Research on high-order approximation of radiative transfer equation for image reconstruction

Wenjuan Ma; Feng Gao; Linhui Wu; Xi Yi; Pingping Zhu; Huijuan Zhao

doi:10.1117/12.873489

10 February 2011 Research on high-order approximation of radiative transfer equation for image reconstruction

Wenjuan Ma, Feng Gao, Linhui Wu, Xi Yi, Pingping Zhu, Huijuan Zhao

Proceedings Volume 7892, Multimodal Biomedical Imaging VI; 78920S (2011) https://doi.org/10.1117/12.873489
Event: SPIE BiOS, 2011, San Francisco, California, United States

Abstract

In this article, we derive the two-dimensional spherical harmonics equations to three-order (P₃) of Radiative Transfer Equation for anisotropic scattering. We also solved this equations using Galerkin finite element method and compared the solutions with the first-order diffusion equation and Monte Carlo simulation. the benchmark problems are tested, and we found that the developed three-order model with high absorb coefficient is able to significantly improve the diffusion solution in circle geometry, and the radiance distribution close to light source is more accurate. It is significant for accurate modeling of light propagation in small tissue geometries in small animal imaging. Then, the inverse model for the simultaneous reconstruction of the absorption images is proposed based on P3 equations, and the feasibility and effectiveness of this method are proved by the simulation.

Citation Download Citation

Wenjuan Ma, Feng Gao, Linhui Wu, Xi Yi, Pingping Zhu, and Huijuan Zhao "Research on high-order approximation of radiative transfer equation for image reconstruction", Proc. SPIE 7892, Multimodal Biomedical Imaging VI, 78920S (10 February 2011); https://doi.org/10.1117/12.873489

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