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Publications sur Dual smoothing
Résultat de la recherche dans la liste des publications :
2 Articles de conférence |
1 - Complex wavelet regularization for solving inverse problems in remote sensing. M. Carlavan et P. Weiss et L. Blanc-Féraud et J. Zerubia. Dans Proc. IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Cape Town, South Africa, juillet 2009. Mots-clés : Deconvolution, Dual smoothing, nesterov scheme, remote sensing, wavelet.
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2 - Smoothing techniques for convex problems. Applications in image processing.. P. Weiss et M. Carlavan et L. Blanc-Féraud et J. Zerubia. Dans Proc. SAMPTA (international conference on Sampling Theory and Applications), Marseille, France, mai 2009. Mots-clés : nesterov scheme, convergence rate, Dual smoothing.
@INPROCEEDINGS{PWEISS_SAMPTA09,
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author |
= |
{Weiss, P. and Carlavan, M. and Blanc-Féraud, L. and Zerubia, J.}, |
title |
= |
{Smoothing techniques for convex problems. Applications in image processing.}, |
year |
= |
{2009}, |
month |
= |
{mai}, |
booktitle |
= |
{Proc. SAMPTA (international conference on Sampling Theory and Applications)}, |
address |
= |
{Marseille, France}, |
url |
= |
{http://www.math.univ-toulouse.fr/~weiss/Publis/Conferences/Eusipco09.pdf}, |
pdf |
= |
{http://www.math.univ-toulouse.fr/~weiss/Publis/Conferences/Sampta09.pdf}, |
keyword |
= |
{nesterov scheme, convergence rate, Dual smoothing} |
} |
Abstract :
In this paper, we present two algorithms to solve some inverse problems coming from the field of image processing. The problems we study are convex and can be expressed simply as sums of lp-norms of affine transforms of the image. We propose 2 different techniques. They are - to the best of our knowledge - new in the domain of image processing and one of them is new in the domain of mathematical programming. Both methods converge to the set of minimizers. Additionally, we show that they converge at least as O(1/N) (where N is the iteration counter) which is in some sense an ``optimal'' rate of convergence. Finally, we compare these approaches to some others on a toy problem of image super-resolution with impulse noise. |
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