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Journal of Electronic Imaging

Application of transform algorithms to high-resolution image reconstruction in optical diffusion tomography of strongly scattering media
Author(s): Alexander B. Konovalov; Vladimir V. Lyubimov; Igor I. Kutuzov; Olga V. Kravtsenyuk; Alexander G. Murzin; Gennadiy B. Mordvinov; Leonid N. Soms; Lyudmila M. Yavorskaya
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Paper Abstract

The applicability of transform algorithms generally used in projection-computed tomography is substantiated for the case of medical optical diffusion tomography (ODT). To reconstruct tissue optical inhomogeneities, a new method based on a concept of an average statistical trajectory for transfer of light energy [photon average trajectory (PAT)] is proposed. By this method, the inverse problem of ODT is reduced to a solution of an integral equation with integration along a PAT. Within the internal zone of the object, well away from the boundaries, PATs tend to a straight line, and standard integral algorithms based on the inverse Radon transform may be used to restore diffuse optical images. To demonstrate the capabilities of the PAT method, a numerical experiment on cross sectional reconstruction of cylindrical strongly scattering objects with low-contrast absorbing inhomogeneities is conducted. To solve the time-domain ODT inverse problem, two filtered backprojection algorithms (of Radon and Vainberg) are used. The reconstruction results are compared with those obtained by a well-known software package for temporal optical absorption and scattering tomography, based on multiple solutions of a diffusion equation. It is shown that in important cases of low-contrast absorbing inhomogeneities, the PAT method using the Vainberg algorithm allows reconstruction of tissue optical inhomogeneities with a 20% gain in spatial resolution.

Paper Details

Date Published: 1 October 2003
PDF: 11 pages
J. Electron. Imaging. 12(4) doi: 10.1117/1.1604119
Published in: Journal of Electronic Imaging Volume 12, Issue 4
Show Author Affiliations
Alexander B. Konovalov, Russian Federal Nuclear Ctr. (Russia)
Vladimir V. Lyubimov, Russian Institute for Laser Physics (Russia)
Igor I. Kutuzov, Russian Federal Nuclear Ctr. (Russia)
Olga V. Kravtsenyuk, Institute of Laser Physics (Russia)
Alexander G. Murzin, Russian Institute for Laser Physics (Russia)
Gennadiy B. Mordvinov, Russian Federal Nuclear Ctr. (Russia)
Leonid N. Soms, Russian Institute for Laser Physics (Russia)
Lyudmila M. Yavorskaya, Russian Federal Nuclear Ctr. (Russia)

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