward_direction":[-0.0,1.0,-0.0],"normal_thickness_mm":1.2079162597656152,"outer_face":377530,"exit_material_face":228868,"exit_on_declared_optical_port_surface":false},{"sample":664,"outer_point_mm":[0.18965727679776864,-141.55792236328125,-0.0052730047539659985],"inward_direction":[-0.0,1.0,-0.0],"normal_thickness_mm":1.2079162597656152,"outer_face":377529,"exit_material_face":34988,"exit_on_declared_optical_port_surface":false},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ports have no enclosing wall across their aperture; samples with no material0.002mm inward are reported, not treated as a positive wall.","The sampled minimum can disprove a proposed lower thickness bound but cannot establish a global minimum. Features thinner than the starting offset can be skipped.","No strength, sealing, retention or manufacturability conclusion follows from this sample."]},"passiveSeatReinforcements":[],"multiShot":{"railProvenancePenaltyPoints":null,"shots":12,"poses":["nominal","pitch_x+30","pitch-20_yaw+20","yaw_z-25","roll_y+20","pitch-12_roll-12","pitch-20_roll+20","pitch+12_yaw+12","roll_y-25","pitch+20_yaw-20","pitch-20_yaw-20","pitch+12_roll+12"],"requiredSamples":7988,"geometricPercent":99.5,"resolvedPercent":96.14,"resolvedScreenMmPerPixel":0.15,"stillMissingPercent":0.503,"stillMissingByRegion":{"0":16,"2":16,"4":8},"sequence":[{"shots":1,"pose":"nominal","rotationDeg":0.0,"liftMm":0.0,"aloneGeometric":50.77,"aloneResolved":36.41,"unionGeometric":50.77,"unionResolved":36.41},{"shots":2,"pose":"pitch_x+30","rotationDeg":30.0,"liftMm":6.578,"aloneGeometric":65.16,"aloneResolved":54.56,"unionGeometric":84.64,"unionResolved":73.82},{"shots":3,"pose":"pitch-20_yaw+20","rotationDeg":20.0,"liftMm":6.809,"aloneGeometric":53.54,"aloneResolved":31.49,"unionGeometric":92.84,"unionResolved":83.53},{"shots":4,"pose":"yaw_z-25","rotationDeg":-25.0,"liftMm":6.858,"aloneGeometric":72.81,"aloneResolved":48.45,"unionGeometric":95.93,"unionResolved":87.84},{"shots":5,"pose":"roll_y+20","rotationDeg":20.0,"liftMm":5.446,"aloneGeometric":69.49,"aloneResolved":40.93,"unionGeometric":96.5,"unionResolved":89.44},{"shots":6,"pose":"pitch-12_roll-12","rotationDeg":12.0,"liftMm":3.733,"aloneGeometric":68.38,"aloneResolved":40.65,"unionGeometric":98.0,"unionResolved":92.24},{"shots":7,"pose":"pitch-20_roll+20","rotationDeg":20.0,"liftMm":6.573,"aloneGeometric":70.1,"aloneResolved":33.38,"unionGeometric":98.9,"unionResolved":93.48},{"shots":8,"pose":"pitch+12_yaw+12","rotationDeg":12.0,"liftMm":1.795,"aloneGeometric":57.1,"aloneResolved":42.39,"unionGeometric":98.94,"unionResolved":93.96},{"shots":9,"pose":"roll_y-25","rotationDeg":-25.0,"liftMm":7.578,"aloneGeometric":71.56,"aloneResolved":43.99,"unionGeometric":99.15,"unionResolved":94.57},{"shots":10,"pose":"pitch+20_yaw-20","rotationDeg":20.0,"liftMm":7.672,"aloneGeometric":65.99,"aloneResolved":54.33,"unionGeometric":99.23,"unionResolved":95.52},{"shots":11,"pose":"pitch-20_yaw-20","rotationDeg":20.0,"liftMm":5.775,"aloneGeometric":50.45,"aloneResolved":31.79,"unionGeometric":99.5,"unionResolved":96.13},{"shots":12,"pose":"pitch+12_roll+12","rotationDeg":12.0,"liftMm":4.726,"aloneGeometric":68.59,"aloneResolved":48.59,"unionGeometric":99.5,"unionResolved":96.14}],"predictedError":{"median_um":16.1,"measured_area_percent":99.5,"within":{"40":98.9,"50":99.09,"60":99.11,"80":99.24,"100":99.46}},"note":"Merged from full-resolution traces of each pose: a point counts once any pose reaches it. Resolved additionally requires the camera leg at 0.150 mm per pixel or finer. The poses follow the capture order shared by the seven-arch search cohort; pitch+20_yaw+20 does not clear this arch and is skipped.","regions":[{"label":"Tray-facing surfaces","samples":3012,"singlePose":43.658698539176626,"geometric":99.4688,"resolved":98.2736},{"label":"Inner-facing sides","samples":617,"singlePose":27.39059967585089,"geometric":100.0,"resolved":95.4619},{"label":"Outer-facing sides","samples":2271,"singlePose":72.03874944958169,"geometric":99.2955,"resolved":98.679},{"label":"Superior-facing remainder","samples":12,"singlePose":0,"geometric":0.0,"resolved":0.0},{"label":"Palatal region proxy","samples":2088,"singlePose":43.86973180076628,"geometric":99.6169,"resolved":90.5172},{"label":"Recessed / gap proxy (overlaps other regions)","samples":556,"singlePose":28.057553956834532,"geometric":99.4604,"resolved":96.7626}]},"searchCohort":{"arches":7,"note":"Mirror positions searched against this many patients’ arches at once; the figures shown are for the reference arch."}},{"id":"lower-tongue-cohort-2lights-24mirrors","studyGroup":"compact","jaw":"lower","label":"Compact original handle · 2 modules · 24 mirrors · R24 6 × 6 mm caps · placed for 6 arches","modules":2,"variant":"r24-multishot","variantLabel":"R24 6 × 6 mm spherical caps, searched for image sampling rather than reach. THIS VIEW IS ONE SEATED POSE: the prescription is captured over several rigid re-seatings of the tray and stitched. Median camera sampling 0.071 mm per pixel, against 2.1–2.4 mm per pixel for the superseded 40-mirror 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95%; sampling uncertainty only"},"regions":[{"label":"Tray-facing surfaces","primary":true,"area":1018.7284580052245,"coverage":76.48787656135195,"note":"Normal z < -0.55; occlusal-facing proxy, includes some gums."},{"label":"Inner-facing sides","primary":true,"area":478.1073094491037,"coverage":46.682653876898485,"note":"Side normals (abs z <=0.55) point toward arch interior; geometric proxy."},{"label":"Outer-facing sides","primary":true,"area":729.3029092757431,"coverage":52.294030587074495,"note":"Other side normals (abs z <=0.55); includes gingiva and scan boundary regions."},{"label":"Superior-facing remainder","primary":false,"area":0.013174882681188698,"coverage":null,"note":"Normal z >0.55, excluding separately identified palatal proxy; excluded from bottom-and-side primary coverage."},{"label":"Palatal region proxy","primary":false,"area":0,"coverage":null,"note":"Upper central elevated arch interior; reported separately, not clinically segmented palate."},{"label":"Recessed / gap proxy (overlaps other regions)","area":null,"coverage":42.08273894436519}],"sampling":{"method":"Local finite-difference image-coordinate Jacobian; worst tangent singular direction among jointly usable camera routes. Chief-ray geometric sampling only, excluding blur, finite pupil and noise.","validPrimarySamples":3720,"medianMmPerPixel":0.07074709441077302,"p90MmPerPixel":0.2255927888338296,"p10MmPerPixel":0.03782360195805184},"fit":{"handleMode":"Original exterior; hollowed with optical openings","originalHandle":"Both cameras, both combined heads, shared driver and opaque wiring reserves fit within the original exterior.","contained":true,"summary":"Original handle exterior retained. Two camera assemblies and two combined light heads are inside it; cavities, optical ports, wiring reserves and passive mirror supports are included in the physical ray trace. Assembly strength, sealing and thermal performance remain unverified."},"downloads":[{"label":"Optical layout & checks","url":"downloads/lower-tongue-cohort-2lights-24mirrors-layout.json"},{"label":"Tray STL","url":"cad.html?id=lower-tongue-cohort-2lights-24mirrors&part=tray"},{"label":"Hollow handle STL","url":"cad.html?id=lower-tongue-cohort-2lights-24mirrors&part=handle"}],"rays":[[[-3.9517828673347912,-45.08800040352927,4.5],[36.14510999078966,33.25594800932386,10.332685064865071],[23.926354484916697,13.664399422608284,14.094173133047338]],[[-4.5,-56.95,2],[30.65519168512891,36.564598760020004,3.7364118369727066],[23.926354484916697,13.664399422608284,14.094173133047338]],[[3.9517828673347912,-45.08800040352927,4.5],[6.675648221138941,-1.9183831603509929,-3.724673557177034],[3.318436347867023,-5.554935849923075,7.049587369956963]],[[-4.5,-56.95,2],[35.41437085347073,33.6802900707881,8.16811652753129],[3.318436347867023,-5.554935849923075,7.049587369956963]],[[-3.9517828673347912,-45.08800040352927,4.5],[6.413445282795635,-1.7168984631003905,-3.5748407800634876],[4.755705465184904,-5.624304105377217,7.693226509232648]],[[-4.5,-56.95,2],[35.586839628484746,33.57020458448482,8.280077121561725],[4.755705465184904,-5.624304105377217,7.693226509232648]],[[3.9517828673347912,-45.08800040352927,4.5],[6.661031010742757,-1.3715249741444258,-3.1090017475180516],[3.1786752651558867,-4.24883687155178,8.734744009238852]],[[-4.5,-56.95,2],[35.26693165017876,33.75880802678556,8.464153230122895],[3.1786752651558867,-4.24883687155178,8.734744009238852]],[[-3.9517828673347912,-45.08800040352927,4.5],[15.670582845209147,-3.365338372731047,-2.5562102887469917],[16.446361815867352,0.035848988113736456,9.005747714690303]],[[-4.5,-56.95,2],[16.446361815867352,0.035848988113736456,9.005747714690303]],[[-3.9517828673347912,-45.08800040352927,4.5],[23.450130435066544,31.684844476755124,-2.0215382819018703],[24.41377531882951,22.333083775209577,13.215408607810978]],[[-4.5,-56.95,2],[21.91408457289686,16.985642574645563,-1.5387977990147759],[24.41377531882951,22.333083775209577,13.215408607810978]],[[-3.9517828673347912,-45.08800040352927,4.5],[-17.703668895586908,-3.263608559553573,-1.9576310027928387],[-18.7441664708454,1.5969190166944682,10.190813577363384]],[[-4.5,-56.95,2],[-30.937235031298798,36.15179341394266,1.7862795141073076],[-18.7441664708454,1.5969190166944682,10.190813577363384]],[[-3.9517828673347912,-45.08800040352927,4.5],[6.944292426182885,-0.15844294890773436,-1.7979957543605127],[6.131969782178401,-1.3992999622752276,10.763265937003874]],[[-4.5,-56.95,2],[34.480447348425926,34.292702883687525,2.62117254421363],[6.131969782178401,-1.3992999622752276,10.763265937003874]],[[-3.9517828673347912,-45.08800040352927,4.5],[-13.464538531663985,-5.564226711741407,-4.851229203675801],[-9.987135208789995,-4.737595714744133,4.841340526988301]],[[-4.5,-56.95,2],[-10.002552794261103,-2.347536580405092,-3.551283227540506],[-9.987135208789995,-4.737595714744133,4.841340526988301]],[[-3.9517828673347912,-45.08800040352927,4.5],[-14.600885842923454,-3.718584475268489,10.65000267548986]],[[-4.5,-56.95,2],[-16.345440061268985,-6.047689926904891,-4.067750571640383],[-14.600885842923454,-3.718584475268489,10.65000267548986]],[[-3.9517828673347912,-45.08800040352927,4.5],[-29.291578482055158,36.68370527682191,1.2648185998357824],[-10.296219048900904,-1.6315516016900513,7.541863118921685]],[[-4.5,-56.95,2],[-10.142595342946496,-0.9339256641200288,-1.9998424085097293],[-10.296219048900904,-1.6315516016900513,7.541863118921685]],[[-3.9517828673347912,-45.08800040352927,4.5],[36.512195439832794,33.084238613873815,10.816634139351788],[24.44226422338269,11.96601049013673,15.935150114696462]],[[-4.5,-56.95,2],[30.93108021137901,36.538864001125496,4.038092670014357],[24.44226422338269,11.96601049013673,15.935150114696462]],[[-3.9517828673347912,-45.08800040352927,4.5],[22.98655982642541,32.279513248648335,-1.2724888441030298],[23.20000229938159,27.37398071823998,8.566877876779728]],[[-4.5,-56.95,2],[10.888622782757567,-11.186227120369