Title
Combining Poisson singular integral and total variation prior models in image restoration.
Abstract
In this paper, a novel Bayesian image restoration method based on a combination of priors is presented. It is well known that the Total Variation (TV) image prior preserves edge structures while imposing smoothness on the solutions. However, it tends to oversmooth textured areas. To alleviate this problem we propose to combine the TV and the Poisson Singular Integral (PSI) models, which, as we will show, preserves the image textures. The PSI prior depends on a parameter that controls the shape of the filter. A study on the behavior of the filter as a function of this parameter is presented. Our restoration model utilizes a bound for the TV image model based on the majorization–minimization principle, and performs maximum a posteriori Bayesian inference. In order to assess the performance of the proposed approach, in the experimental section we compare it with other restoration methods.
Year
DOI
Venue
2014
10.1016/j.sigpro.2013.09.027
Signal Processing
Keywords
Field
DocType
Deblurring,Denoising,Bayesian image restoration,Total Variation,Poisson Singular Integral
Noise reduction,Mathematical optimization,Bayesian inference,Deblurring,Singular integral,Maximum a posteriori estimation,Image restoration,Poisson distribution,Prior probability,Mathematics
Journal
Volume
Issue
ISSN
103
C
0165-1684
Citations 
PageRank 
References 
1
0.35
18
Authors
6
Name
Order
Citations
PageRank
Pablo Ruiz1379.59
Hiram Madero Orozco2121.35
Javier Mateos353352.70
Osslan Osiris Vergara Villegas4156.40
Rafael Molina51439103.16
Aggelos K. Katsaggelos63410340.41