Linear Reconstruction Techniques Applied to Scattering Media

Abstract

The goal of reconstruction or tomographic techniques is to solve for material parameters from boundary information. Linear reconstruction techniques such as ART or SIRT are desirable because of their efficient performance. The derivation of these methods do not take into account scattering media, which is non-linear in nature. We present a summary of linear reconstruction techniques applied to scattering media. We also evaluate using photon distributions as a novel algebraic reconstruction technique matrix. We show the clear benefit of using the randomized reconstruction techniques with many passes over their non-randomized counterparts. We show a marginal improvement in all linear reconstruction techniques with a moderate amount of scattering. We also demonstrate the poor performance of the linear techniques with scattering media, even when using known photon distributions.