Inverse Problem for Color Doppler Ultrasound-Assisted Intracardiac Blood Flow Imaging

Table 1

Comparison of -norm errors for the velocity field recovered by the proposed reconstruction model and synthetic velocity field. The first and second columns represent normalized pointwise error of velocity and vorticity in , respectively. The third and fourth columns represent normalized -norm in global energy estimates of velocity and vorticity, respectively. Here, , , ,  , and . Note that the superscripts and denote the forward and reconstructed data, respectively.

0.05	16.7%	62.4%	0.4%	4.1%
0.15	11.8%	20.4%	0.2%	3.0%
0.25	18.7%	29.3%	2.9%	6.2%
0.35	15.9%	26.0%	3.1%	4.8%
0.45	16.8%	27.6%	0.3%	4.5%
0.55	20.9%	30.9%	1.4%	4.9%
0.65	26.8%	38.6%	2.0%	6.7%
0.75	29.9%	45.1%	5.0%	6.9%
0.85	32.2%	50.4%	0.4%	4.1%
0.95	32.2%	48.6%	0.4%	4.1%