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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 3 — Mar. 1, 2009
  • pp: 456–472

Globally accelerated reconstruction algorithm for diffusion tomography with continuous-wave source in an arbitrary convex shape domain

Natee Pantong, Jianzhong Su, Hua Shan, Michael V. Klibanov, and Hanli Liu  »View Author Affiliations


JOSA A, Vol. 26, Issue 3, pp. 456-472 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000456


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Abstract

A new numerical imaging algorithm is presented for reconstruction of optical absorption coefficients from near-infrared light data with a continuous-wave source. As a continuation of our earlier efforts in developing a series of methods called “globally convergent reconstruction methods” [ J. Opt. Soc. Am. A 23, 2388 (2006) ], this numerical algorithm solves the inverse problem through solution of a boundary-value problem for a Volterra-type integral partial differential equation. We deal here with the particular issues in solving the inverse problems in an arbitrary convex shape domain. It is demonstrated in numerical studies that this reconstruction technique is highly efficient and stable with respect to the complex distribution of actual unknown absorption coefficients. The method is particularly useful for reconstruction from a large data set obtained from a tissue or organ of particular shape, such as the prostate. Numerical reconstructions of a simulated prostate-shaped phantom with three different settings of absorption-inclusions are presented.

© 2009 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(110.7050) Imaging systems : Turbid media
(170.3880) Medical optics and biotechnology : Medical and biological imaging

ToC Category:
Image Processing

History
Original Manuscript: July 22, 2008
Revised Manuscript: October 18, 2008
Manuscript Accepted: November 6, 2008
Published: February 4, 2009

Virtual Issues
Vol. 4, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Natee Pantong, Jianzhong Su, Hua Shan, Michael V. Klibanov, and Hanli Liu, "Globally accelerated reconstruction algorithm for diffusion tomography with continuous-wave source in an arbitrary convex shape domain," J. Opt. Soc. Am. A 26, 456-472 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-3-456

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