Research Article
Truncated Total Least Squares Method with a Practical Truncation Parameter Choice Scheme for Bioluminescence Tomography Inverse Problem
Table 2
Quantitative results in single source case.
| Sys. error | Meas. noise | Recon. method | Sys. error pattern | Regular. param. | RRE | Recons. power (nW) |
| Without errors | Without noises | Tik-GCV | N/A | 0.00946 | 0.0263 | 0.4284 | TTLS-M | N/A | 75 | 0.0243 | 0.4661 | TTLS-I | N/A | 78 | 0.0236 | 0.4797 | 10% | Tik-GCV | N/A | 0.01437 | 0.0585 | 0.4096 | TTLS-M | N/A | 69 | 0.0517 | 0.4535 | TTLS-I | N/A | 78 | 0.0419 | 0.5232 | 20% | Tik-GCV | N/A | 0.02266 | 0.1083 | 0.3825 | TTLS-M | N/A | 65 | 0.0809 | 0.4641 | TTLS-I | N/A | 69 | 0.0703 | 0.5214 |
| 1% | 10% | Tik-GCV | Gaus. | 0.01847 | 0.0596 | 0.3502 | Exp. | 0.02288 | 0.0705 | 0.3074 | TTLS-M | Gaus. | 64 | 0.0590 | 0.3982 | Exp. | 71 | 0.0562 | 0.3843 | TTLS-I | Gaus. | 78 | 0.0524 | 0.4389 | Exp. | 82 | 0.0557 | 0.4113 | 20% | Tik-GCV | Gaus. | 0.02844 | 0.1150 | 0.4295 | Exp. | 0.02281 | 0.0897 | 0.3432 | TTLS-M | Gaus. | 52 | 0.1142 | 0.4410 | Exp. | 73 | 0.0599 | 0.4755 | TTLS-I | Gaus. | 64 | 0.0915 | 0.5427 | Exp. | 87 | 0.0597 | 0.4829 |
| 5% | 10% | Tik-GCV | Gaus. | 0.03771 | 0.0850 | 0.3069 | Exp. | 0.05016 | 0.1023 | 0.2760 | TTLS-M | Gaus. | 65 | 0.0823 | 0.3498 | Exp. | 53 | 0.1018 | 0.2960 | TTLS-I | Gaus. | 94 | 0.0749 | 0.3553 | Exp. | 85 | 0.0978 | 0.2995 | 20% | Tik-GCV | Gaus. | 0.05414 | 0.1626 | 0.2722 | Exp. | 0.06586 | 0.1871 | 0.2618 | TTLS-M | Gaus. | 52 | 0.1536 | 0.3088 | Exp. | 45 | 0.1758 | 0.2927 | TTLS-I | Gaus. | 61 | 0.1444 | 0.3359 | Exp. | 109 | 0.1673 | 0.3044 |
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