  We introduce a new method, (Doppler Velocity Reconstruction or DoVeR), for
reconstructing two-component velocity fields from color Doppler scans. DoVeR
employs the streamfunction-vorticity equation, which satisfies mass
conservation while accurately approximating the flow rate of rotation. We
validated DoVeR using artificial color Doppler images generated from
computational fluid dynamics models of left ventricle (LV) flow. We compare
DoVeR against the conventional intraventricular Vector Flow Mapping (iVFM1D)
and reformulated iVFM (iVFM2D). LV model error analysis showed DoVeR is more
robust to noise and probe placement, with noise RMS errors (nRMSE) between
3.81%-6.67%, while the iVFM methods delivered 4.16%-24.17% for iVFM1D and
4.06%-400.21% for iVFM2D. We test the DoVeR and iVFM methods using in-vivo
mouse-LV ultrasound scans. DoVeR yielded more hemodynamically accurate
reconstructions, suggesting that it can provide a more reliable approach for
robust quantification of cardiac flow.
