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arXiv · 2603.15535

Notes on the primal-dual algorithm for convex optimization applied to X-ray tomographic image reconstruction

Emil Y. Sidky·Xiaochuan Pan
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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]

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Emil Y. Sidky, Xiaochuan Pan. 2026-03-16. Notes on the primal-dual algorithm for convex optimization applied to X-ray tomographic image reconstruction. https://arxiv.org/abs/2603.15535

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