Noise-Robust One-Bit Diffraction Tomography and Optimal Dose Fractionation
Information Theory
2025-05-27 v3 math.IT
Data Analysis, Statistics and Probability
Abstract
This study presents a noise-robust framework for 1-bit diffraction tomography, a novel imaging approach that relies on intensity-only binary measurements obtained through coded apertures. The proposed reconstruction scheme leverages random matrix theory and iterative algorithms to effectively recover 3D object structures under high-noise conditions. A key contribution is the numerical investigation of dose fractionation, revealing optimal performance at a signal-to-noise ratio near 1, {\em independent of the total dose}. This finding addresses the question: How to distribute a given level of total radiation energy among different tomographic views in order to optimize the quality of reconstruction?
Cite
@article{arxiv.2310.05571,
title = {Noise-Robust One-Bit Diffraction Tomography and Optimal Dose Fractionation},
author = {Pengwen Chen and Albert Fannjiang},
journal= {arXiv preprint arXiv:2310.05571},
year = {2025}
}