Blind Deconvolution via Lower-Bounded Logarithmic Image Priors

Perrone, Daniele; Diethelm, Remo; Favaro, Paolo (2015). Blind Deconvolution via Lower-Bounded Logarithmic Image Priors. In: Energy Minimization Methods in Computer Vision and Pattern Recognition - Proceedings of the 10th International Conference, EMMCVPR 2015. Lecture Notes in Computer Science: Vol. 8932 (pp. 112-125). Springer 10.1007/978-3-319-14612-6_9

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In this work we devise two novel algorithms for blind deconvolution based on a family of logarithmic image priors. In contrast to recent approaches, we consider a minimalistic formulation of the blind deconvolution problem where there are only two energy terms: a least-squares term for the data fidelity and an image prior based on a lower-bounded logarithm of the norm of the image gradients. We show that this energy formulation is sufficient to achieve the state of the art in blind deconvolution with a good margin over previous methods. Much of the performance is due to the chosen prior. On the one hand, this prior is very effective in favoring sparsity of the image gradients. On the other hand, this prior is non convex. Therefore, solutions that can deal effectively with local minima of the energy become necessary. We devise two iterative minimization algorithms that at each iteration solve convex problems: one obtained via the primal-dual approach and one via majorization-minimization. While the former is computationally efficient, the latter achieves state-of-the-art performance on a public dataset.

Item Type: Conference or Workshop Item (Paper)
Division/Institute: 08 Faculty of Science > Institute of Computer Science (INF)
UniBE Contributor: Perrone, Daniele and Favaro, Paolo
Subjects: 000 Computer science, knowledge & systems
500 Science > 510 Mathematics
ISSN: 0302-9743
ISBN: 978-3-319-14612-6
Series: Lecture Notes in Computer Science
Publisher: Springer
Language: English
Submitter: Paolo Favaro
Date Deposited: 29 Apr 2015 11:59
Last Modified: 01 Apr 2016 02:30
Publisher DOI: 10.1007/978-3-319-14612-6_9
BORIS DOI: 10.7892/boris.67438

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