Image Denoising With 2D Scale-Mixing Complex Wavelet Transforms

Author

Remenyi, Norbert ; Nicolis, Orietta ; Nason, Guy ; Vidakovic, Brani

Author_Institution

Res. Group, Sabre Holdings, Southlake, TX, USA

Volume

23

Issue

12

fYear

2014

fDate

Dec. 2014

Firstpage

5165

Lastpage

5174

Abstract

This paper introduces an image denoising procedure based on a 2D scale-mixing complex-valued wavelet transform. Both the minimal (unitary) and redundant (maximum overlap) versions of the transform are used. The covariance structure of white noise in wavelet domain is established. Estimation is performed via empirical Bayesian techniques, including versions that preserve the phase of the complex-valued wavelet coefficients and those that do not. The new procedure exhibits excellent quantitative and visual performance, which is demonstrated by simulation on standard test images.

Keywords

Bayes methods; covariance analysis; image denoising; wavelet transforms; white noise; 2D scale mixing complex valued wavelet transform; complex valued wavelet coefficients; covariance structure; empirical Bayesian techniques; image denoising; white noise; Bayes methods; Covariance matrices; Discrete wavelet transforms; Noise; Wavelet domain; Image denoising; bivariate normal distribution; complex-valued wavelets; empirical Bayes estimation; empirical bayes estimation; posterior mean; scale-mixing wavelet transform;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/TIP.2014.2362058

Filename

6918447