Notes on the primal-dual algorithm for convex optimization applied to X-ray tomographic image reconstruction
Optimization and Control
2026-03-17 v1 Medical Physics
Abstract
The purpose of these notes is to provide background on understanding the primal-dual algorithm of Chambolle and Pock [1] for imaging scientists. The presentation focuses on providing intuition and an algorithmic system that is amenable to pre-conditioning. The document aims to be self-contained, providing background on the essential facts of non-smooth convex analysis.[2]
Cite
@article{arxiv.2603.15535,
title = {Notes on the primal-dual algorithm for convex optimization applied to X-ray tomographic image reconstruction},
author = {Emil Y. Sidky and Xiaochuan Pan},
journal= {arXiv preprint arXiv:2603.15535},
year = {2026}
}
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