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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 19 — Jul. 1, 2012
  • pp: 4501–4512

Optics InfoBase > Applied Optics > Volume 51 > Issue 19 > Page 4501

Total variation regularization for bioluminescence tomography with the split Bregman method

Jinchao Feng, Chenghu Qin, Kebin Jia, Shouping Zhu, Kai Liu, Dong Han, Xin Yang, Quansheng Gao, and Jie Tian  »View Author Affiliations


Applied Optics, Vol. 51, Issue 19, pp. 4501-4512 (2012)
http://dx.doi.org/10.1364/AO.51.004501


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Abstract

Regularization methods have been broadly applied to bioluminescence tomography (BLT) to obtain stable solutions, including l2 and l1 regularizations. However, l2 regularization can oversmooth reconstructed images and l1 regularization may sparsify the source distribution, which degrades image quality. In this paper, the use of total variation (TV) regularization in BLT is investigated. Since a nonnegativity constraint can lead to improved image quality, the nonnegative constraint should be considered in BLT. However, TV regularization with a nonnegativity constraint is extremely difficult to solve due to its nondifferentiability and nonlinearity. The aim of this work is to validate the split Bregman method to minimize the TV regularization problem with a nonnegativity constraint for BLT. The performance of split Bregman-resolved TV (SBRTV) based BLT reconstruction algorithm was verified with numerical and in vivo experiments. Experimental results demonstrate that the SBRTV regularization can provide better regularization quality over l2 and l1 regularizations.

© 2012 Optical Society of America

OCIS Codes
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.6280) Medical optics and biotechnology : Spectroscopy, fluorescence and luminescence
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: July 28, 2011
Revised Manuscript: May 10, 2012
Manuscript Accepted: May 17, 2012
Published: June 29, 2012

Virtual Issues
Vol. 7, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Jinchao Feng, Chenghu Qin, Kebin Jia, Shouping Zhu, Kai Liu, Dong Han, Xin Yang, Quansheng Gao, and Jie Tian, "Total variation regularization for bioluminescence tomography with the split Bregman method," Appl. Opt. 51, 4501-4512 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-19-4501

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