Abstract
This paper introduces a new analysis-based regularizer, which incorporates the neighborhood-awareness of the structure tensor total variation (STV) and the tunability of the directional total variation (DTV), in favor of a pre-selected direction with a pre-selected dose of penalization. In order to show the utility of the proposed regularizer, we consider the problem of denoising uni-directional images. Since the regularizer is convex, we develop a simple optimization algorithm by realizing its proximal map. The quantitative and the visual experiments demonstrate the superiority of our regularizer over DTV (only for scalar-valued images) and STV.
Original language | English |
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Title of host publication | Pattern Recognition and Image Analysis - 9th Iberian Conference, IbPRIA 2019, Proceedings |
Editors | Aythami Morales, Julian Fierrez, José Salvador Sánchez, Bernardete Ribeiro |
Publisher | Springer |
Pages | 89-100 |
Number of pages | 12 |
ISBN (Print) | 9783030313319 |
DOIs | |
Publication status | Published - 2019 |
Event | 9th Iberian Conference on Pattern Recognition and Image Analysis, IbPRIA 2019 - Madrid, Spain Duration: 1 Jul 2019 → 4 Jul 2019 |
Publication series
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 11867 LNCS |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference
Conference | 9th Iberian Conference on Pattern Recognition and Image Analysis, IbPRIA 2019 |
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Country/Territory | Spain |
City | Madrid |
Period | 1/07/19 → 4/07/19 |
Bibliographical note
Publisher Copyright:© 2019, Springer Nature Switzerland AG.
Keywords
- Convex optimization
- Directional total variation
- Image denoising
- Inverse problems
- Structure tensor
- Total variation