English

Information Theory: An X-ray Microscopy Perspective

Image and Video Processing 2026-02-10 v1 Information Theory math.IT Instrumentation and Detectors

Abstract

X-ray microscopy (XRM) is commonly used to obtain three-dimensional information on internal microstructure, but the imaging pipeline introduces noise, redundancy and information loss at multiple stages. This paper treats the XRM workflow as an information-processing system acting on a finite information budget. Using entropy, mutual information and Kullback-Leibler divergence, we quantify how acquisition, denoising, alignment, sparse-angle sampling, dose variation and reconstruction reshape the statistical structure of projection data and reconstructed volumes. Case studies based on the Walnut 1 dataset illustrate how these processes redistribute information and impose bottlenecks. We summarise the workflow using a unified information budget and show that mutual information provides a reconstruction-agnostic indicator of fidelity, supporting quantitative comparison and optimisation of XRM protocols, particularly under low-dose or time-constrained conditions

Keywords

Cite

@article{arxiv.2602.07168,
  title  = {Information Theory: An X-ray Microscopy Perspective},
  author = {Charles Wood},
  journal= {arXiv preprint arXiv:2602.07168},
  year   = {2026}
}
R2 v1 2026-07-01T10:25:24.605Z