Joint Vector Flow Mapping and Segmentation: Ill-Posedness, Differentiable Bayesian Inference, and Synthetic Vortex-Flow Benchmarks
Vector flow mapping (VFM) reconstructs left-ventricular (LV) blood velocity from color-Doppler echocardiography by combining the measured beamwise component with physical and regularizing constraints. Analysis of the discrete VFM formulation shows that the inverse problem is intrinsically ill posed: the occurrence of s...