Numerical Solution of the Tomography Problem in Domains with Obstacles

TL;DR

This paper introduces a numerical tomography method in domains with reflecting obstacles, demonstrating that including broken and unbroken rays improves reconstruction accuracy over classical methods.

Contribution

The paper presents a novel numerical approach that incorporates both broken and unbroken rays for better image reconstruction in domains with obstacles.

Findings

Including broken rays reduces reconstruction error.

The method outperforms classical tomography techniques.

Numerical experiments confirm improved accuracy.

Abstract

We study numerical methods of tomography in domains with a reflecting obstacle. It will be shown that tomography with sets containing both broken rays, i.e. rays reflecting at the obstacle, as well as unbroken rays, has a smaller error between the original and reconstructed image compared to classical tomography methods.