Title
Lanczos-based fast blind deconvolution methods
Abstract
The task of restoring an image that has been contaminated by blur and noise arises in many applications. When the blurring matrix (or equivalently, the point-spread function) is explicitly known, this task commonly is referred to as deconvolution. In many applications only an approximation of the blurring matrix is available. The restoration task then is referred to as blind deconvolution. This paper describes a family of blind deconvolution methods that allow a user to adjust the blurring matrix used in the computation to achieve an improved restoration. The methods are inexpensive to use; the major computational effort required for large-scale problems is the partial reduction of an available large symmetric approximate blurring matrix by a few steps of the symmetric Lanczos process. A real-time application to adaptive optics that requires fast blind deconvolution is described.
Year
DOI
Venue
2021
10.1016/j.cam.2020.113067
Journal of Computational and Applied Mathematics
Keywords
DocType
Volume
Image restoration,Ill-posed problem,Lanczos tridiagonalization,Discrepancy principle
Journal
382
ISSN
Citations 
PageRank 
0377-0427
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
L. Dykes100.34
R. Ramlau200.34
Lothar Reichel345395.02
K.M. Soodhalter400.34
R. Wagner500.34