Title
Denoising of multicomponent images using wavelet least-squares estimators
Abstract
In this paper, we study denoising of multicomponent images. The presented procedures are spatial wavelet-based denoising techniques, based on Bayesian least-squares optimization procedures, using prior models for the wavelet coefficients that account for the correlations between the spectral bands. We analyze three mixture priors: Gaussian scale mixture models, Bernoulli-Gaussian mixture models and Laplacian mixture models. These three prior models are studied within the same framework of least-squares optimization. The presented procedures are compared to Gaussian prior model and single-band denoising procedures. We analyze the suppression of non-correlated as well as correlated white Gaussian noise on multispectral and hyperspectral remote sensing data and Rician distributed noise on multiple images of within-modality magnetic resonance data. It is shown that a superior denoising performance is obtained when (a) the interband covariances are fully accounted for and (b) prior models are used that better approximate the marginal distributions of the wavelet coefficients.
Year
DOI
Venue
2008
10.1016/j.imavis.2007.11.003
Image Vision Comput.
Keywords
Field
DocType
bayesian least-squares optimization procedure,denoising,multicomponent images,bayesian estimation,prior model,wavelet least-squares estimator,multicomponent image,wavelet coefficient,gaussian scale mixture model,superior denoising performance,least squares estimators,wavelets,bernoulli-gaussian mixture model,correlated white gaussian noise,single-band denoising procedure,laplacian mixture model,least squares estimators.,mixture prior,least square,mixture model,gaussian mixture model,white gaussian noise,magnetic resonance
Least squares,Noise reduction,Pattern recognition,Gaussian,Artificial intelligence,Prior probability,Additive white Gaussian noise,Bayes estimator,Mixture model,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
26
7
Image and Vision Computing
Citations 
PageRank 
References 
7
0.50
22
Authors
5
Name
Order
Citations
PageRank
Steve De Backer120015.14
Aleksandra Pizurica21238102.29
Bruno Huysmans3272.12
Wilfried Philips41476124.85
Paul Scheunders51190102.87