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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 3 — Mar. 1, 2013
  • pp: 437–447

Greedy reconstruction algorithm for fluorescence molecular tomography by means of truncated singular value decomposition conversion

Junwei Shi, Xu Cao, Fei Liu, Bin Zhang, Jianwen Luo, and Jing Bai  »View Author Affiliations

JOSA A, Vol. 30, Issue 3, pp. 437-447 (2013)

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Fluorescence molecular tomography (FMT) is a promising imaging modality that enables three-dimensional visualization of fluorescent targets in vivo in small animals. L2-norm regularization methods are usually used for severely ill-posed FMT problems. However, the smoothing effects caused by these methods result in continuous distribution that lacks high-frequency edge-type features and hence limits the resolution of FMT. In this paper, the sparsity in FMT reconstruction results is exploited via compressed sensing (CS). First, in order to ensure the feasibility of CS for the FMT inverse problem, truncated singular value decomposition (TSVD) conversion is implemented for the measurement matrix of the FMT problem. Then, as one kind of greedy algorithm, an ameliorated stagewise orthogonal matching pursuit with gradually shrunk thresholds and a specific halting condition is developed for the FMT inverse problem. To evaluate the proposed algorithm, we compared it with a TSVD method based on L2-norm regularization in numerical simulation and phantom experiments. The results show that the proposed algorithm can obtain higher spatial resolution and higher signal-to-noise ratio compared with the TSVD method.

© 2013 Optical Society of America

OCIS Codes
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.6280) Medical optics and biotechnology : Spectroscopy, fluorescence and luminescence
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: November 6, 2012
Revised Manuscript: January 23, 2013
Manuscript Accepted: January 28, 2013
Published: February 19, 2013

Virtual Issues
Vol. 8, Iss. 4 Virtual Journal for Biomedical Optics

Junwei Shi, Xu Cao, Fei Liu, Bin Zhang, Jianwen Luo, and Jing Bai, "Greedy reconstruction algorithm for fluorescence molecular tomography by means of truncated singular value decomposition conversion," J. Opt. Soc. Am. A 30, 437-447 (2013)

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