Guan Xu, Daqing Piao, Charles F. Bunting, and Hamid Dehghani, "Direct-current-based image reconstruction versus direct-current included or excluded frequency-domain reconstruction in diffuse optical tomography," Appl. Opt. 49, 3059-3070 (2010)
We study the level of image artifacts in optical tomography associated with measurement uncertainty under three reconstruction configurations, namely, by using only direct-current (DC), DC-excluded frequency-domain, and DC-included frequency-domain data. Analytic and synthetic studies demonstrate that, at the same level of measurement uncertainty typical to optical tomography, the ratio of the standard deviation of over reconstructed by DC only is at least 1.4 times lower than that by frequency-domain methods. The ratio of standard deviations of D (or ) over D (or ) reconstructed by DC only are slightly lower than those by frequency-domain methods. Frequency-domain reconstruction including DC generally outperforms that excluding DC, but as the amount of measurements increases, the difference between the two diminishes. Under the condition of a priori structural information, the performances of three reconstruction configurations are seemingly equivalent.
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
Mean Value and Standard Deviation Reconstructed for Homogeneous Medium
Abs.
Norm.
Abs.
Norm.
Abs.
Norm.
DC
0.01
1
1.00
1
0.33
1
0.01
4.50
1.00
1.47
0.33
1.45
0.01
4.29
1.00
1.64
0.33
1.60
“Abs.” denotes the absolute value of the standard deviation. “Norm.” denotes the standard deviation normalized with respect to the standard deviation of DC. The same notations apply to Tables 6, 8.
Table 6
Standard Deviation of Background Optical Properties in Fig. 3
Abs.
Norm.
Abs.
Norm.
Abs.
Norm.
DC
1
1
1
1.89
1.17
1.24
1.79
1.01
1.07
Table 7
Comparison of the Accuracy of Recovered Optical Properties in Fig. 3
Value
Error
Value
Error
Value
Error
Set
0.025
1
0.325
DC
0.0125
1.398
39.84%
0.236
0.0146
1.293
29.27%
0.255
0.0149
1.201
20.06%
0.274
Value
Error
Value
Error
Value
Error
Set
0.01
1.75
1.75
DC
0.0114
13.68%
1.238
1.639
0.0107
6.95%
1.250
1.619
0.0104
3.81%
1.375
1.635
Value
Error
Value
Error
Value
Error
Set
0.025
1.75
0.188
DC
0.0141
1.639
0.2012
7.37%
0.0139
1.619
0.204
8.70%
0.0137
1.635
0.202
7.64%
Table 8
Standard Deviation of Background Optical Properties in Fig. 4
Abs.
Norm.
Abs.
Norm.
Abs.
Norm.
DC
1
1
1
1.80
1.09
1.15
1.75
1.06
1.12
Table 9
Comparison of the Accuracy of Recovered Optical Properties in Fig. 4
Value
Error
Value
Error
Value
Error
Set
0.025
1
0.325
DC
0.0133
1.528
52.81%
0.216
0.0169
1.288
28.77%
0.256
0.0171
1.292
29.21%
0.255
Value
Error
Value
Error
Value
Error
Set
0.01
1.75
0.189
DC
0.0117
16.95%
1.319
0.251
32.26%
0.0104
3.73%
1.427
0.232
22.46%
0.0103
3.09%
1.441
0.230
21.31%
Value
Error
Value
Error
Value
Error
Set
0.025
1.75
0.188
DC
0.0156
1.847
5.57%
0.178
0.0163
1.731
0.191
1.61%
0.0163
1.726
0.191
1.88%
Tables (9)
Table 1
Comparison of the Analytic Derivations in This Work with That in [29]
Mean Value and Standard Deviation Reconstructed for Homogeneous Medium
Abs.
Norm.
Abs.
Norm.
Abs.
Norm.
DC
0.01
1
1.00
1
0.33
1
0.01
4.50
1.00
1.47
0.33
1.45
0.01
4.29
1.00
1.64
0.33
1.60
“Abs.” denotes the absolute value of the standard deviation. “Norm.” denotes the standard deviation normalized with respect to the standard deviation of DC. The same notations apply to Tables 6, 8.
Table 6
Standard Deviation of Background Optical Properties in Fig. 3
Abs.
Norm.
Abs.
Norm.
Abs.
Norm.
DC
1
1
1
1.89
1.17
1.24
1.79
1.01
1.07
Table 7
Comparison of the Accuracy of Recovered Optical Properties in Fig. 3
Value
Error
Value
Error
Value
Error
Set
0.025
1
0.325
DC
0.0125
1.398
39.84%
0.236
0.0146
1.293
29.27%
0.255
0.0149
1.201
20.06%
0.274
Value
Error
Value
Error
Value
Error
Set
0.01
1.75
1.75
DC
0.0114
13.68%
1.238
1.639
0.0107
6.95%
1.250
1.619
0.0104
3.81%
1.375
1.635
Value
Error
Value
Error
Value
Error
Set
0.025
1.75
0.188
DC
0.0141
1.639
0.2012
7.37%
0.0139
1.619
0.204
8.70%
0.0137
1.635
0.202
7.64%
Table 8
Standard Deviation of Background Optical Properties in Fig. 4
Abs.
Norm.
Abs.
Norm.
Abs.
Norm.
DC
1
1
1
1.80
1.09
1.15
1.75
1.06
1.12
Table 9
Comparison of the Accuracy of Recovered Optical Properties in Fig. 4