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Authors: Qiyu Jin ; Ion Grama and Quansheng Liu

Affiliation: Université de Bretagne-Sud and Université Européenne de Bretagne, France

Keyword(s): Non-local Means, Image Denoising, Optimization of Weights, Oracle, Statistical Estimation.

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

Abstract: We propose a new algorithm to restore an image contaminated by the Gaussian white noise. Our approach is based on the weighted average of the observations in a neighborhood as in the case of the Non-Local Means Filter. But in contrast to the Non-Local Means Filter, we choose the weights by minimizing a tight upper bound of the Mean Square Error. Our theoretical results show that some ”oracle” weights defined by a triangular kernel are optimal. To construct a computable filter the ”oracle” weights are replaced by some estimates. The implementation of the proposed algorithm is straightforward. The simulations show that our approach is very competitive.

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Paper citation in several formats:
Jin, Q.; Grama, I. and Liu, Q. (2012). A NEW APPROACH FOR DENOISING IMAGES BASED ON WEIGHTS OPTIMIZATION. In Proceedings of the International Conference on Computer Vision Theory and Applications (VISIGRAPP 2012) - Volume 2: VISAPP; ISBN 978-989-8565-03-7; ISSN 2184-4321, SciTePress, pages 112-117. DOI: 10.5220/0003846001120117

@conference{visapp12,
author={Qiyu Jin. and Ion Grama. and Quansheng Liu.},
title={A NEW APPROACH FOR DENOISING IMAGES BASED ON WEIGHTS OPTIMIZATION},
booktitle={Proceedings of the International Conference on Computer Vision Theory and Applications (VISIGRAPP 2012) - Volume 2: VISAPP},
year={2012},
pages={112-117},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003846001120117},
isbn={978-989-8565-03-7},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Vision Theory and Applications (VISIGRAPP 2012) - Volume 2: VISAPP
TI - A NEW APPROACH FOR DENOISING IMAGES BASED ON WEIGHTS OPTIMIZATION
SN - 978-989-8565-03-7
IS - 2184-4321
AU - Jin, Q.
AU - Grama, I.
AU - Liu, Q.
PY - 2012
SP - 112
EP - 117
DO - 10.5220/0003846001120117
PB - SciTePress