We propose a method which utilizes the radiative transfer equation in optical tomography. In this approach, the radiative transfer equation is used as light propagation model in those regions in which the assumptions of the diffusion theory are not valid and the diffusion approximation is used elsewhere. Both the radiative transfer equation and the diffusion approximation are numerically solved with a finite element method. In the finite element solution of the radiative transfer equation, both the spatial and angular discretizations are implemented in piecewise linear bases.
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