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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 7 — Mar. 29, 2010
  • pp: 6477–6491

A trust region method in adaptive finite element framework for bioluminescence tomography

Bo Zhang, Xin Yang, Chenghu Qin, Dan Liu, Shouping Zhu, Jinchao Feng, Li Sun, Kai Liu, Dong Han, Xibo Ma, Xing Zhang, Jianghong Zhong, Xiuli Li, Xiang Yang, and Jie Tian  »View Author Affiliations


Optics Express, Vol. 18, Issue 7, pp. 6477-6491 (2010)
http://dx.doi.org/10.1364/OE.18.006477


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Abstract

Bioluminescence tomography (BLT) is an effective molecular imaging (MI) modality. Because of the ill-posedness, the inverse problem of BLT is still open. We present a trust region method (TRM) for BLT source reconstruction. The TRM is applied in the source reconstruction procedure of BLT for the first time. The results of both numerical simulations and the experiments of cube phantom and nude mouse draw us to the conclusion that based on the adaptive finite element (AFE) framework, the TRM works in the source reconstruction procedure of BLT. To make our conclusion more reliable, we also compare the performance of the TRM and that of the famous Tikhonov regularization method after only one step of mesh refinement of the AFE framework. The conclusion is that the TRM can get faster and better results after only one mesh refinement step of AFE framework than the Tikhonov regularization method when handling large scale data. In the TRM, all the parameters are fixed, while in the Tikhonov method the regularization parameter needs to be well selected.

© 2010 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(170.6280) Medical optics and biotechnology : Spectroscopy, fluorescence and luminescence
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Image Processing

History
Original Manuscript: January 7, 2010
Revised Manuscript: February 11, 2010
Manuscript Accepted: March 11, 2010
Published: March 15, 2010

Virtual Issues
Vol. 5, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Bo Zhang, Xin Yang, Chenghu Qin, Dan Liu, Shouping Zhu, Jinchao Feng, Li Sun, Kai Liu, Dong Han, Xibo Ma, Xing Zhang, Jianghong Zhong, Xiuli Li, Xiang Yang, and Jie Tian, "A trust region method in adaptive finite element framework for bioluminescence tomography," Opt. Express 18, 6477-6491 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-7-6477


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