596,-4.094225202429432],[23.20000229938159,27.37398071823998,8.566877876779728]],[[-3.9517828673347912,-45.08800040352927,4.5],[-12.317979480430184,-5.409079146255286,-5.336311232814486],[-5.848329241347186,-4.014695409124391,7.873950361937824]],[[-4.5,-56.95,2],[-7.9010158814190845,-1.752951345583834,-3.2034583191694757],[-5.848329241347186,-4.014695409124391,7.873950361937824]],[[-3.9517828673347912,-45.08800040352927,4.5],[8.89996858313436,-10.679240805299786,-4.267378611789897],[17.990563428557262,21.65564016021479,10.918970140464053]],[[-4.5,-56.95,2],[33.17919620567936,35.35175525542246,4.187727548712183],[17.990563428557262,21.65564016021479,10.918970140464053]],[[3.9517828673347912,-45.08800040352927,4.5],[-15.163117929827042,-21.994940021921916,8.971025898399157],[-13.72122673299259,-2.069929228480168,8.307987792018366]],[[-4.5,-56.95,2],[-15.649186544633661,-5.184310521309712,-3.6817974685031287],[-13.72122673299259,-2.069929228480168,8.307987792018366]],[[-3.9517828673347912,-45.08800040352927,4.5],[-23.15659063337766,32.128133273804195,-1.4388133084733297],[-22.556280216626604,27.60130408684434,7.534322738458231]],[[4.5,-56.95,2],[-10.699250308058886,-10.864572649683344,-4.085049712666981],[-22.556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e,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true},{"kind":"wire","outsideOriginalVolume_mm3":0,"entireBodyInsideOriginal":true,"volumeTolerance_mm3":0.01,"outsideRevisedVolume_mm3":0,"entireBodyInsideRevised":true}],"originalEnvelopePassed":true,"revisedEnvelopePassed":true,"enlargementUsed":false,"enlargementVolume_mm3":0.0,"handle":{"stlPath":"handle-material.stl","meshFile":"handle-material.json","displayFile":"handle-material-display.json","bounds":[[-15.096992492675781,-147.8727569580078,-5.657289028167725],[15.096992492675781,-39.79294204711914,9.63840103149414]],"watertight":true,"volume_mm3":25277.25591113155,"components":1,"triangles":377380,"surfaceComponents":1,"materialComponents":1,"interiorCavityShells":0,"signedShellVolumes_mm3":[25277.25591113155]},"tray":{"stlPath":"tray-material.stl","meshFile":"tray-material.json","displayFile":"tray-material-display.json","bounds":[[-39.95000076293945,-36.98043441772461,-6.284387588500977],[39.95000076293945,41.52116012573242,16.0]],"watertight":true,"volume_mm3":18184.660493996234,"components":1,"triangles":315200,"surfaceComponents":1,"materialComponents":1,"interiorCavityShells":0,"signedShellVolumes_mm3":[18184.660493996234]},"envelope":{"stlPath":"handle-envelope.stl","meshFile":"handle-envelope.json","displayFile":"handle-envelope-display.json","bounds":[[-15.096992492675781,-147.8727569580078,-5.657289028167725],[15.096992492675781,-39.78739929199219,9.63840103149414]],"watertight":true,"volume_mm3":32382.672409311403,"components":1,"triangles":377638,"surfaceComponents":1,"materialComponents":1,"interiorCavityShells":0,"signedShellVolumes_mm3":[32382.672409311403]},"exportRepair":{"handle":{"binarySTLRoundTripWatertight":true,"binarySTLRoundTripWindingConsistent":true,"maxFloat32VertexDisplacement_mm":0.0,"facesBefore":377392,"facesAfter":377380,"topologyCleanupApplied":false,"removedDetachedPositiveVolumes_mm3":[0.0103338998928786],"removedDetachedVolume_mm3":0.0103338998928786,"method":"Quantize to binary STL float32, weld, remove duplicate and strictly degenerate faces; discard only small disconnected positive-volume cutting chips; preserve internal cavity shells; reload and verify."},"tray":{"binarySTLRoundTripWatertight":true,"binarySTLRoundTripWindingConsistent":true,"maxFloat32VertexDisplacement_mm":0.0,"facesBefore":315200,"facesAfter":315200,"topologyCleanupApplied":false,"removedDetachedPositiveVolumes_mm3":[],"removedDetachedVolume_mm3":0,"method":"Quantize to binary STL float32, weld, remove duplicate and strictly degenerate faces; discard only small disconnected positive-volume cutting chips; preserve internal cavity shells; reload and verify.","manifoldSliverSimplification":{"requestedTolerance_mm":1e-06,"effectiveTolerance_mm":4.949707999912789e-06,"originalTriangles":327072,"simplifiedTriangles":315200,"method":"Manifold bounded surface simplification, then actual float32 STL round-trip verification."}},"envelope":{"binarySTLRoundTripWatertight":true,"binarySTLRoundTripWindingConsistent":true,"maxFloat32VertexDisplacement_mm":0.0,"facesBefore":377638,"facesAfter":377638,"topologyCleanupApplied":false,"removedDetachedPositiveVolumes_mm3":[],"removedDetachedVolume_mm3":0,"method":"Quantize to binary STL float32, weld, remove duplicate and strictly degenerate faces; discard only small disconnected positive-volume cutting chips; preserve internal cavity shells; reload and verify."}},"caveats":["Full oriented-body Boolean outside volumes use 0.01 mm3 tolerance. Validate remaining wall thickness before fabrication.","Finite corridors are physical material removals; all remaining triangles must remain ray blockers."],"finiteApertureCorridors":{"count":24,"method":"Actual convex hull cuts between finite source aperture and sampled curved mirror aperture; all remaining material stays opaque.","sourceRadius_mm":[0.0]},"meshFile":"housing-mesh.json","displayFile":"housing-display.json","seconds":43.33,"geometry":"tongue-study-assets/geometry/lower-tongue-d2-thin","mirrorPocketPolicy":"Actual frozen finite mirror curvature plus 2.2 mm backing and finite clearance; no unmodeled transparent material.","requiresOpticalVerification":true,"tongueNote":"The patient-tongue proxy is a separate opaque blocker (see geometry.json jaws.lower.tongue); it is not part of the housing material."},"originalHandleTest":{"passed":true,"method":"Complete rotated body plus cavity and wall box against original closed handle; validated Boolean and boundary intersections.","checks":[{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01},{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01},{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01},{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01},{"passed":true,"outsideVolume_mm3":0,"booleanStatus":"Error.NoError","expandedBodyEdgeCrossings":0,"originalBoundaryVerticesInside":0,"bodyExpansion_mm":1.36,"cavityClearance_mm":0.35,"remainingWallReserve_mm":1,"numericalBuffer_mm":0.01}]},"motion":null,"cad":{"handle":{"start":0,"count":377380},"tray":{"start":377380,"count":315200}},"evaluation":{"physicalHousingIncluded":true,"heldout":true,"sampleCount":6000,"primarySampleCount":6000,"source":{"layoutSHA256":"0dace963d3d636662c1c02bb2d1577adcab725540dbe131fefbcfafa30f1be73","housingSHA256":"a971e06e3bd7858e4608d50d8c748bd05f8522d2f51b2c3c24bdfc1946206a70","anatomySHA256":"aeda0539cef5aa8746a00dba5605330a7bb2837a210799815a8cdb445737ee16","samplesSHA256":"a79500ec669af07503a7f770045c28c86da1d22150c32c4dc78492ef223677f3","physicsSHA256":"774f214214cb1faa417c6dd4d2ba2fec60e19ccf37ca408daf79f870aabddd67"}},"opticalAssumptions":["Exactly two cameras, two combined light heads, one shared driver strip and opaque wiring segments per layout. The tray contains mirrors and passive supports only.","Camera assembly reserves are 5 × 5 × 8 mm. Light-head reserves are 8 × 8 × 12 mm. The shared driver strip reserve is 12 × 40 × 4 mm. These are proposed assemblies, not qualified purchased systems.","Each camera uses a 4208 × 3120 ideal rectilinear surrogate with a 70° horizontal and 54.87° vertical field (fx 3004.8 px). Actual intrinsics and lens distortion have not been calibrated.","The structured source uses a point pupil and continuous rectangular cone of 109° horizontally and 95° vertically, based on the Himax TL25-W 940 nm fixed-dot projector. Virtual source coordinates encode the cone; they are not a physical pixel array.","Both source and camera routes are direct or use one finite reflection. The acute camera–source ray angle must be at least 10°. Full scan triangles, remaining housing, component and wire boxes, other mirrors and their backing surfaces obstruct routes.","White, 450 nm visible-blue fluorescence for caries and plaque/biofilm, and 850 nm class NIR flood are retained as separate module requirements. No UV channel is proposed. Their individual pupils, signals and diagnostic performance are not inferred from structured-source coverage.","MULTI-SHOT PRESCRIPTION. Every single-pose figure is ONE seated pose. The tray is captured over several rigid re-seatings and stitched; the stitched figures are in the coverage viewer and on the Specifications page, and cohort-study/README.md gives them for every arch of the search cohort. They are simulation under assumed priors, not measurement."],"handleDimensions":{"extents_mm":[30.193984985351562,108.08535766601562,15.295690059661865],"bounds_mm":[[-15.096992492675781,-147.8727569580078,-5.657289028167725],[15.096992492675781,-39.78739929199219,9.63840103149414]],"enlargementVolume_mm3":0.0},"wallSampling":{"method":"12000 deterministic area-uniform samples on the complete external envelope. Begin0.002mm inward along each outward triangle normal; retain only points inside actual post-port material, then take the exact first inward material-boundary hit within300mm. Thickness is a normal-ray measurement, not a minimum-distance wall thickness or global lower bound.","seed":2026092007,"outer_samples":12000,"outer_area_mm2":7769.436341308245,"initial_inward_offset_mm":0.002,"remaining_material_samples":11739,"open_or_removed_at_start_samples":261,"no_exit_within_300mm":0,"minimum_sampled_normal_thickness_mm":0.20729222514518972,"p01_sampled_normal_thickness_mm":1.6340247071788077,"median_sampled_normal_thickness_mm":4.963231629311364,"samples_below_1mm":10,"samples_below_1_5mm":75,"declared_optical_port_exit_samples":1489,"minimum_sampled_normal_thickness_excluding_declared_port_exits_mm":0.5675340357732647,"port_exit_classification":"Exit point within0.002mm of any declared handle/both optical cylinder40facets or exact convex-hull cutter surface. This separates intentional openings from ordinary cavity/bulk exits; it is not a structural 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Features thinner than the starting offset can be skipped.","No strength, sealing, retention or manufacturability conclusion follows from this sample."]