Application of transform algorithms to high-resolution image reconstruction in optical diffusion tomography of strongly scattering media

Autor: Konovalov, Alexander B., Lyubimov, Vladimir V., Kutuzov, Igor I., Kravtsenyuk, Olga V., Murzin, Alexander G., Mordvinov, Gennadiy B., Soms, Leonid N., Yavorskaya, Luydmila M.
Zdroj: Journal of Electronic Imaging; October 2003, Vol. 12 Issue: 4 p602-612, 11p
Abstrakt: 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. © 2003 SPIE and IS&T.
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