{"artifact_id":"L1-511","layer":"L1","title":"PillCam-SPECTRA Optical-Property Recovery (analytical core)","domain":"Medical Imaging","sub_domain":"Capsule-endoscopic multispectral diffuse-reflectance optical-property recovery","physics_fingerprint":{"L_DAG":4.9,"title":"PillCam-SPECTRA Optical-Property Recovery (analytical core)","domain":"Medical Imaging","carrier":"photon","primitives":["L.optical_source","L.diffuse_reflectance","L.beer_lambert","L.detector_response","int.spatial","int.spectral"],"sub_domain":"Capsule-endoscopic multispectral diffuse-reflectance optical-property recovery","noise_model":"gaussian","problem_class":"linear_inverse","solution_space":"2D_chromophore_concentration","difficulty_delta":3,"integration_axis":"spectral_spatial","sensing_mechanism":"diffuse_reflectance_capsule"},"observable_profile":{"metric":"PSNR_dB","regime":"Existence of recovered chromophore concentrations is guaranteed within the declared Omega bounds. Uniqueness holds under multi-wavelength acquisition with N_wavelengths >= 5 (sufficient to resolve the typical chromophore basis); single-wavelength acquisition is non-unique (cannot decompose mu_a into chromophore components). Stability is well-conditioned (kappa_eff ~ 15) — capsule_to_mucosa_distance dominates absolute-concentration bias; mucosal_curvature contributes a geometric-correction factor; scattering_anisotropy_g uncertainty contributes a scaling factor of order ~10%. Joint Hadamard well-posedness for the diffuse-reflectance forward is established by Farrell-Patterson-Wilson 1992 (foundational), Wang-Jacques 1995 (MCML), Yudovsky-Pilon 2010 (multispectral inverse), Bjorgan-Milanic-Randeberg 2014 (hyperspectral classification), and Calin-Parasca-Savastru 2014 (medical hyperspectral).","secondary":"RMSE_per_chromophore"},"size_tiers":{"center_spec":{"omega":{"H":256,"W":256,"SNR_dB":26,"motion_blur":0.0,"N_wavelengths":8,"lambda_range_nm":[400,950],"mucosal_curvature":0.0,"working_distance_mm":2.0,"illumination_uniformity":0.0,"scattering_anisotropy_g":0.85,"capsule_orientation_drift":0.0,"capsule_to_mucosa_distance":0.0,"source_detector_distance_mm":5.0},"input_format":"multispectral_capsule_frame","problem_class":"pillcam_spectra_optical_recovery","forward_operator":"diffuse_reflectance_capsule_forward","epsilon_fn_center":"28.0"},"omega_bounds":{"H":[128,1024],"W":[128,1024],"SNR_dB":[10.0,38.0],"motion_blur":[0.0,0.3],"N_wavelengths":[3,16],"mucosal_curvature":[0.0,0.3],"working_distance_mm":[0.5,5.0],"illumination_uniformity":[0.0,0.4],"scattering_anisotropy_g":[0.7,0.95],"capsule_orientation_drift":[0.0,0.4],"capsule_to_mucosa_distance":[0.0,0.4],"source_detector_distance_mm":[3.0,12.0]},"epsilon_bounds":{"psnr_db":[10.0,45.0]},"allowed_problem_classes":["pillcam_spectra_optical_recovery","pillcam_spectra_chromophore_unmixing","pillcam_spectra_spatial_perfusion"],"allowed_omega_dimensions":["H","W","N_wavelengths","lambda_range_nm","source_detector_distance_mm","working_distance_mm","scattering_anisotropy_g","SNR_dB","capsule_to_mucosa_distance","mucosal_curvature","illumination_uniformity","motion_blur","capsule_orientation_drift"],"allowed_forward_operators":["diffuse_reflectance_capsule_forward","monte_carlo_capsule_forward","diffusion_approximation_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":80,"metric":"PSNR_dB"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x012312d456bc56bf1a0e52320db3a100003569313e9ae82eb93f91c0253d7b20","chain_tx_hash":"0x0f9a522bef3d15516c0a667ac47b1fa9269d5ae319486d8d0b207085a8c4855b","chain_block":41553360}