## Optical diffusion tomography by iterative-coordinate-descent optimization in a Bayesian framework

JOSA A, Vol. 16, Issue 10, pp. 2400-2412 (1999)

http://dx.doi.org/10.1364/JOSAA.16.002400

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### Abstract

Frequency-domain diffusion imaging uses the magnitude and phase of modulated light propagating through a highly scattering medium to reconstruct an image of the spatially dependent scattering or absorption coefficients in the medium. An inversion algorithm is formulated in a Bayesian framework and an efficient optimization technique is presented for calculating the maximum *a posteriori* image. In this framework the data are modeled as a complex Gaussian random vector with shot-noise statistics, and the unknown image is modeled as a generalized Gaussian Markov random field. The shot-noise statistics provide correct weighting for the measurement, and the generalized Gaussian Markov random field prior enhances the reconstruction quality and retains edges in the reconstruction. A localized relaxation algorithm, the iterative-coordinate-descent algorithm, is employed as a computationally efficient optimization technique. Numerical results for two-dimensional images show that the Bayesian framework with the new optimization scheme outperforms conventional approaches in both speed and reconstruction quality.

© 1999 Optical Society of America

**OCIS Codes**

(100.3010) Image processing : Image reconstruction techniques

(100.3190) Image processing : Inverse problems

(100.6950) Image processing : Tomographic image processing

(170.3010) Medical optics and biotechnology : Image reconstruction techniques

(290.3200) Scattering : Inverse scattering

**History**

Original Manuscript: January 4, 1999

Manuscript Accepted: March 31, 1999

Published: October 1, 1999

**Citation**

Jong Chul Ye, Kevin J. Webb, Charles A. Bouman, and R. P. Millane, "Optical diffusion tomography by iterative-coordinate-descent optimization in a Bayesian framework," J. Opt. Soc. Am. A **16**, 2400-2412 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-10-2400

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