Title
Below the Surface of the Non-local Bayesian Image Denoising Method.
Abstract
The non-local Bayesian (NLB) patch-based approach of Lebrun et al. [12] is considered as a state-of-the-art method for the restoration of (color) images corrupted by white Gaussian noise. It gave rise to numerous ramifications like e.g., possible improvements, processing of various data sets and video. This article is the first attempt to analyse the method in depth in order to understand the main phenomena underlying its effectiveness. Our analysis, corroborated by numerical tests, shows several unexpected facts. In a variational setting, the first-step Bayesian approach to learn the prior for patches is equivalent to a pseudo-Tikhonov regularisation where the regularisation parameters can be positive or negative. Practically very good results in this step are mainly due to the aggregation stage - whose importance needs to be re-evaluated.
Year
DOI
Venue
2017
10.1007/978-3-319-58771-4_17
Lecture Notes in Computer Science
Field
DocType
Volume
Wiener filter,Numerical tests,Data set,Non-local means,Computer science,Algorithm,Image denoising,Additive white Gaussian noise,Bayesian probability
Conference
10302
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
10
2
Name
Order
Citations
PageRank
Pablo Arias11437.96
Mila Nikolova21792105.71