},"passiveSeatReinforcements":[],"multiShot":{"railProvenancePenaltyPoints":null,"shots":8,"poses":["nominal","pitch-20_yaw-20","pitch-20_yaw+20","pitch-20_roll-20","pitch_x+20","pitch-12_roll+12","pitch_x-25","pitch+6_yaw-6"],"requiredSamples":6000,"geometricPercent":96.55,"resolvedPercent":89.57,"resolvedScreenMmPerPixel":0.15,"stillMissingPercent":3.451,"stillMissingByRegion":{"0":19,"1":76,"2":113},"sequence":[{"shots":1,"pose":"nominal","rotationDeg":0.0,"liftMm":0.0,"aloneGeometric":62.16,"aloneResolved":49.6,"unionGeometric":62.16,"unionResolved":49.6},{"shots":2,"pose":"pitch-20_yaw-20","rotationDeg":20.0,"liftMm":4.368,"aloneGeometric":64.04,"aloneResolved":47.32,"unionGeometric":81.74,"unionResolved":71.83},{"shots":3,"pose":"pitch-20_yaw+20","rotationDeg":20.0,"liftMm":3.822,"aloneGeometric":58.45,"aloneResolved":44.43,"unionGeometric":88.66,"unionResolved":79.69},{"shots":4,"pose":"pitch-20_roll-20","rotationDeg":20.0,"liftMm":4.468,"aloneGeometric":68.61,"aloneResolved":52.4,"unionGeometric":94.48,"unionResolved":85.1},{"shots":5,"pose":"pitch_x+20","rotationDeg":20.0,"liftMm":1.434,"aloneGeometric":52.82,"aloneResolved":45.12,"unionGeometric":95.36,"unionResolved":87.52},{"shots":6,"pose":"pitch-12_roll+12","rotationDeg":12.0,"liftMm":2.266,"aloneGeometric":63.71,"aloneResolved":50.19,"unionGeometric":96.36,"unionResolved":88.96},{"shots":7,"pose":"pitch_x-25","rotationDeg":-25.0,"liftMm":5.582,"aloneGeometric":72.17,"aloneResolved":56.03,"unionGeometric":96.5,"unionResolved":89.39},{"shots":8,"pose":"pitch+6_yaw-6","rotationDeg":6.0,"liftMm":1.231,"aloneGeometric":56.28,"aloneResolved":47.04,"unionGeometric":96.55,"unionResolved":89.57}],"predictedError":{"median_um":15.8,"measured_area_percent":96.55,"within":{"40":94.0,"50":94.81,"60":95.34,"80":96.07,"100":96.45}},"note":"Merged from full-resolution traces of each pose: a point counts once any pose reaches it. Resolved additionally requires the camera leg at 0.150 mm per pixel or finer.","regions":[{"label":"Tray-facing surfaces","samples":2722,"singlePose":76.48787656135195,"geometric":99.302,"resolved":98.4938},{"label":"Inner-facing sides","samples":1251,"singlePose":46.682653876898485,"geometric":93.9249,"resolved":68.1855},{"label":"Outer-facing sides","samples":2027,"singlePose":52.294030587074495,"geometric":94.4253,"resolved":91.1199},{"label":"Superior-facing remainder","samples":0,"singlePose":null,"geometric":null,"resolved":null},{"label":"Palatal region proxy","samples":0,"singlePose":null,"geometric":null,"resolved":null},{"label":"Recessed / gap proxy (overlaps other regions)","samples":701,"singlePose":42.08273894436519,"geometric":96.5763,"resolved":95.4351}]},"searchCohort":{"arches":6,"note":"Mirror positions searched against this many patients’ arches at once; the figures shown are for the reference arch."}}],"jaws":{"upper":{"label":"Upper 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regions are geometric proxies. Gums are included in these areas; separate tooth/gingiva and individual interdental labels require reviewed anatomical segmentation. Upper palatal proxy is reported separately.","defaultConfig":"upper-compact-cohort-2lights-30mirrors"},"lower":{"label":"Lower 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regions are geometric proxies. Gums are included in these areas; separate tooth/gingiva and individual interdental labels require reviewed anatomical segmentation. Upper palatal proxy is reported separately.","defaultConfig":"lower-tongue-cohort-2lights-24mirrors"}},"limitations":["Geometric coverage is not usable decoded 3D coverage. Tiny, strongly convex mirrors give coarse camera sampling; focus, finite pupil, diffraction, blur, radiometry, noise, projected-code uniqueness and reconstruction error are not established.","The bounded search does not prove global optimality. More mirrors or modules need not improve a separately optimised layout. Successive multi-mirror relay paths are outside this model.","Remaining socket proximity and connected material establish geometric seating only. Retention strength, wall stiffness, tolerances, ergonomics, sterilisation and clinical fit remain unvalidated; the handle enlargement is substantial.","White, structured light, visible-blue fluorescence for caries/plaque and near-infrared channels are provisional shared-aperture envelopes. No UV channel is specified. Wavelength-dependent coatings, filters, sensors, signal and diagnostic performance require bench validation.","The new optical studies use the selected large tray bodies. Small/medium base tray bodies remain available, but the retired optical derivatives have been removed and coverage is not transferred to different sizes or scans.","These comparisons use a stationary seated tray. Motion gains have not been re-evaluated for the replacement layouts and are not added to the reported percentages."],"componentAssumptions":{"camera":[8,8,12],"module":[18,10,24],"driver":[18,20,6],"bodyGap":1,"wall":1.5,"cavityClearance":0.35},"geometry":{"schemaVersion":1,"units":"mm","frame":{"x":"transverse","y":"posterior; handle points negative y","z":"away from tray floor into anatomy"},"handle":{"meshFile":"handle-original-mesh.json","displayFile":"handle-original-display.json","stlPath":"handle-original.stl","bounds":[[-15.09699296951294,-147.8727569580078,-5.657289028167725],[15.09699296951294,-39.78739929199219,9.63840103149414]],"extents_mm":[30.19398593902588,108.08535766601562,15.295690059661865],"watertight":true,"windingConsistent":true,"volume_mm3":32382.673077722004,"triangles":377638},"jaws":{"upper":{"selectedSize":"L","target":{"meshFile":"upper-target-mesh.json","displayFile":"upper-target-display.json","stlPath":"upper-target.stl","bounds":[[-31.98065185546875,-2.0,0.0],[31.98065185546875,51.15302276611328,19.82182025909424]],"extents_mm":[63.9613037109375,53.15302276611328,19.82182025909424],"watertight":false,"windingConsistent":true,"triangles":206705,"plyPath":"upper-target.ply","sourceToScene":[[1.0,0.0,0.0,0.06204986572265625],[0.0,0.0,-1.0,24.400218963623047],[0.0,1.0,0.0,-10.081419944763184],[0.0,0.0,0.0,1.0]],"scale":1,"scanIsOpen":true,"surfaceArea_mm2":3961.141682965251,"samplesFile":"upper-samples.json","source_to_scene":[[1.0,0.0,0.0,0.06204986572265625],[0.0,0.0,-1.0,24.400218963623047],[0.0,1.0,0.0,-10.081419944763184],[0.0,0.0,0.0,1.0]]},"housing":{"meshFile":"upper-tray-L-mesh.json","displayFile":"upper-tray-L-display.json","stlPath":"upper-tray-L.stl","bounds":[[-43.011322021484375,-36.98043441772461,-6.284387588500977],[43.011322021484375,57.71974182128906,10.412186622619629]],"extents_mm":[86.02264404296875,94.70017623901367,16.696574211120605],"watertight":true,"windingConsistent":true,"volume_mm3":31122.842566612366,"triangles":456932},"mounts":[{"p":[34.04407994683109,51.76483200002531,10.404562849988205],"n":[-0.08821395708404657,-0.3478204314436581,0.9334019740957921],"region":"outer","materialThickness_mm":4.016038819485663,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-38.93851886140036,38.02390964741123,10.403978349056501],"n":[0.48458150729893135,0.019858031407758495,0.8745206809289898],"region":"outer","materialThickness_mm":7.633965249969004,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[22.441982947142407,53.93810814794419,10.394671270133754],"n":[-0.08856923703873645,-0.35538415323339456,0.9305146929957415],"region":"outer","materialThickness_mm":6.123216919811731,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[35.577085203543994,28.340084722002846,10.394410638558066],"n":[-0.35957602213067247,0.27541510774077627,0.8915445040696615],"region":"outer","materialThickness_mm":11.197730642674316,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-28.92770314660413,7.569595891896086,10.386266013575915],"n":[0.4403992905936908,0.04933612992071633,0.8964454312053914],"region":"outer","materialThickness_mm":9.471887464178517,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[28.332281886943058,6.611029427881249,10.38495657958832],"n":[-0.4888000327647374,0.12002755164717632,0.8640994820127923],"region":"outer","materialThickness_mm":8.59681870511984,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-32.29684198430213,52.00195669208824,10.370010808096643],"n":[0.05485133966050754,-0.4420220810406736,0.8953255332056155],"region":"outer","materialThickness_mm":4.429184697822191,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-25.68001186612241,53.234185095346085,10.358216819732434],"n":[0.18181272019844963,-0.6185905528179687,0.764388554819079],"region":"outer","materialThickness_mm":3.7601296072337447,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[38.043301703317965,35.682648209717236,10.347236637125748],"n":[-0.8882013544665888,0.3042639880826703,0.34426992241516835],"region":"outer","materialThickness_mm":4.477654045772221,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-35.485783685100394,28.32312543854332,10.307123267787386],"n":[0.9440965661370031,0.323481777491339,0.06357053908346985],"region":"outer","materialThickness_mm":4.469405339899979,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-6.267890210343831,56.06735938245858,10.302745356532899],"n":[-0.00351035074707077,-0.45243889783394214,0.8917884957569482],"region":"inner","materialThickness_mm":3.1886072223558917,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-26.023232033444913,0.4491511790202167,10.29854064354056],"n":[0.8578796945137824,-0.01456006627422512,0.5136442681574764],"region":"outer","materialThickness_mm":4.953250592492376,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-19.003751948865766,54.48542512078235,10.287500766401944],"n":[0.1865445642938079,-0.9361096679852595,0.29816072014428835],"region":"outer","materialThickness_mm":1.773519045123807,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-34.27528948722392,22.12374876247513,10.286110412347],"n":[0.9862501009573719,-0.0436778167267342,0.15938314430189848],"region":"outer","materialThickness_mm":4.363675821607381,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[39.12815840593765,46.54207239540549,10.26503768046693],"n":[-0.7343725609020167,-0.6787440022487614,0.001876487555804383],"region":"outer","materialThickness_mm":1.2412834506656534,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-24.78137513952001,-7.307581354505406,10.25408802348946],"n":[0.38255121550888355,0.3158282549488254,0.8682782278098741],"region":"outer","materialThickness_mm":3.3742656656412215,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[34.27345207816161,22.051195740160786,10.20671989148101],"n":[-0.9983445947496359,-0.04085542581469359,0.040483383204540146],"region":"outer","materialThickness_mm":3.9227330617681857,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-34.38327343512273,16.273312392306714,10.193211782321995],"n":[0.8293988945644772,0.5427009491522625,0.13256377138742095],"region":"outer","materialThickness_mm":1.7202015653006948,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-21.545084539350114,-12.268567046392606,10.165997594785443],"n":[0.47445487354600047,0.2238544266199549,0.8513411587907047],"region":"outer","materialThickness_mm":3.7823673681965966,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[39.74359177855143,40.90465492480249,9.950370219532429],"n":[-0.9088510867603458,0.3123116609076453,0.2764979720642569],"region":"outer","materialThickness_mm":3.210912960734333,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[33.79727707822061,15.43191507111497,9.884806669255918],"n":[-0.8282679859089588,0.528192377526076,0.18704265781277818],"region":"outer","materialThickness_mm":2.267236319539604,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[23.189664969008447,-9.672803305079588,9.742797062391677],"n":[-0.8352173688281987,0.5499199456969005,1.1507328547771563e-05],"region":"outer","materialThickness_mm":1.3177014690527333,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-17.05648535134