Overview
First ever dedicated text on convergence issues in blind deconvolution
Discusses the conditions under which blind deconvolution works
Presents the nature of image priors which prevents trivial solutions, all of which allow practitioners to design image restoration algorithms
Includes supplementary material: sn.pub/extras
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Table of contents (8 chapters)
Keywords
About this book
Blind deconvolution is a classical image processing problem which has been investigated by a large number of researchers over the last four decades. The purpose of this monograph is not to propose yet another method for blind image restoration. Rather the basic issue of deconvolvability has been explored from a theoretical view point. Some authors claim very good results while quite a few claim that blind restoration does not work. The authors clearly detail when such methods are expected to work and when they will not.
In order to avoid the assumptions needed for convergence analysis in the Fourier domain, the authors use a general method of convergence analysis used for alternate minimization based on three point and four point properties of the points in the image space. The authors prove that all points in the image space satisfy the three point property and also derive the conditions under which four point property is satisfied. This provides the conditions under which alternate minimization for blind deconvolution converges with a quadratic prior.
Since the convergence properties depend on the chosen priors, one should design priors that avoid trivial solutions. Hence, a sparsity based solution is also provided for blind deconvolution, by using image priors having a cost that increases with the amount of blur, which is another way to prevent trivial solutions in joint estimation. This book will be a highly useful resource to the researchers and academicians in the specific area of blind deconvolution.
Authors and Affiliations
Bibliographic Information
Book Title: Blind Image Deconvolution
Book Subtitle: Methods and Convergence
Authors: Subhasis Chaudhuri, Rajbabu Velmurugan, Renu Rameshan
DOI: https://doi.org/10.1007/978-3-319-10485-0
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-10484-3Published: 07 October 2014
Softcover ISBN: 978-3-319-35216-9Published: 22 September 2016
eBook ISBN: 978-3-319-10485-0Published: 22 September 2014
Edition Number: 1
Number of Pages: XV, 151
Number of Illustrations: 17 b/w illustrations, 16 illustrations in colour
Topics: Image Processing and Computer Vision, Signal, Image and Speech Processing