## Reconstruction method with data from a multiple-site continuous-wave source for three-dimensional optical tomography

JOSA A, Vol. 23, Issue 10, pp. 2388-2395 (2006)

http://dx.doi.org/10.1364/JOSAA.23.002388

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### Abstract

A method is presented for reconstruction of the optical absorption coefficient from transmission near-infrared data with a cw source. As it is distinct from other available schemes such as optimization or Newton's iterative method, this method resolves the inverse problem by solving a boundary value problem for a Volterra-type integral-differential equation. It is demonstrated in numerical studies that this technique has a better than average stability with respect to the discrepancy between the initial guess and the actual unknown absorption coefficient. The method is particularly useful for reconstruction from a large data set obtained from a CCD camera. Several numerical reconstruction examples are presented.

© 2006 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: February 2, 2006

Manuscript Accepted: March 31, 2006

**Virtual Issues**

Vol. 1, Iss. 11 *Virtual Journal for Biomedical Optics*

**Citation**

Jianzhong Su, Hua Shan, Hanli Liu, and Michael V. Klibanov, "Reconstruction method with data from a multiple-site continuous-wave source for three-dimensional optical tomography," J. Opt. Soc. Am. A **23**, 2388-2395 (2006)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-23-10-2388

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