992,-18.984972975199444,8.688319674394787],"n":[0.8277708526534738,0.5610663197769745,-1.758585890139774e-05],"region":"inner","materialThickness_mm":1.3835763536420205,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[28.22639827696822,52.76502475238415,8.628519595771525],"n":[-0.18816603991099104,-0.9820176950256518,-0.01532279611302637],"region":"outer","materialThickness_mm":2.2356842979688576,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[25.708588790651635,0.49730283179106083,8.55251417551462],"n":[-0.9833971182751913,-0.015045472554576961,0.1808417582408965],"region":"outer","materialThickness_mm":4.649673557567424,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-36.79423159732189,33.56071059032805,7.919502654785347],"n":[0.9261736408695854,0.3184546510997382,0.20196292271434385],"region":"outer","materialThickness_mm":5.31830447580185,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-37.372243405026346,48.40652326413773,7.697361177113177],"n":[0.7334020280841178,-0.6797409942556858,0.008581720712935602],"region":"outer","materialThickness_mm":2.1062639696985,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-31.032312371306812,12.050503007442336,7.1878893493112805],"n":[0.8283211236473859,0.5280765627834255,0.1871343366631982],"region":"outer","materialThickness_mm":3.979864456948086,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[19.78579958341978,-14.842338748368222,6.768071311671788],"n":[-0.8352035686207739,0.5499409049734977,-2.3329100611031198e-07],"region":"outer","materialThickness_mm":2.0280981300630243,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[0.2555872426700745,54.67105948055001,6.610652963046268],"n":[-0.03854165690858926,-0.5847248746726108,0.8103155938409677],"region":"inner","materialThickness_mm":4.625880899648095,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[30.3481993566586,11.202406699787998,6.55304073899269],"n":[-0.8283197763245933,0.5280770640351883,0.18713888582961893],"region":"outer","materialThickness_mm":4.324745969759455,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[8.971045346235256,53.823106971877465,6.382114422455205],"n":[-0.008828057164993344,-0.6235802568420635,0.7817094912328222],"region":"inner","materialThickness_mm":5.126209774145716,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[18.909680040729953,54.58947041983808,6.11259344804606],"n":[-0.18816254094750876,-0.9820183435211686,-0.015324202169028737],"region":"outer","materialThickness_mm":2.00325409385534,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-8.528273309597248,53.28624909358504,5.949072556065938],"n":[0.008780334168121679,-0.6236447290346557,0.7816585940672481],"region":"inner","materialThickness_mm":5.5216574725234135,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-26.469299631236527,5.468211334155077,5.622950317991386],"n":[0.8260643518740836,0.5303330508355024,0.19069489178884358],"region":"outer","materialThickness_mm":5.711882884626007,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[35.9525911284447,33.76262307151624,5.565304827280564],"n":[-0.9087316881723368,0.3124697452927016,0.27671172217340007],"region":"outer","materialThickness_mm":6.340315189062435,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-28.003375455774382,52.797500364516885,5.344832181367548],"n":[0.18815966014188937,-0.982134394014079,-0.002823896224507529],"region":"outer","materialThickness_mm":2.3479623809610106,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-22.93375788901464,-9.25324910389391,5.316959110436297],"n":[0.8682778864840001,0.454356966712838,0.19913125983226965],"region":"outer","materialThickness_mm":2.45308398741685,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-25.130463886688887,-2.5354828848442037,5.165854731959231],"n":[0.9832332543895468,-0.01364048680560319,0.18184142702433578],"region":"outer","materialThickness_mm":3.935547163388465,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[40.626271077745734,44.92215928194704,5.1128447302031415],"n":[-0.7280228184008128,-0.6855528269206387,0.00031207187994567197],"region":"outer","materialThickness_mm":1.7000152773410586,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[35.7575519257272,50.115964112165365,5.109129495098444],"n":[-0.7333985070465328,-0.6797445945468222,0.008597444172152833],"region":"outer","materialThickness_mm":1.8757422868780629,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-38.73881065245459,42.22403262601526,5.072266576238471],"n":[0.9195062831567398,0.25487850655623195,0.29924094327304607],"region":"outer","materialThickness_mm":4.368458306558832,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-33.48973959846649,18.745891915366432,5.0357916889161425],"n":[0.983042668730325,-0.05224210199375117,0.17577791168072002],"region":"outer","materialThickness_mm":4.468568393653454,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-21.32754915593737,54.104376732977286,5.022144425690118],"n":[0.19580427989206156,-0.9803663283721358,-0.02329262050712669],"region":"outer","materialThickness_mm":2.176667338542293,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[33.217325280469346,24.271523812642116,4.979681710802684],"n":[-0.9824221427738703,-0.044034958680931977,0.18140467414475855],"region":"outer","materialThickness_mm":6.690883477434714,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[26.29803702694444,5.498190397256331,4.797745642877111],"n":[-0.8260731030324396,0.5303175923004669,0.19069997310695114],"region":"outer","materialThickness_mm":5.867122831002451,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-19.84818005699867,-14.745916136010077,4.744823327003633],"n":[0.8327659285991261,0.5536009897008456,0.0051819269272427235],"region":"outer","materialThickness_mm":2.289763337311158,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[24.671200129165904,-5.6714899901062985,4.720023912125018],"n":[-0.8684831710731659,0.45408191207539567,0.19886326631293874],"region":"outer","materialThickness_mm":2.580218147179958,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-33.15306261781911,24.982633380688984,4.542389051841606],"n":[0.968961478450156,0.1523606813681353,0.1946789050018649],"region":"outer","materialThickness_mm":6.626057790370501,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[37.7900907899572,40.16817592353767,4.36642572690595],"n":[-0.90872991127433,0.3124689616227914,0.27671844242428606],"region":"outer","materialThickness_mm":5.2467582887917885,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[33.21013077639295,16.478987670026328,4.335593546269813],"n":[-0.8389112000213381,0.5104232871000479,0.18893402675204019],"region":"outer","materialThickness_mm":3.587981887971445,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[4.478121415624534,51.32060952800492,4.335435526105141],"n":[-0.008794963163142482,-0.6235441157477944,0.7817386931317011],"region":"inner","materialThickness_mm":5.698736919190745,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[25.00748763692082,53.44145205736936,4.116046712581706],"n":[-0.1949710624445435,-0.9808044656896746,-0.0029807536694438546],"region":"outer","materialThickness_mm":2.2421843212454786,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-33.86926938616314,51.67709066718002,4.095713368982779],"n":[0.18819215294816105,-0.9821282548541125,-0.0027936689051317617],"region":"outer","materialThickness_mm":1.527210541879212,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-15.173982920203942,55.01324911529678,3.974905954496606],"n":[-0.24024792826211805,-0.9229446373956258,0.30075592973109755],"region":"inner","materialThickness_mm":1.9812648852060444,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[13.867300259078045,54.213667901886524,3.7552499517441023],"n":[0.4125508239903541,-0.7233297207871392,0.5537110552001643],"region":"inner","materialThickness_mm":3.368757598301463,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-3.291800944579276,50.552316182949625,3.709164011779554],"n":[0.0087492101597245,-0.6236464820361837,0.7816575444307264],"region":"inner","materialThickness_mm":5.548440442143831,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-34.7553120579984,30.5964457204523,3.2434511287997956],"n":[0.9261667354936639,0.3184733606061133,0.20196508769898364],"region":"outer","materialThickness_mm":6.499584281011694,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-4.2501651891744965,36.37470111330022,2.9593392998805452],"n":[3.513304258722852e-07,8.007900857231271e-08,0.9999999999999352],"region":"inner","materialThickness_mm":8.355439577954394,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[4.081329232132384,35.423640357334946,2.959339021114726],"n":[-8.357299271287652e-07,9.836823542330707e-08,0.999999999999646],"region":"inner","materialThickness_mm":8.431755966362239,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[0.031027891743445668,40.00969065483744,2.9593288878365933],"n":[9.918998052156232e-05,-2.367798019220779e-05,0.9999999948003504],"region":"inner","materialThickness_mm":7.994511669026703,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[30.423249654477655,52.36862338039382,2.880332312234378],"n":[-0.19497276256092888,-0.980804123974024,-0.0029819884150234064],"region":"outer","materialThickness_mm":2.007758540586069,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[24.67711170823469,-0.4011370373206724,2.8745770170307923],"n":[-0.9832307731181347,-0.013651351965071983,0.18185402767890768],"region":"outer","materialThickness_mm":5.262408233218716,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[0.5568797830532964,12.056807186614893,2.849055894145984],"n":[-0.0008726225956023849,0.2132869894806669,0.9769892008861097],"region":"inner","materialThickness_mm":9.226896393252703,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[21.373005255110264,-11.117503421092474,2.76520827285549],"n":[-0.8682721401376557,0.45436876117750186,0.19912940397338968],"region":"outer","materialThickness_mm":2.9419317962752656,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-0.2177231731615934,32.008298154492195,2.26609881303781],"n":[0.032149051968918735,-0.4991788818507719,0.8659023515222214],"region":"inner","materialThickness_mm":8.857289730471694,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[17.338084420003494,-17.949782052381444,1.9361548561925908],"n":[-0.8385953975369058,0.47848697093500386,0.26039965029808293],"region":"inner","materialThickness_mm":3.1826563359932716,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-28.71287846030424,10.326981667564864,1.8297830991480883],"n":[0.8260654792423493,0.5303306065538338,0.19069680583677948],"region":"outer","materialThickness_mm":5.293680765124393,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-8.468336848790003,49.54100534001664,1.7957550968262834],"n":[-0.5188829124465318,-0.455819510696796,0.7231798509631876],"region":"inner","materialThickness_mm":4.940146963944577,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-36.47943293101386,37.94846601067505,1.7532777908064443],"n":[0.9199351574363154,0.254875317428716