ANISOTROPIC DIFFUSION BY QUADRATIC REGULARIZATION

Marcus Hund; Bärbel Mertsching

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Paper

ANISOTROPIC DIFFUSION BY QUADRATIC REGULARIZATION

Topics: Enhancement and Restoration; Image Filtering

In Proceedings of the Third International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, 101-107, 2008 , Funchal, Madeira, Portugal

Authors: Marcus Hund and Bärbel Mertsching

Affiliation: University of Paderborn, Germany

Keyword(s): Edge Preserving Smoothing, Noise Removal, Anisotropic Diffusion, Regularization.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Enhancement and Restoration ; Image Filtering ; Image Formation and Preprocessing

Abstract: Based on a regularization formulation of the problem, we present a novel approach to anisotropic diffusion that brings up a clear and easy-to-implement theory containing a problem formulation with existence and uniqueness of the solution. Unlike many iterative applications, we present a clear condition for the step size ensuring the convergence of the algorithm. The capability of our approach is demonstrated on a variety of well known test images.

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Paper citation in several formats:

Hund, M. and Mertsching, B. (2008). ANISOTROPIC DIFFUSION BY QUADRATIC REGULARIZATION. In Proceedings of the Third International Conference on Computer Vision Theory and Applications (VISIGRAPP 2008) - Volume 1: VISAPP; ISBN 978-989-8111-21-0; ISSN 2184-4321, SciTePress, pages 101-107. DOI: 10.5220/0001076901010107

@conference{visapp08,
author={Marcus Hund. and Bärbel Mertsching.},
title={ANISOTROPIC DIFFUSION BY QUADRATIC REGULARIZATION},
booktitle={Proceedings of the Third International Conference on Computer Vision Theory and Applications (VISIGRAPP 2008) - Volume 1: VISAPP},
year={2008},
pages={101-107},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001076901010107},
isbn={978-989-8111-21-0},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Third International Conference on Computer Vision Theory and Applications (VISIGRAPP 2008) - Volume 1: VISAPP
TI - ANISOTROPIC DIFFUSION BY QUADRATIC REGULARIZATION
SN - 978-989-8111-21-0
IS - 2184-4321
AU - Hund, M.
AU - Mertsching, B.
PY - 2008
SP - 101
EP - 107
DO - 10.5220/0001076901010107
PB - SciTePress