MultiResolution Low-Rank Regularization of Dynamic Imaging Problems

Fuente: arXiv
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Autore principale: Heikkilä, Tommi
Natura: Preprint
Pubblicazione: 2025
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author Heikkilä, Tommi
author_facet Heikkilä, Tommi
contents MultiResolution Low-Rank decomposition is formulated for regularization of dynamic image sequences. The decomposition applies a local low-rank decomposition on a sequence of discrete wavelet transforms. Its effective formulation as a regularization functional is discussed and numerically tested for dynamic X-ray tomography in comparison to other low-rank methods. The results suggest it is similar to traditional locally low-rank decomposition but produces less severe block artifacts.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20977
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle MultiResolution Low-Rank Regularization of Dynamic Imaging Problems
Heikkilä, Tommi
Numerical Analysis
15A29, 65F55, 65T60, 65F22
MultiResolution Low-Rank decomposition is formulated for regularization of dynamic image sequences. The decomposition applies a local low-rank decomposition on a sequence of discrete wavelet transforms. Its effective formulation as a regularization functional is discussed and numerically tested for dynamic X-ray tomography in comparison to other low-rank methods. The results suggest it is similar to traditional locally low-rank decomposition but produces less severe block artifacts.
title MultiResolution Low-Rank Regularization of Dynamic Imaging Problems
topic Numerical Analysis
15A29, 65F55, 65T60, 65F22
url https://arxiv.org/abs/2502.20977