,0.29792260518166896],"region":"outer","materialThickness_mm":5.682815435928374,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[0.4457990047634653,17.868491136559665,1.4340600773465788],"n":[0.0925883069740372,0.22895463274060845,0.9690238292004456],"region":"inner","materialThickness_mm":7.800808931593981,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[8.89424088342838,49.44563860003699,1.4116457774457105],"n":[0.5421693405805902,-0.44366648180641427,0.7135912408766846],"region":"inner","materialThickness_mm":4.656613727742803,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-37.61263285992188,48.12081505990816,1.3902822050692454],"n":[0.7276691077949556,-0.6859282729792785,0.0002718244972709087],"region":"outer","materialThickness_mm":1.845235533732174,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-6.264770790020264,31.374454835950697,1.3109070077905827],"n":[-0.2500177343484997,-0.556727863805435,0.7921775168318523],"region":"inner","materialThickness_mm":8.514265986955202,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[33.92900747507072,30.484673110845133,1.2449808883411877],"n":[-0.9450181113412495,0.2578469292542798,0.20113609897568413],"region":"outer","materialThickness_mm":6.779281826871656,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-24.264473186064386,3.3731335631720336,0.9130962029565187],"n":[0.982418436026627,0.023156641444137004,0.18525060461986076],"region":"outer","materialThickness_mm":6.9012049364146595,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[5.930440147990325,30.623453094025095,0.8884232537615021],"n":[0.2498976056055321,-0.5567891546588788,0.7921723448637127],"region":"inner","materialThickness_mm":8.079656060532836,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-23.69276722902243,-5.847162971960444,0.8546895914713717],"n":[0.8683080403382641,0.4543166891907672,0.19909166985753857],"region":"outer","materialThickness_mm":3.1588058078042036,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[29.48383133258802,11.942347799457389,0.67723963292647],"n":[-0.8260737183582681,0.5303187574373438,0.19069406741652006],"region":"outer","materialThickness_mm":4.97225239646985,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[32.60174716833143,20.653374601737433,0.6366080533798804],"n":[-0.9830424438844109,-0.05223595381192352,0.1757809962741234],"region":"outer","materialThickness_mm":5.448160821577631,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-4.447875342322236,11.80542283641452,0.5281619247895124],"n":[-0.5890038978406068,0.16532992770092395,0.7910375612668336],"region":"inner","materialThickness_mm":8.483493631522933,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-31.51020506045306,15.162485117096962,0.5217475010162116],"n":[0.8283213894705398,0.5280714318722229,0.18714763847298357],"region":"outer","materialThickness_mm":4.242894822969569,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-17.13148261385024,-17.519327886377937,0.4798346494932715],"n":[0.8386002916107026,0.47849539542425595,0.2603684072006999],"region":"inner","materialThickness_mm":3.4604324542062375,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[18.658301288741576,52.37062103238215,0.39271426217891414],"n":[-0.23786644500098764,-0.48830645905185804,0.8396287015049141],"region":"outer","materialThickness_mm":1.5312907995153076,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."}],"fit":{"allSizes":{"S":{"poseTranslation_mm":[0,-10.0,1.0],"sampleCount":1800,"sampleInsideMaterial":0,"sampleMinClearance_mm":1.110913250114533,"engagedFraction":0.8194444444444444,"score":1.0416666666666667,"method":"Coarse 0.8 mm occupancy search; real supplied triangle proximity and watertight solid containment on 1,800 deterministic surface samples for six finalists.","feasibleSampled":true},"M":{"poseTranslation_mm":[0,-6.0,0.0],"sampleCount":1800,"sampleInsideMaterial":0,"sampleMinClearance_mm":1.605757161571533,"engagedFraction":0.8477777777777777,"score":0.6966666666666668,"method":"Coarse 0.8 mm occupancy search; real supplied triangle proximity and watertight solid containment on 1,800 deterministic surface samples for six finalists.","feasibleSampled":true},"L":{"poseTranslation_mm":[0,-2.0,0.0],"sampleCount":1800,"sampleInsideMaterial":0,"sampleMinClearance_mm":1.7134753953050568,"engagedFraction":0.8477777777777777,"score":0.5366666666666667,"method":"Coarse 0.8 mm occupancy search; real supplied triangle proximity and watertight solid containment on 1,800 deterministic surface samples for six finalists.","feasibleSampled":true}},"selected":"L","exactAudit":{"targetEdgesTested":310739,"crossingTargetEdges":0,"housingEdgesTested":685398,"crossingHousingEdges":0,"clearanceSamples":6000,"insideMaterialSamples":0,"sampledMinClearance_mm":1.7054128018162376,"sampledP01Clearance_mm":2.6338728426967304,"transverseSurfaceIntersectionDetected":false,"passes":true,"limitations":"All mesh edges checked both ways with 1e-5 mm ray endpoint tolerance; coplanar overlap and unscanned anatomy are not proven absent. Clearance is sampled, not a global minimum."},"selectedMethod":"Best bounded fit score among S/M/L; no scan scale change. Score rewards low seating height, engagement below rim, clearance, and small anterior shift."},"regions":[{"id":0,"name":"Tray-facing surfaces","primary":true,"description":"Normal z < -0.55; occlusal-facing proxy, includes some gums."},{"id":1,"name":"Inner-facing sides","primary":true,"description":"Side normals (abs z <=0.55) point toward arch interior; geometric proxy."},{"id":2,"name":"Outer-facing sides","primary":true,"description":"Other side normals (abs z <=0.55); includes gingiva and scan boundary regions."},{"id":3,"name":"Superior-facing remainder","primary":false,"description":"Normal z >0.55, excluding separately identified palatal proxy; excluded from bottom-and-side primary coverage."},{"id":4,"name":"Palatal region proxy","primary":false,"description":"Upper central elevated arch interior; reported separately, not clinically segmented palate."}],"regionArea_mm2":{"0":1470.1410398552896,"1":294.46257493564383,"2":1151.880712931164,"3":5.351465953703823,"4":1039.3059026944898},"primaryArea_mm2":2916.484327722098},"lower":{"selectedSize":"L","target":{"meshFile":"lower-target-mesh.json","displayFile":"lower-target-display.json","stlPath":"lower-target.stl","bounds":[[-29.38786506652832,-10.0,3.0],[29.38786506652832,37.60223960876465,18.468116760253906]],"extents_mm":[58.77573013305664,47.60223960876465,15.468116760253906],"watertight":false,"windingConsistent":true,"triangles":103904,"plyPath":"lower-target.ply","sourceToScene":[[-1.0,0.0,0.0,0.5434741973876953],[0.0,1.0,0.0,10.054035186767578],[0.0,0.0,-1.0,8.920525550842285],[0.0,0.0,0.0,1.0]],"scale":1,"scanIsOpen":true,"surfaceArea_mm2":2226.1518557451864,"samplesFile":"lower-samples.json","source_to_scene":[[-1.0,0.0,0.0,0.5434741973876953],[0.0,1.0,0.0,10.054035186767578],[0.0,0.0,-1.0,8.920525550842285],[0.0,0.0,0.0,1.0]]},"housing":{"meshFile":"lower-tray-L-mesh.json","displayFile":"lower-tray-L-display.json","stlPath":"lower-tray-L.stl","bounds":[[-39.95000076293945,-36.98043441772461,-6.284387588500977],[39.95000076293945,41.52116012573242,13.715612411499023]],"extents_mm":[79.9000015258789,78.50159454345703,20.0],"watertight":true,"windingConsistent":true,"volume_mm3":22192.575145986513,"triangles":380978,"referenceBodyDimensions_mm":[79.9,62.2,20.0],"bodyAnteriorDatum_y":-20,"bodyPosterior_y":41.52116012573242,"tongueOpeningHalfWidth_mm":16.0,"tongueOpeningFront_y":-1,"method":"Nonuniform tray-body dimension adjustment with preserved neck blend, then full-height rounded tongue-space subtraction from supplied corresponding upper STL.","sourceUpperUnchanged":true,"mirrorBearingEdges":"Original outer thick edges retained; inner edges are the solid residual boundary after tongue-space subtraction.","referenceBodyPosterior_y":42.2,"actualPostCutBodyDimensions_mm":[79.9000015258789,61.52116012573242,20.0],"lengthNote":"Reference length sizes the pre-cut envelope. Tongue-space subtraction removes the rearmost central material; measured remaining horseshoe arms are shorter."},"mounts":[{"p":[32.45995446739104,17.125642247591895,13.71212280698242],"n":[-0.609913023651186,0.04099242303483147,0.7914074328905444],"region":"outer","materialThickness_mm":8.115441846014923,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-30.32444621139268,6.66772522126258,13.704242131366795],"n":[0.5788731901195755,0.08430673388542761,0.8110475968661504],"region":"outer","materialThickness_mm":4.542931539943507,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-36.5117919658646,27.32999480298663,13.702563240070212],"n":[0.5257311728384189,0.35218207422020564,0.7743219747003789],"region":"outer","materialThickness_mm":5.7663076282626236,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[27.359295378922894,38.08015422256316,13.700607123019743],"n":[-0.03694597953640842,-0.7134288844773666,0.6997529716903498],"region":"outer","materialThickness_mm":2.4073459972513542,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[36.07309924181773,26.311260329310528,13.6935510199583],"n":[-0.6603814642651202,0.09001131257194744,0.7455161200565225],"region":"outer","materialThickness_mm":5.326336535262073,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-26.597767075185637,38.215329737707094,13.690538764367082],"n":[0.06464539060883243,-0.5972851945867763,0.799419395436756],"region":"outer","materialThickness_mm":2.9863452545381737,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-31.88760298355868,13.696949061289303,13.689287069989911],"n":[0.6746724042759177,-0.017463538669679708,0.7379106800458205],"region":"outer","materialThickness_mm":6.4656142405728865,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[37.288346506358195,32.55120482375954,13.685704512609194],"n":[-0.3866118851862497,-0.06563071219542921,0.9199042666764051],"region":"outer","materialThickness_mm":4.494720244562676,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[17.82657823420166,39.63598428069833,13.673370657763341],"n":[-0.06855525870956518,-0.5172302184273304,0.8530961713950431],"region":"inner","materialThickness_mm":3.0664982514482593,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-25.730267542950013,0.5616665918292926,13.666125983639443],"n":[0.4383379010742664,0.39892429135799773,0.8054311232168311],"region":"outer","materialThickness_mm":7.167447846138301,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[32.037913324460895,10.282389779615794,13.65917326872579],"n":[-0.6286067011883605,-0.01628763179436954,0.7775527816628388],"region":"outer","materialThickness_mm":4.306448790651403,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[25.223743193905413,-0.05924281603990046,13.624031939388761],"n":[-0.8446817496868676,0.4533527857779161,0.28457686724914005],"region":"outer","materialThickness_mm":4.143229433290874,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-20.075729838380692,39.22261488844285,13.607747746666925],"n":[0.16861603613378684,-0.9701796975089105