English

Robustness of data-driven approaches in limited angle tomography

Numerical Analysis 2025-08-08 v3 Machine Learning Numerical Analysis

Abstract

The limited angle Radon transform is notoriously difficult to invert due to its ill-posedness. In this work, we give a mathematical explanation that data-driven approaches can stably reconstruct more information compared to traditional methods like filtered backprojection. In addition, we use experiments based on the U-Net neural network to validate our theory.

Keywords

Cite

@article{arxiv.2403.11350,
  title  = {Robustness of data-driven approaches in limited angle tomography},
  author = {Yiran Wang and Yimin Zhong},
  journal= {arXiv preprint arXiv:2403.11350},
  year   = {2025}
}
R2 v1 2026-06-28T15:23:30.447Z