Paper
29 June 2001 Application of photon average trajectory approach for diffuse tomography reconstruction of strongly scattering objects with complex macroinhomogeneities
Olga V. Kravtsenyuk, Vladimir V. Lyubimov, Alexander G. Murzin, Alexander G. Kalintsev, Olga V. Golubkina, Alexander B. Konovalov, Oleg V. Lyamtsev, Gennadiy B. Mordvinov, Peter L. Volegov, Lyudmila M. Yavorskaya
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Abstract
Simulation of tomography reconstruction of several absorbing macro-inhomogeneities in a strongly scattering cylindrical body was carried out not using any prior information on the structure of macro-inhomogeneities. The data of time-domain measurements were simulated using a diffusion equation solving by FEM. For the reconstruction procedure the method based on curvilinear photon average trajectories (PAT) was used. This method allows solving the inverse problem of optical tomography in terms of a set of linear equations with a sparse coefficient matrix. Special methods for sparse matrix processing permit to decrease sufficiently the computing time for image reconstruction. The comparison was carried out for the results of application of the several matrix solvers used in conventional CT (such as MART, NNLS, LSQR, and their combinations) to PAT method. In order to estimate the computing time and the quality of reconstruction, a comparison was carried out between the images restored using PAT method and using multi-iterative program MMTOAST10, which employs FEM solving of the diffusion equation. It was shown that the trajectory method, being much faster, gives the comparable quality of the restored images.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Olga V. Kravtsenyuk, Vladimir V. Lyubimov, Alexander G. Murzin, Alexander G. Kalintsev, Olga V. Golubkina, Alexander B. Konovalov, Oleg V. Lyamtsev, Gennadiy B. Mordvinov, Peter L. Volegov, and Lyudmila M. Yavorskaya "Application of photon average trajectory approach for diffuse tomography reconstruction of strongly scattering objects with complex macroinhomogeneities", Proc. SPIE 4250, Optical Tomography and Spectroscopy of Tissue IV, (29 June 2001); https://doi.org/10.1117/12.434479
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KEYWORDS
Acquisition tracking and pointing

Tomography

Image restoration

Reconstruction algorithms

Diffusion

Scattering

Optical tomography

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