{"artifact_id":"L1-159","layer":"L1","title":"US-MRI Fusion (biopsy guidance / cardiac)","domain":"Multimodal Fusion","sub_domain":"Real-time US co-registered to pre-acquired MRI volume","physics_fingerprint":{"L_DAG":4.0,"title":"US-MRI Fusion (biopsy guidance / cardiac)","domain":"Multimodal Fusion","carrier":"acoustic","primitives":["L.mri_volume","L.live_ultrasound","L.real_time_registration","int.temporal"],"sub_domain":"Real-time US co-registered to pre-acquired MRI volume","noise_model":"gaussian","problem_class":"nonlinear_inverse","solution_space":"2D_plus_3D_fused_real_time","difficulty_delta":5,"integration_axis":"temporal","sensing_mechanism":"us_mri_fusion"},"observable_profile":{"metric":"PSNR_dB","regime":"Existence of the recovered 2D plus 3D fused real time is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 18); real_time_registration_error dominates the stability cliff; non_rigid_tissue and the remaining mismatch parameters contribute higher-order bias terms. Additive gaussian thermal/electronic noise sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega.","secondary":"SSIM"},"size_tiers":{"center_spec":{"omega":{"fps":10,"H_us":512,"W_us":512,"H_mri":256,"W_mri":256,"Z_mri":128,"SNR_dB":22,"patient_motion":0.0,"non_rigid_tissue":0.0,"acoustic_shadowing":0.0,"real_time_registration_error":0.0},"input_format":"measurement_only","problem_class":"us_mri_fusion","forward_operator":"us_mri_fusion_forward","epsilon_fn_center":"20.0"},"omega_bounds":{"fps":[1,60],"H_us":[128,2048],"W_us":[128,2048],"Z_mri":[32,512],"SNR_dB":[0.0,35.0],"patient_motion":[0.0,0.5],"non_rigid_tissue":[0.0,0.5],"acoustic_shadowing":[0.0,0.5],"real_time_registration_error":[0.0,5.0]},"epsilon_bounds":{"psnr_db":[5.0,40.0]},"allowed_problem_classes":["us_mri_fusion"],"allowed_omega_dimensions":["H_us","W_us","H_mri","W_mri","Z_mri","fps","real_time_registration_error","non_rigid_tissue","patient_motion","acoustic_shadowing","SNR_dB","real_time_registration_error","non_rigid_tissue","patient_motion","acoustic_shadowing"],"allowed_forward_operators":["us_mri_fusion_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":360,"metric":"PSNR_dB"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x2e58505b64f99b4de4b1f714ccbefce8543fc9795cc4a6fa62122b31a3d98f7f","chain_tx_hash":"0x128cfe3e541d1d27fe7e311ff7b8cb5992536765c6706a20d166d2bdc30b1743","chain_block":41554242}