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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 16 — Jun. 1, 2010
  • pp: 3111–3126

Combined domain-decomposition and matrix-decomposition scheme for large-scale diffuse optical tomography

Fang Yang, Feng Gao, Pingqiao Ruan, and Huijuan Zhao  »View Author Affiliations


Applied Optics, Vol. 49, Issue 16, pp. 3111-3126 (2010)
http://dx.doi.org/10.1364/AO.49.003111


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Abstract

Image reconstruction in diffuse optical tomography (DOT) is, in general, posed as a model-based, nonlinear optimization problem, which requires repeated use of the three-dimensional (3D) forward and inverse solvers. To cope with the computation and storage problem for some applications, such as breast tumor diagnosis, it is preferable to develop a subdomain-based parallel computation scheme. In this study, we propose a two-level image reconstruction scheme for 3D DOT, which combines the Schwarz-type domain-decomposition (DD)-based forward calculation and the matrix-decomposition (MD)-based inversion. In the forward calculation, the solution to the diffusion equation is initially obtained using a whole-domain finite difference method at a coarse grid, and then updated with a parallel DD scheme at a fine grid. The inversion procedure starts with the wavelet-decomposition-based reconstruction at a coarse grid, and then follows with a Levenberg–Marquardt least-squares solution at a fine grid, where an MD strategy is adopted for the relevant linear inversion. It is demonstrated that the combination of the DD-based forward solver and MD-based inversion allows for coarse-grain parallel implementation of both the forward and inverse issues and effectively reduces computation and storage loads for the large-scale problem. Also, both numerical simulations and phantom experiments show that MD-based linear inversion is superior to the row-fashioned algebraic reconstruction technique.

© 2010 Optical Society of America

OCIS Codes
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3830) Medical optics and biotechnology : Mammography
(170.3880) Medical optics and biotechnology : Medical and biological imaging

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: December 1, 2009
Revised Manuscript: April 14, 2010
Manuscript Accepted: April 23, 2010
Published: May 28, 2010

Virtual Issues
Vol. 5, Iss. 10 Virtual Journal for Biomedical Optics

Citation
Fang Yang, Feng Gao, Pingqiao Ruan, and Huijuan Zhao, "Combined domain-decomposition and matrix-decomposition scheme for large-scale diffuse optical tomography," Appl. Opt. 49, 3111-3126 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-16-3111

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