Numerical algorithms of the radiative transport equation using rotated reference frames for optical tomography with structured illumination

TL;DR

This paper develops numerical algorithms for solving the three-dimensional radiative transport equation in optical tomography with structured illumination, employing rotated reference frames and the finite difference method to improve accuracy beyond diffusion approximation.

Contribution

It introduces a novel combination of rotated reference frames and finite difference methods for accurate 3D radiative transport modeling in optical tomography.

Findings

Enhanced modeling accuracy without diffusion approximation

Implementation of rotated reference frames in 3D optical tomography

Potential for improved image reconstruction quality

Abstract

We consider optical tomography with structured illumination in spatial-frequency domain using the three-dimensional radiative transport equation. Without the diffusion approximation, the radiative transport equation is solved by the technique of rotated reference frames. In addition to the method of rotated reference frames (spherical-harmonic expansion), the three dimensional FN method is applied to this optical tomography.