Table 1 The normalized errors and runtimes of the DBIM and DCS-DBIM methods through iterations with different N t and N r
From: Deterministic compressive sampling for high-quality image reconstruction of ultrasound tomography
Number of Transmitters (N t ) and Receivers (N r ) | Methods | Normalized error from the first iteration to the eighth iteration | Runtime (seconds) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
N t  = N r  = 6 | DBIM | 0.8682 | 0.8438 | NaN | NaN | NaN | NaN | NaN | NaN | 69.692787 |
(r = 0.082) | DCS-DBIM | 1.2077 | 1.2102 | 1.2105 | 1.2105 | 1.2105 | 1.2105 | 1.2105 | 1.2105 | 42.139530 |
N t  = N r  = 8 | DBIM | 0.7964 | 0.7515 | 0.7490 | 0.7489 | 0.7489 | NaN | NaN | NaN | 61.308944 |
(r = 0.145) | DCS-DBIM | 1.1587 | 1.1718 | 1.1721 | 1.1721 | 1.1721 | 1.1721 | 1.1721 | 1.1721 | 47.157182 |
N t  = N r  = 10 | DBIM | 0.7305 | 0.6811 | 0.6779 | 0.6772 | 0.6771 | 0.6770 | 0.6770 | 0.6770 | 40.428921 |
(r = 0.227) | DCS-DBIM | 1.1123 | 1.1224 | 1.1226 | 1.1226 | 1.1226 | 1.1226 | 1.1226 | 1.1226 | 53.017146 |
N t  = N r  = 12 | DBIM | 0.6808 | 0.6140 | 0.6083 | 0.6073 | 0.6070 | 0.6069 | 0.6069 | 0.6069 | 48.419012 |
(r = 0.327) | DCS-DBIM | 0.8834 | 0.8945 | 0.8950 | 0.8950 | 0.8950 | 0.8950 | 0.8950 | 0.8950 | 63.057426 |
N t  = N r  = 14 | DBIM | 0.9367 | 0.6457 | 0.5824 | 0.5547 | 0.5398 | 0.5308 | 0.5254 | 0.5218 | 55.754608 |
(r = 0.444) | DCS-DBIM | 0.7025 | 0.7084 | 0.7085 | 0.7085 | 0.7085 | 0.7085 | 0.7085 | 0.7085 | 90.422976 |
N t  = N r  = 16 | DBIM | 0.5272 | 0.4629 | 0.4585 | 0.4576 | 0.4572 | 0.4570 | 0.4570 | 0.4570 | 66.137258 |
(r = 0.581) | DCS-DBIM | 0.1604 | 0.1078 | 0.1082 | 0.1082 | 0.1082 | 0.1082 | 0.1082 | 0.1082 | 185.779095 |
N t  = N r  = 18 | DBIM | 0.8196 | 0.5734 | 0.4919 | 0.4480 | 0.4176 | 0.3948 | 0.3773 | 0.3632 | 77.524221 |
(r = 0.735) | DCS-DBIM | 0.1240 | 0.0342 | 0.0338 | 0.0337 | 0.0337 | 0.0337 | 0.0337 | 0.0337 | 251.473327 |
N t  = N r  = 20 | DBIM | 0.4749 | 0.2760 | 0.2356 | 0.2225 | 0.2158 | 0.2115 | 0.2086 | 0.2066 | 94.343578 |
(r = 0.907) | DCS-DBIM | 0.2243 | 0.0689 | 0.0672 | 0.0670 | 0.0670 | 0.0669 | 0.0668 | 0.0668 | 237.118941 |
N t  = N r  = 22 | DBIM | 0.4604 | 0.2106 | 0.1598 | 0.1353 | 0.1209 | 0.1110 | 0.1036 | 0.0973 | 112.128716 |
(r = 1.098) | DCS-DBIM | 0.3255 | 0.0777 | 0.0729 | 0.0724 | 0.0723 | 0.0721 | 0.0719 | 0.0718 | 234.584982 |
N t  = N r  = 24 | DBIM | 0.5754 | 0.2832 | 0.1321 | 0.0942 | 0.0725 | 0.0641 | 0.0534 | 0.0632 | 125.724742 |
(r = 1.306) | DCS-DBIM | 0.3870 | 0.0310 | 0.0197 | 0.0192 | 0.0190 | 0.0188 | 0.0186 | 0.0184 | 225.159681 |
N t  = N r  = 26 | DBIM | 0.5545 | 0.1933 | 0.1141 | 0.0846 | 0.0685 | 0.0585 | 0.0516 | 0.0464 | 144.661175 |
(r = 1.533) | DCS-DBIM | 0.1768 | 0.0129 | 0.0066 | 0.0064 | 0.0064 | 0.0064 | 0.0064 | 0.0064 | 201.250795 |
N t  = N r  = 28 | DBIM | 0.4905 | 0.1680 | 0.0858 | 0.0570 | 0.0417 | 0.0329 | 0.0271 | 0.0229 | 170.032561 |
(r = 1.778) | DCS-DBIM | 0.1338 | 0.0080 | 0.0031 | 0.0030 | 0.0029 | 0.0029 | 0.0029 | 0.0029 | 238.488285 |
N t  = N r  = 30 | DBIM | 0.5971 | 0.3079 | 0.2179 | 0.1602 | 0.1215 | 0.0948 | 0.0764 | 0.0633 | 212.923908 |
(r = 2.041) | DCS-DBIM | 0.1466 | 0.0062 | 0.0022 | 0.0022 | 0.0022 | 0.0022 | 0.0022 | 0.0022 | 263.288455 |