A joint inter- and intrascale statistical model for Bayesian wavelet based image denoising

2002 ◽  
Vol 11 (5) ◽  
pp. 545-557 ◽  
Author(s):  
A. Pizurica ◽  
W. Philips ◽  
I. Lemahieu ◽  
M. Acheroy
Keyword(s):  
Statistical Model ◽  
Image Denoising ◽  
Bayesian Wavelet

LOCALLY ADAPTIVE MULTISCALE BAYESIAN METHOD FOR IMAGE DENOISING BASED ON BIVARIATE NORMAL INVERSE GAUSSIAN DISTRIBUTIONS

2008 ◽  
Vol 06 (04) ◽  
pp. 653-664 ◽  
Author(s):  
MOHAMAD FOROUZANFAR ◽  
HAMID ABRISHAMI MOGHADDAM ◽  
SONA GHADIMI
Keyword(s):  
Statistical Model ◽  
Image Denoising ◽  
Minimum Mean Square Error ◽  
Model Parameters ◽  
Inverse Gaussian ◽  
Wavelet Coefficients ◽  
Bivariate Normal ◽  
Wide Range ◽  
Heavy Tailed ◽  
Normal Inverse Gaussian

Recently, the use of wavelet transform has led to significant advances in image denoising applications. Among wavelet-based denoising approaches, the Bayesian techniques give more accurate estimates. Considering interscale dependencies, these estimates become closer to the original image. In this context, the choice of an appropriate model for wavelet coefficients is an important issue. The performance can also be improved by estimating model parameters in a local neighborhood. In this paper, we propose the bivariate normal inverse Gaussian (NIG) distribution, which can model a wide range of heavy-tailed to less heavy-tailed processes, to model the local wavelet coefficients at adjacent scales. We will show that this new statistical model is superior to the conventional generalized Gaussian (GG) model. Then, a minimum mean square error-based (MMSE-based) Bayesian estimator is designed to effectively remove noise from wavelet coefficients. Exploiting this new statistical model in the dual-tree complex wavelet domain, we achieved state-of-the-art performance among related recent denoising approaches, both visually and in terms of peak signal-to-noise ratio (PSNR).

Bayesian Wavelet-Based Image Denoising Using the Gauss–Hermite Expansion

2008 ◽  
Vol 17 (10) ◽  
pp. 1755-1771 ◽  
Author(s):  
S.M.M. Rahman ◽  
M.O. Ahmad ◽  
M.N.S. Swamy
Keyword(s):  
Image Denoising ◽  
Hermite Expansion ◽  
Bayesian Wavelet

Edge structure preserving image denoising using OAGSM/NC statistical model

2013 ◽  
Vol 23 (1) ◽  
pp. 200-212 ◽  
Author(s):  
Xiang-Yang Wang ◽  
Hong-Ying Yang ◽  
Zhong-Kai Fu
Keyword(s):  
Statistical Model ◽  
Image Denoising ◽  
Edge Structure ◽  
Structure Preserving
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