Title
Variational multiframe restoration of images degraded by noisy (stochastic) blur kernels
Abstract
This article introduces and explores a class of degradation models in which an image is blurred by a noisy (stochastic) point spread function (PSF). The aim is to restore a sharper and cleaner image from the degraded one. Due to the highly ill-posed nature of the problem, we propose to recover the image given a sequence of several observed degraded images or multiframes. Thus we adopt the idea of the multiframe approach introduced for image super-resolution, which reduces distortions appearing in the degraded images. Moreover, we formulate variational minimization problems with the robust (local or nonlocal) L^1 edge-preserving regularizing energy functionals, unlike prior works dealing with stochastic point spread functions. Several experimental results on grey-scale/color images and on real static video data are shown, illustrating that the proposed methods produce satisfactory results. We also apply the degradation model to a segmentation problem with simultaneous image restoration.
Year
DOI
Venue
2013
10.1016/j.cam.2012.07.009
J. Computational Applied Mathematics
Keywords
Field
DocType
point spread function,image super-resolution,simultaneous image restoration,stochastic point spread function,color image,degraded image,blur kernel,observed degraded image,segmentation problem,degradation model,variational multiframe restoration,cleaner image,total variation,image restoration
Mathematical optimization,Segmentation,Variational model,Minification,Image restoration,Point spread function,Mathematics
Journal
Volume
ISSN
Citations 
240,
0377-0427
5
PageRank 
References 
Authors
0.41
29
3
Name
Order
Citations
PageRank
Miyoun Jung112510.72
Antonio Marquina243145.30
Luminita A. Vese35389302.64