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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 7 — Mar. 1, 2012
  • pp: 975–986

Multilevel, hybrid regularization method for reconstruction of fluorescent molecular tomography

Huangjian Yi, Duofang Chen, Xiaochao Qu, Kuan Peng, Xueli Chen, Yuanyuan Zhou, Jie Tian, and Jimin Liang  »View Author Affiliations


Applied Optics, Vol. 51, Issue 7, pp. 975-986 (2012)
http://dx.doi.org/10.1364/AO.51.000975


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Abstract

In this paper, a multilevel, hybrid regularization method is presented for fluorescent molecular tomography (FMT) based on the hp-finite element method (hp-FEM) with a continuous wave. The hybrid regularization method combines sparsity regularization and Landweber iterative regularization to improve the stability of the solution of the ill-posed inverse problem. In the first coarse mesh level, considering the fact that the fluorescent probes are sparsely distributed in the entire reconstruction region in most FMT applications, the sparse regularization method is employed to take full advantage of this sparsity. In the subsequent refined mesh levels, since the reconstruction region is reduced and the initial value of the unknown parameters is provided from the previous mesh, these mesh levels seem to be different from the first level. As a result, the Landweber iterative regularization method is applied for reconstruction. Simulation experiments on a 3D digital mouse atlas and physical experiments on a phantom are conducted to evaluate the performance of our method. The reconstructed results show the potential and feasibility of the proposed approach.

© 2012 Optical Society of America

OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(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:
Image Processing

History
Original Manuscript: September 1, 2011
Revised Manuscript: November 16, 2011
Manuscript Accepted: November 19, 2011
Published: March 1, 2012

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

Citation
Huangjian Yi, Duofang Chen, Xiaochao Qu, Kuan Peng, Xueli Chen, Yuanyuan Zhou, Jie Tian, and Jimin Liang, "Multilevel, hybrid regularization method for reconstruction of fluorescent molecular tomography," Appl. Opt. 51, 975-986 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-7-975

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