Restoration and Zoom of Irregularly Sampled, Blurred, and Noisy Images by Accurate Total Variation Minimization with Local Constraints

Almansa, Andrés; Caselles, Vicent; Haro, Gloria; Rougé, Bernard

doi:10.1137/050634086

by Andrés Almansa, Vicent Caselles, Gloria Haro, Bernard Rougé

Abstract:

We propose an algorithm to solve a problem in image restoration which considers several different aspects of it, namely: irregular sampling, denoising, deconvolution, and zooming. Our algorithm is based on an extension of a previous image denoising algorithm proposed by A. Chambolle using total variation, combined with irregular to regular sampling algorithms proposed by H.G. Feichtinger, K. Gr results and we compare them with those obtained with the algorithm proposed by K. Gr al. ochenig, M. Rauth and T. Strohmer. Finally we present some experimental ochenig et

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Reference:

Restoration and Zoom of Irregularly Sampled, Blurred, and Noisy Images by Accurate Total Variation Minimization with Local Constraints (Andrés Almansa, Vicent Caselles, Gloria Haro, Bernard Rougé), In SIAM Multiscale Modeling & Simulation, volume 5, 2006.

Bibtex Entry:

@article{Almansa2007,
	Abstract = {We propose an algorithm to solve a problem in image restoration which considers several different aspects of it, namely: irregular sampling, denoising, deconvolution, and zooming. Our algorithm is based on an extension of a previous image denoising algorithm proposed by A. Chambolle using total variation, combined with irregular to regular sampling algorithms proposed by H.G. Feichtinger, K. Gr results and we compare them with those obtained with the algorithm proposed by K. Gr al. ochenig, M. Rauth and T. Strohmer. Finally we present some experimental ochenig et},
	Author = {Almansa, Andr{\'{e}}s and Caselles, Vicent and Haro, Gloria and Roug{\'{e}}, Bernard},
	Doi = {10.1137/050634086},
	Issn = {1540-3459},
	Journal = {SIAM Multiscale Modeling {\&} Simulation},
	Keywords = {65j20,65k10,68u10,94a08,ams subject classifications,image restoration,satellite images,total variation,variational methods},
	Month = {jan},
	Number = {1},
	Pages = {235--272},
	Title = {{Restoration and Zoom of Irregularly Sampled, Blurred, and Noisy Images by Accurate Total Variation Minimization with Local Constraints}},
	Url = {http://conservancy.umn.edu/bitstream/11299/4209/1/2088.pdf},
	Volume = {5},
	Year = {2006},
	Bdsk-Url-1 = {http://conservancy.umn.edu/bitstream/11299/4209/1/2088.pdf},
	Bdsk-Url-2 = {https://doi.org/10.1137/050634086}}