,0.17412635326121137],"region":"outer","materialThickness_mm":1.2843252632936917,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[21.630046061248372,-11.678692020716252,13.514274492924157],"n":[-0.270979911053893,0.22771483150160315,0.9352624462253475],"region":"outer","materialThickness_mm":4.826984023245299,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-35.98512999875308,33.58780105959288,13.498849758649518],"n":[0.6813265669397928,-0.7319785663819454,0.0012196472720007543],"region":"outer","materialThickness_mm":1.2018640535708074,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-33.51098865898449,20.067040869781607,13.4685192584103],"n":[0.9280640074668598,0.37068707454914224,0.035892768167850024],"region":"outer","materialThickness_mm":3.913183545178042,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[18.21412493442813,-16.293068676746035,13.313699366040375],"n":[-0.40175265356136447,0.15938218006399263,0.9017716595870882],"region":"outer","materialThickness_mm":4.4041755235878615,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-24.195616837758237,-7.722435645407726,13.195758598935303],"n":[0.9898236448292158,-0.017474507262979062,0.1412224972620246],"region":"outer","materialThickness_mm":1.3103029159705095,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[24.09422855045175,-6.574949820132097,12.627785871249944],"n":[-0.9898306344698952,-0.0175867629945558,0.141159558062138],"region":"outer","materialThickness_mm":2.2895380490531063,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[28.791684952892297,5.073206322835466,12.108996421029172],"n":[-0.7960298601649438,0.5889734250166904,0.13945166313059512],"region":"outer","materialThickness_mm":3.192849315274394,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[33.70419695156358,21.978418266893442,10.996873219249942],"n":[-0.9072194472301569,0.36203845910679366,0.21419857304610376],"region":"outer","materialThickness_mm":5.116821348079392,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-16.0,40.39831835898786,9.852854123920405],"n":[1.0,-0.0,-0.0],"region":"inner","materialThickness_mm":9.16967214167245,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-23.621641231073333,-2.884074892437449,9.773326935245814],"n":[0.9898322142851049,-0.017579835900566793,0.14114934265931034],"region":"outer","materialThickness_mm":4.989633535002355,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[23.050624100936343,38.77740665098694,9.671050340634089],"n":[-0.1629123399612359,-0.9865868751546817,-0.010291125345428632],"region":"outer","materialThickness_mm":1.852392855389678,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-34.233336812248794,23.632555677925314,9.261466432537055],"n":[0.9175336277203584,0.3661473378777413,0.15513919223510841],"region":"outer","materialThickness_mm":5.0227031550648915,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-21.448628026945798,-11.58584970653915,9.077190583339037],"n":[0.844998509754104,0.5132221009370802,0.15026840527227692],"region":"outer","materialThickness_mm":1.8657870073443645,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-27.794355363073205,4.452827341141538,9.036202567943945],"n":[0.7960274935944271,0.588975956276603,0.13945448135443816],"region":"outer","materialThickness_mm":4.014347730298526,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-31.42533497991323,9.738339669143487,9.018801035698324],"n":[0.99023929131032,-0.018708708087428493,0.1381163646601474],"region":"outer","materialThickness_mm":3.1576086342497978,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-36.45329673315674,30.029209485618473,8.90220041681384],"n":[0.9259074183317964,0.2977154775634264,0.23251010106515563],"region":"outer","materialThickness_mm":3.6371430976534014,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-23.333792730024655,38.70029974751328,8.827448298525166],"n":[0.16288894292834039,-0.9866426199388082,-0.0018795722844500372],"region":"outer","materialThickness_mm":1.896217731470609,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[35.96541542210344,28.943658588679178,8.80139221460828],"n":[-0.9072187252491545,0.36203174866656,0.2142129723306498],"region":"outer","materialThickness_mm":4.158584305186581,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-31.832405228429224,17.8920893971993,8.610222263858567],"n":[0.9175299979603608,0.366153683906057,0.15514568187636957],"region":"outer","materialThickness_mm":5.646909109934302,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[16.0,40.75712928792637,8.433512407700945],"n":[-0.9999999999999999,-0.0,0.0],"region":"inner","materialThickness_mm":6.955192395709496,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[16.70428332522725,-18.480481646719934,8.316275324310066],"n":[-0.8558887836790626,0.5171598777755791,-0.0002253697473067167],"region":"inner","materialThickness_mm":2.167001263751693,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[31.007475180716416,15.695361216680096,8.309128473961094],"n":[-0.9862512177368831,0.07182843547206633,0.148826111183994],"region":"outer","materialThickness_mm":5.891238178599913,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[30.856661756241262,8.781831947005088,8.232851246148579],"n":[-0.7960134638230238,0.5889938280070913,0.13945908354074474],"region":"outer","materialThickness_mm":3.0710453985498445,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-17.232994911690223,-17.61902771561955,8.185769339264901],"n":[0.8436117325790133,0.5369514318449836,0.0015506433043997706],"region":"inner","materialThickness_mm":2.1528444341726387,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[32.57838757621338,36.71073498298662,8.146758496912836],"n":[-0.6808408947423602,-0.7324052534674224,0.006182292434299009],"region":"outer","materialThickness_mm":1.37317576294794,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[22.08263063058192,-10.269235998724573,8.145526488031823],"n":[-0.8450093687598691,0.5132055064752158,0.150264017088472],"region":"outer","materialThickness_mm":2.086453150292393,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[25.10080599647049,1.0367516685332638,8.13528962975041],"n":[-0.7937701025999112,0.5913896365109759,0.14208209614846612],"region":"outer","materialThickness_mm":4.955139251220819,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[23.31216129022044,-4.5292568900578285,7.398062701895702],"n":[-0.9898334528447224,-0.017563277380982744,0.1411427182575626],"region":"outer","materialThickness_mm":4.4663169482794345,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-34.18017872981677,35.211420296749196,6.942911742186858],"n":[0.6808714000691626,-0.7323768614196989,0.006186228648327272],"region":"outer","materialThickness_mm":1.7446003851841994,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-29.108729296216463,37.7513464765531,6.471761877055503],"n":[0.16289628938916254,-0.986641405087778,-0.0018806035353825747],"region":"outer","materialThickness_mm":1.6255987895698323,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[33.58390471974779,24.62931989000182,6.0070142361808605],"n":[-0.9072177278464834,0.3620375213873569,0.21420744008732057],"region":"outer","materialThickness_mm":5.874169559533329,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-23.097569930571257,-6.67001848140529,5.655548822834032],"n":[0.9897479125472372,-0.015934531094400305,0.14193364762165503],"region":"outer","materialThickness_mm":3.499578081333816,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[36.172336833260054,33.38692052595249,5.335143743704958],"n":[-0.6750650380972513,-0.737758188688886,0.00022217391996182074],"region":"outer","materialThickness_mm":1.7082935964400674,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-24.413699385872906,0.8065930677063047,5.254700651733776],"n":[0.793757920709139,0.5914032399581436,0.14209352933372574],"region":"outer","materialThickness_mm":5.418245114415077,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-18.771411889817756,39.519860210171935,5.079125069504995],"n":[0.1695812600600814,-0.9853918769133082,-0.015653918030409764],"region":"outer","materialThickness_mm":1.5022230112461492,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[26.617545467308233,38.1977202451852,5.027867027981574],"n":[-0.16882122898723909,-0.9856446556165487,-0.002001373971334586],"region":"outer","materialThickness_mm":1.710557293092619,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[20.068207428921077,39.31830063992835,5.020529320595754],"n":[-0.1628937791671498,-0.9865899680299414,-0.010288425113836035],"region":"outer","materialThickness_mm":1.560660477791696,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[27.82985067027574,5.572329810980122,4.510456942871449],"n":[-0.7960413562860378,0.5889621988477152,0.13943345154858003],"region":"outer","materialThickness_mm":4.403107030271894,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-30.595172454323407,12.858442677109396,4.413248388484914],"n":[0.9886803461997492,-0.06098195201013229,0.13708528209613968],"region":"outer","materialThickness_mm":5.340670102659321,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[19.159923250500526,-13.905679432820547,4.129751157870209],"n":[-0.8449419581061203,0.5132851300985013,0.1503710831628208],"region":"outer","materialThickness_mm":2.6231863624285077,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-28.623685962027675,6.758789302298155,4.030956557984744],"n":[0.796033465458747,0.5889672183841882,0.13945729646931226],"region":"outer","materialThickness_mm":4.159129603652018,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-19.452713108646645,-13.392891804919016,4.025331794590654],"n":[0.8449993840678086,0.5132115576812655,0.15029949430185435],"region":"outer","materialThickness_mm":2.654237841664909,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-32.31003209457032,21.04404190907439,3.9963132884764843],"n":[0.9176788446710158,0.3654487486075025,0.15592546355384018],"region":"outer","materialThickness_mm":5.992548913507472,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-34.43691914856925,27.688657046748954,3.869538553483787],"n":[0.9259073156516315,0.297718966771764,0.23250604217340948],"region":"outer","materialThickness_mm":5.111910335060777,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[30.532155877213675,11.475242253970643,3.3435211701192324],"n":[-0.9886818871434423,-0.060969974851967326,0.13707949591763224],"region":"outer","materialThickness_mm":4.712459037584042,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[31.113192926742894,18.93794824445466,3.1173527736875966],"n":[-0.9417604788329319,0.2982163170541659,0.1554163078670191],"region":"outer","materialThickness_mm":6.351113388209846,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-24.615555066685207,38.40653004192905,3.0511731439201957],"n":[0.07316496702861099,-0.6810220045324817,0.728598597955186],"region":"outer","materialThickness_mm":1.6940414842276925,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[16.006096561166412,-18.79099860192252,2.8216290012484473],"n":[-0.8716582