Truncated Total Least Squares Method with a Practical Truncation Parameter Choice Scheme for Bioluminescence Tomography Inverse Problem
Joint Authors
Hou, Yanbin
Liang, Jimin
Tian, Jie
Qu, Xiaochao
He, Xiaowei
Huang, Heyu
Source
International Journal of Biomedical Imaging
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In bioluminescence tomography (BLT), reconstruction of internal bioluminescent source distribution from the surface optical signals is an ill-posed inverse problem.
In real BLT experiment, apart from the measurement noise, the system errors caused by geometry mismatch, numerical discretization, and optical modeling approximations are also inevitable, which may lead to large errors in the reconstruction results.
Most regularization techniques such as Tikhonov method only consider measurement noise, whereas the influences of system errors have not been investigated.
In this paper, the truncated total least squares method (TTLS) is introduced into BLT reconstruction, in which both system errors and measurement noise are taken into account.
Based on the modified generalized cross validation (MGCV) criterion and residual error minimization, a practical parameter-choice scheme referred to as improved GCV (IGCV) is proposed for TTLS.
Numerical simulations with different noise levels and physical experiments demonstrate the effectiveness and potential of TTLS combined with IGCV for solving the BLT inverse problem.
American Psychological Association (APA)
He, Xiaowei& Liang, Jimin& Qu, Xiaochao& Huang, Heyu& Hou, Yanbin& Tian, Jie. 2010. Truncated Total Least Squares Method with a Practical Truncation Parameter Choice Scheme for Bioluminescence Tomography Inverse Problem. International Journal of Biomedical Imaging،Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-460923
Modern Language Association (MLA)
He, Xiaowei…[et al.]. Truncated Total Least Squares Method with a Practical Truncation Parameter Choice Scheme for Bioluminescence Tomography Inverse Problem. International Journal of Biomedical Imaging No. 2010 (2010), pp.1-11.
https://search.emarefa.net/detail/BIM-460923
American Medical Association (AMA)
He, Xiaowei& Liang, Jimin& Qu, Xiaochao& Huang, Heyu& Hou, Yanbin& Tian, Jie. Truncated Total Least Squares Method with a Practical Truncation Parameter Choice Scheme for Bioluminescence Tomography Inverse Problem. International Journal of Biomedical Imaging. 2010. Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-460923
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460923