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Brendt Wohlberg and Paul Rodríguez, "An l1-TV algorithm for deconvolution with salt and pepper noise", in Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), (Taipei, Taiwan), doi:10.1109/ICASSP.2009.4959819, pp. 1257--1260, Apr 2009

Abstract

There has recently been considerable interest in applying Total Variation regularization with an l1 data fidelity term to the denoising of images subject to salt and pepper noise, but the extension of this formulation to more general problems, such as deconvolution, has received little attention. We consider this problem, comparing the performance of l1-TV deconvolution, computed via our Iteratively Reweighted Norm algorithm, with an alternative variational approach based on Mumford-Shah regularization. The l1-TV deconvolution method is found to have a significant advantage in reconstruction quality, with comparable computational cost.

BibTeX Entry

@inproceedings{wohlberg-2009-l1tv,
author = {Brendt Wohlberg and Paul Rodr\'{i}guez},
title = {An $l^{1}$ -TV algorithm for deconvolution with salt and pepper noise},
year = {2009},
month = Apr,
urlpdf = {http://brendt.wohlberg.net/publications/pdf/wohlberg-2009-l1tv.pdf},
booktitle = {Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)},
address = {Taipei, Taiwan},
doi = {10.1109/ICASSP.2009.4959819},
pages = {1257--1260}
}