171884588,0.4395251792140394,0.21686301954160808],"region":"inner","materialThickness_mm":3.3170336123669095,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[23.542235508170677,0.23968424637915198,2.7458983297769537],"n":[-0.7937673959838806,0.5913929250966423,0.14208352901939872],"region":"outer","materialThickness_mm":5.763212460956709,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-16.450874059443755,-17.80665641372989,2.5719270175294118],"n":[0.8695994927499244,0.44452728914380774,0.21492373395121256],"region":"inner","materialThickness_mm":3.2907574051255626,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-37.264416704848365,32.38671597178701,2.3951970147692085],"n":[0.6750069746275517,-0.7378112922484938,0.0002850171348238349],"region":"outer","materialThickness_mm":1.1584101105105298,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[22.602018712838476,-7.541877340002285,2.287141489791504],"n":[-0.9677767441434642,0.20556411832756477,0.1454357822246203],"region":"outer","materialThickness_mm":2.998372142211636,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[32.084568320040745,35.7698254917742,1.9035491801822113],"n":[-0.25603606524031775,-0.4432099101168515,0.8590753802027319],"region":"outer","materialThickness_mm":2.2409434195762246,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[0.6738182530627191,-18.64787501422197,1.7687252549472412],"n":[0.42770237625775015,0.04024493209221262,0.9030232681301005],"region":"inner","materialThickness_mm":8.14831296744492,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-32.3612734454403,35.374644092908405,1.741029571399518],"n":[0.12486163502690605,-0.4531663598243818,0.8826379905838674],"region":"outer","materialThickness_mm":2.361180876504949,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[0.0020737431411846086,-11.659943089194693,1.636714974968617],"n":[0.0006387889378873544,0.040679085576487126,0.9991720592297173],"region":"inner","materialThickness_mm":7.750816743230875,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[34.06973801256059,28.468465477901333,1.5758943551130669],"n":[-0.9072288938253849,0.3620071330974596,0.21421150714872159],"region":"outer","materialThickness_mm":4.8967110945272765,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-0.10203136318018895,-5.642653369261568,1.3924291506658704],"n":[-0.061468672552333674,0.03155915959827305,0.9976099547118126],"region":"inner","materialThickness_mm":7.595072450124434,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-22.419470304325205,-2.709718526022229,1.3715798276623077],"n":[0.9897470963295502,-0.01595072861779692,0.14193751992966974],"region":"outer","materialThickness_mm":5.828210089407751,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[16.63525466573501,37.48410193349647,1.0812480183218378],"n":[-0.2655965526509329,-0.6329661753016075,0.7271948103115112],"region":"inner","materialThickness_mm":1.4318807673535867,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[22.694931658021105,36.14756761124053,0.7270154758023879],"n":[-0.07552474034895781,-0.6832847277481875,0.7262354951538155],"region":"outer","materialThickness_mm":1.8506763934357404,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-16.164817890159956,37.22838201429603,0.6861620358802702],"n":[0.26593598018240433,-0.6328765310795917,0.7271487817861528],"region":"inner","materialThickness_mm":1.29504756697512,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-21.536908003578674,-8.90334771969239,0.4126193489415],"n":[0.8450890294565172,0.5130860749929524,0.1502238727385499],"region":"outer","materialThickness_mm":2.89122017129122,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-29.826776425469667,16.352055664404226,0.08784888905552762],"n":[0.9776364557634236,0.14784383300560663,0.14956323547095993],"region":"outer","materialThickness_mm":5.869357213208736,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-24.611036246193503,2.3523556148219478,-0.07667377873954506],"n":[0.7933353721287256,0.5918783625497832,0.1424745285121661],"region":"outer","materialThickness_mm":5.184212043098531,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-21.480827506485383,35.22826377538374,-0.2598630375574882],"n":[0.08166651666260868,-0.6680425700028051,0.739628085405255],"region":"outer","materialThickness_mm":1.6248155287386272,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-30.05284580367893,10.504238240030487,-0.5453645702143534],"n":[0.988654982404679,-0.060880149482917756,0.13731326653073836],"region":"outer","materialThickness_mm":3.660934965793772,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[25.810711287133298,4.091938457672324,-0.6152323850336452],"n":[-0.7940049324589044,0.5910629582916098,0.14212933042303957],"region":"outer","materialThickness_mm":4.640932391721015,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-4.086030252304899,-17.061284857317492,-0.6539477434599561],"n":[-0.8208277598267264,0.16226698520351196,0.5476415015416578],"region":"inner","materialThickness_mm":9.138930162421383,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-32.15599481178756,24.20410290620186,-0.7515533781452123],"n":[0.9264415577328069,0.29682668556620956,0.23151664916672537],"region":"outer","materialThickness_mm":4.482592806386014,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-27.66213596815921,33.914486357235575,-0.7631862418784405],"n":[0.08170088672259063,-0.6677640217045361,0.7398757844569089],"region":"outer","materialThickness_mm":1.6958815290927485,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[-19.33301338285308,18.97231221038133,-0.9006990433422798],"n":[0.005539443465814837,0.01097384495865147,0.9999244417919348],"region":"outer","materialThickness_mm":4.483152989845303,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[17.57167728600858,19.218531764872647,-0.9041551905657905],"n":[-0.016942039579765242,-0.09858779936022545,0.994984127065445],"region":"inner","materialThickness_mm":4.560744053342005,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."},{"p":[26.55983872483619,17.664111186952077,-0.9093155395412862],"n":[-0.00045722563219392065,-0.041396091513396925,0.9991427098028267],"region":"outer","materialThickness_mm":3.816279161243144,"maxNominalAperture_mm":[5,5],"note":"Measured surface centre and normal, backing thickness ray checked; full finite mirror footprint containment still required."}],"fit":{"allSizes":{"S":{"poseTranslation_mm":[0,-16.0,10.0],"sampleCount":1800,"sampleInsideMaterial":0,"sampleMinClearance_mm":0.4726170802669603,"engagedFraction":0.17,"score":4.268888888888888,"method":"Coarse 0.8 mm occupancy search; real supplied triangle proximity and watertight solid containment on 1,800 deterministic surface samples for six finalists.","feasibleSampled":false},"M":{"poseTranslation_mm":[0,-14.0,6.0],"sampleCount":1800,"sampleInsideMaterial":0,"sampleMinClearance_mm":0.642456917712602,"engagedFraction":0.7766666666666666,"score":1.857777777777778,"method":"Coarse 0.8 mm occupancy search; real supplied triangle proximity and watertight solid containment on 1,800 deterministic surface samples for six finalists.","feasibleSampled":false},"L":{"poseTranslation_mm":[0,-10.0,3.0],"sampleCount":1800,"sampleInsideMaterial":0,"sampleMinClearance_mm":1.5065444678047644,"engagedFraction":0.9755555555555555,"score":0.7733333333333335,"method":"Coarse 0.8 mm occupancy search; real supplied triangle proximity and watertight solid containment on 1,800 deterministic surface samples for six finalists.","feasibleSampled":true}},"selected":"L","exactAudit":{"targetEdgesTested":156754,"crossingTargetEdges":0,"housingEdgesTested":571467,"crossingHousingEdges":0,"clearanceSamples":6000,"insideMaterialSamples":0,"sampledMinClearance_mm":1.356105509110928,"sampledP01Clearance_mm":2.6232676063478246,"transverseSurfaceIntersectionDetected":false,"passes":true,"limitations":"All mesh edges checked both ways with 1e-5 mm ray endpoint tolerance; coplanar overlap and unscanned anatomy are not proven absent. Clearance is sampled, not a global minimum."},"selectedMethod":"Best bounded fit score among S/M/L; no scan scale change. Score rewards low seating height, engagement below rim, clearance, and small anterior shift."},"regions":[{"id":0,"name":"Tray-facing surfaces","primary":true,"description":"Normal z < -0.55; occlusal-facing proxy, includes some gums."},{"id":1,"name":"Inner-facing sides","primary":true,"description":"Side normals (abs z <=0.55) point toward arch interior; geometric proxy."},{"id":2,"name":"Outer-facing sides","primary":true,"description":"Other side normals (abs z <=0.55); includes gingiva and scan boundary regions."},{"id":3,"name":"Superior-facing remainder","primary":false,"description":"Normal z >0.55, excluding separately identified palatal proxy; excluded from bottom-and-side primary coverage."},{"id":4,"name":"Palatal region proxy","primary":false,"description":"Upper central elevated arch interior; reported separately, not clinically segmented palate."}],"regionArea_mm2":{"0":1018.7284580052245,"1":478.1073094491037,"2":729.3029092757431,"3":0.013174882681188698,"4":0.0},"primaryArea_mm2":2226.138676730071}},"sizes":{"upper":{"S":{"meshFile":"upper-tray-S-mesh.json","displayFile":"upper-tray-S-display.json","stlPath":"upper-tray-S.stl","bounds":[[-39.39384460449219,-36.98038864135742,-6.284372329711914],[39.39384460449219,49.59638214111328,10.41218090057373]],"extents_mm":[78.78768920898438,86.5767707824707,16.696553230285645],"watertight":true,"windingConsistent":true,"volume_mm3":27308.2019469576,"triangles":399180},"M":{"meshFile":"upper-tray-M-mesh.json","displayFile":"upper-tray-M-display.json","stlPath":"upper-tray-M.stl","bounds":[[-41.257476806640625,-36.98057556152344,-6.284395217895508],[41.257476806640625,54.427146911621094,10.412162780761719]],"extents_mm":[82.51495361328125,91.40772247314453,16.696557998657227],"watertight":true,"windingConsistent":true,"volume_mm3":28946.211372035905,"triangles":432412},"L":{"meshFile":"upper-tray-L-mesh.json","displayFile":"upper-tray-L-display.json","stlPath":"upper-tray-L.stl","bounds":[[-43.011322021484375,-36.98043441772461,-6.284387588500977],[43.011322021484375,57.71974182128906,10.412186622619629]],"extents_mm":[86.02264404296875,94.70017623901367,16.696574211120605],"watertight":true,"windingConsistent":true,"volume_mm3":31122.842566612366,"triangles":456932}},"lower":{"S":{"meshFile":"lower-tray-S-mesh.json","displayFile":"lower-tray-S-display.json","stlPath":"lower-tray-S.stl","bounds":[[-30.850000381469727,-36.98038864135742,-6.284372329711914],[30.850000381469727,29.895769119262695,12.01562786102295]],"extents_mm":[61.70000076293945,66.87615776062012,18.300000190734863],"watertight":true,"windingConsistent":true,"volume_mm3":16254.380831095574,"triangles":337464,"referenceBodyDimensions_mm":[61.7,50.5,18.3],"bodyAnteriorDatum_y":-20,"bodyPosterior_y":29.895769119262695,"tongueOpeningHalfWidth_mm":12.0,"tongueOpeningFront_y":-1,"method":"Nonuniform tray-body dimension adjustment with preserved neck blend, then full-height rounded tongue-space subtraction from supplied corresponding upper STL.","sourceUpperUnchanged":true,"mirrorBearingEdges":"Original outer thick edges retained; inner edges are the solid residual boundary after tongue-space subtraction.","referenceBodyPosterior_y":30.5,"actualPostCutBodyDimensions_mm":[61.70000076293945,49.895769119262695,18.300000190734863],"lengthNote":"Reference length sizes the pre-cut envelope. Tongue-space subtraction removes the rearmost central material; measured remaining horseshoe arms are shorter."