A finite difference solution to 2-dimensional radiative transfer equation for small-animal imaging

Meng Jin; Yuting Jiao; Feng Gao; Huijuan Zhao

doi:10.1117/12.840377

23 February 2010 A finite difference solution to 2-dimensional radiative transfer equation for small-animal imaging

Meng Jin, Yuting Jiao, Feng Gao, Huijuan Zhao

Proceedings Volume 7557, Multimodal Biomedical Imaging V; 75570S (2010) https://doi.org/10.1117/12.840377
Event: SPIE BiOS, 2010, San Francisco, California, United States

Abstract

Diffuse optical tomography (DOT) has been increasingly studied in the past decades. In DOT, the radiative transfer equation (RTE) and its P1 approximation, i.e. the diffuse equation (DE), have been used as the forward models. Since the DE-based DOT fails where biological tissue has a void-like region and when the source-detector separation is less than 5 mean free pathlengths, as in the situations of small animal imaging, the RTE-based DOT methodology has become a focus of investigation. Therefore, the complete formalism of the RTE is attracting more and more interest. It is clear that the quality of the reconstructed image depends strongly on the accuracy of the forward model. In this paper, A FDM was developed for solving two-dimensional RTE in a 2cm×2cm square homogeneous tissue with two groups of the optical properties and different schemes of the spatial and solid angle discretization. The results of the FDM are compared with the MC simulations. It is shown that when the step size of the spatial mesh becomes small, more discretized angle number is needed.

Citation Download Citation

Meng Jin, Yuting Jiao, Feng Gao, and Huijuan Zhao "A finite difference solution to 2-dimensional radiative transfer equation for small-animal imaging", Proc. SPIE 7557, Multimodal Biomedical Imaging V, 75570S (23 February 2010); https://doi.org/10.1117/12.840377

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