On a family of nonlinear cell-average multiresolution schemes for image processing: An experimental study

This paper is devoted to a new family of nonlinear cell-average multiresolution schemes and its applications to image processing. The algorithms are based on nonlinear reconstruction operators with several desirable features: the reconstructions are third-order accurate in smooth regions, the data u...

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Bibliographic Details
Published in:Mathematics and computers in simulation 2015-12, Vol.118, p.30-48
Main Authors: Amat, S., Liandrat, J., Ruiz, J., Trillo, J.C.
Format: Article
Language:English
Subjects:
[formula omitted]-power means
Cell-average multiresolution
Compression
Denoising
Nonlinear subdivision schemes
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Summary:This paper is devoted to a new family of nonlinear cell-average multiresolution schemes and its applications to image processing. The algorithms are based on nonlinear reconstruction operators with several desirable features: the reconstructions are third-order accurate in smooth regions, the data used is always centered with optimal support and they are adapted to the presence of discontinuities. The goal is to obtain similar properties as linear multiresolution schemes but avoiding the classical Gibbs phenomenon of this type of reconstructions. Applications to image compression and denoising will be presented.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2015.01.002