},"M":{"meshFile":"lower-tray-M-mesh.json","displayFile":"lower-tray-M-display.json","stlPath":"lower-tray-M.stl","bounds":[[-34.75,-36.98057556152344,-6.284395217895508],[34.75,37.77737808227539,13.015604972839355]],"extents_mm":[69.5,74.75795364379883,19.300000190734863],"watertight":true,"windingConsistent":true,"volume_mm3":19071.747686532308,"triangles":359318,"referenceBodyDimensions_mm":[69.5,58.5,19.3],"bodyAnteriorDatum_y":-20,"bodyPosterior_y":37.77737808227539,"tongueOpeningHalfWidth_mm":14.0,"tongueOpeningFront_y":-1,"method":"Nonuniform tray-body dimension adjustment with preserved neck blend, then full-height rounded tongue-space subtraction from supplied corresponding upper STL.","sourceUpperUnchanged":true,"mirrorBearingEdges":"Original outer thick edges retained; inner edges are the solid residual boundary after tongue-space subtraction.","referenceBodyPosterior_y":38.5,"actualPostCutBodyDimensions_mm":[69.5,57.77737808227539,19.300000190734863],"lengthNote":"Reference length sizes the pre-cut envelope. Tongue-space subtraction removes the rearmost central material; measured remaining horseshoe arms are shorter."},"L":{"meshFile":"lower-tray-L-mesh.json","displayFile":"lower-tray-L-display.json","stlPath":"lower-tray-L.stl","bounds":[[-39.95000076293945,-36.98043441772461,-6.284387588500977],[39.95000076293945,41.52116012573242,13.715612411499023]],"extents_mm":[79.9000015258789,78.50159454345703,20.0],"watertight":true,"windingConsistent":true,"volume_mm3":22192.575145986513,"triangles":380978,"referenceBodyDimensions_mm":[79.9,62.2,20.0],"bodyAnteriorDatum_y":-20,"bodyPosterior_y":41.52116012573242,"tongueOpeningHalfWidth_mm":16.0,"tongueOpeningFront_y":-1,"method":"Nonuniform tray-body dimension adjustment with preserved neck blend, then full-height rounded tongue-space subtraction from supplied corresponding upper STL.","sourceUpperUnchanged":true,"mirrorBearingEdges":"Original outer thick edges retained; inner edges are the solid residual boundary after tongue-space subtraction.","referenceBodyPosterior_y":42.2,"actualPostCutBodyDimensions_mm":[79.9000015258789,61.52116012573242,20.0],"lengthNote":"Reference length sizes the pre-cut envelope. Tongue-space subtraction removes the rearmost central material; measured remaining horseshoe arms are shorter."}}},"lowerReference":{"manufacturer":"COLTENE President","url":"https://products.coltene.com/DE/BA/media/DOC_BRO_9150-UK-06-13-PresImprTrays-EN_IND.pdf?sprache=EN","page":2,"date":"2013-06","dimensions":"A width / B front-to-back body length excluding handle / C body height","standardClaim":false},"privacy":"Target assets contain only anonymous geometry and measured color; original input names, paths, and PLY metadata omitted."},"preview":false,"sourceDownloads":[],"cadAssets":{"upper-tray-S":{"label":"Upper tray s base body","mesh":"data/compact/upper-tray-S.mesh.json"},"upper-tray-M":{"label":"Upper tray m base body","mesh":"data/compact/upper-tray-M.mesh.json"},"upper-tray-L":{"label":"Upper tray l base body","mesh":"data/compact/upper-tray-L.mesh.json"},"lower-tray-S":{"label":"Lower tray s base 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two cameras, two combined light heads, one shared driver strip and opaque wiring segments per layout. The tray contains mirrors and passive supports only.","Camera assembly reserves are 5 × 5 × 8 mm. Light-head reserves are 8 × 8 × 12 mm. The shared driver strip reserve is 12 × 40 × 4 mm. These are proposed assemblies, not qualified purchased systems.","Each camera uses a 4208 × 3120 ideal rectilinear surrogate with a 70° horizontal and 54.87° vertical field (fx 3004.8 px). Actual intrinsics and lens distortion have not been calibrated.","The structured source uses a point pupil and continuous rectangular cone of 109° horizontally and 95° vertically, based on the Himax TL25-W 940 nm fixed-dot projector. Virtual source coordinates encode the cone; they are not a physical pixel array.","Both source and camera routes are direct or use one finite reflection. The acute camera–source ray angle must be at least 10°. Full scan triangles, remaining housing, component and wire boxes, other mirrors and their backing surfaces obstruct routes.","White, 450 nm visible-blue fluorescence for caries and plaque/biofilm, and 850 nm class NIR flood are retained as separate module requirements. No UV channel is proposed. Their individual pupils, signals and diagnostic performance are not inferred from structured-source coverage.","MULTI-SHOT PRESCRIPTION. Every single-pose figure is ONE seated pose. The tray is captured over several rigid re-seatings and stitched; the stitched figures are in the coverage viewer and on the Specifications page, and cohort-study/README.md gives them for every arch of the search cohort. They are simulation under assumed priors, not measurement."],"method":["The original handle exterior and its two-camera, two-light packing are carried over unchanged from the earlier compact study. Only the tray mirror positions and orientations were searched again; the R24 6 × 6 mm prescription, the trays, the seat candidates, the devices and the mirror counts are those of the symmetric design these layouts replace.","The mirrors were searched against 7 patients’ arches at once (6 on the lower, where one arch is longer than the tray): the reference scan behind every earlier design and 6 further intraoral scans, each seated in the unchanged trays by a rule that reproduces the reference seats within 0.25 mm. A cap must clear every arch. Each candidate was traced at every shot of each arch's capture sequence, and a surface point counts at the best shot that reaches it.","Candidates were scored by a balanced objective: the sum over (arch, surface class) of log(C + 0.05), where C is the area-weighted value of that class on that arch and a triangulating pair is worth 0.3 + 0.7 × q_camera, with q = min(1, (target/pitch)^weight), target 0.15 mm per pixel and weight 2. The superseded search ranked min(q_camera, q_light), which the light head's raster reduced to the light leg alone. Mirrors are chosen as exact mirror-image pairs about x = 0, greedily and then by exchanging whole pairs while any exchange raised the objective. This is the best found bounded search, not proof of a global optical optimum.","Independent held-out tests on the reference arch use the same frozen sets as the earlier study: 8,000 upper samples (5,900 primary) with seed 20260920101 and 6,000 lower primary samples with seed 20260920102. Sampling is uniform by area.","The lower layout was searched and evaluated with an opaque tongue-and-plate proxy appended to the anatomy; the upper was not. Separate audits check complete body/wiring enclosure, intersections, remaining mirror seats, connected material, finite reflection paths, exported masks and intervals. Browser mesh decoding and STL generation are compared with the frozen physical files."],"limitations":["Geometric access is conditional on the stated lens and source assumptions. The actual fixed-dot pattern, short-range reflected contrast, correspondence, finite entrance pupils, focus, blur, radiometry and 940 nm camera/filter compatibility are not validated.","The gentle R24 caps trade single-pose reach for sampling. Single-pose access on the reference arch is 52.9% upper and 62.1% lower, with median camera sampling 0.073 and 0.071 mm per pixel, against 2.094 and 2.365 mm per pixel for the superseded 40-mirror defaults. Reported mm/pixel describes the best eligible camera path in the worst local tangent direction; it is not measured reconstruction error.","R24 depth of field is about ±2.2 mm against camera-to-mirror legs spanning 32–101 mm, so the design needs designed focal zones or focus bracketing across the shots. No workable (pose, focus) assignment has been demonstrated. This is the largest open item.","Merging shots assumes the motion between re-seatings is known to the precision of the rest of the budget. No registration or stitching error is modelled anywhere in these figures.","The optical layouts start with a 1.0 mm pre-port wall allocation and 0.35 mm body-cavity clearance. Ports can leave locally thin rims and walls. Downloaded physical audits report sampled post-port normal thickness, separated by declared optical-cut exits; they do not certify a global minimum wall or a manufacturable enclosure.","Cable reserves use overlapping opaque segments with declared terminal contacts. They account for ray blocking but do not prove individual cable packing, bend radius, strain relief, connector access, routed electronics or heat removal. A battery and extra processing need a further space budget.","This study is stationary within a pose. Results apply to the 7 supplied arches and their large-tray seats (6 on the lower: one lower arch is longer than the unchanged tray and does not fit it). Population fit, unscanned anatomy and clinical diagnostic performance remain unestablished."],"comparisons":["Single-pose held-out access on the reference arch is 52.88% upper and 62.10% lower over the bottom-and-side primary regions. The upper palate proxy reaches 43.87% in one pose. These are the figures the coverage viewer draws for one pose.","Mirrors are placed as exact mirror-image pairs about the midline, so every left mirror has a right twin at the reflected position and orientation, fed by the mirrored device. Across the 7-arch search cohort, with the capture sequences published before this change, the stitched share resolved at 0.150 mm per pixel rises from 75.6% to 89.0% on average for the upper (worst arch 60.6% to 76.0%) and from 73.7% to 76.0% for the lower, against the symmetric layouts searched on the reference arch alone.","The superseded 40-mirror defaults reached 99.58% and 99.87% in one pose. They did so with strongly convex mirrors whose median sampling was 2.094 and 2.365 mm per pixel — 29× and 33× coarser than these layouts, and too coarse for fine dental detail. The redesign trades single-pose reach for image sampling and recovers the reach with multiple shots.","Both defaults retain the supplied handle envelope, approximately 30.19 × 108.09 × 15.30 mm (width × length × height), with no added envelope volume.","No added passive seat reinforcement was required: the independent seat audit found tray material behind and beside every cap."],"curvatureComparisons":[],"requiredAudits":["compact-physical-validation.json","compact-result-validation.json","compact-cone-validation.json","compact-delivery-validation.json"]},"currentDefaultsOnly":true}