JOURNAL ARTICLE

<title>Bayesian wavelet-based image estimation using noninformative priors</title>

Mário A. T. FigueiredoRobert D. Nowak

Year: 1999 Journal:   Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE Vol: 3816 Pages: 97-108   Publisher: SPIE

Abstract

The sparseness and decorrelation properties of the discrete wavelet transform have been exploited to develop powerful denoising methods. Most schemes use arbitrary thresholding nonlinearities with ad hoc parameters, or employ computationally expensive adaptive procedures. Weovercome these deficiencies with a new wavelet-based denoising technique derived from a simple empirical Bayes approach based on Jeffreys&apos; non-informative priors. Our approach is a step towards objective Bayesian wavelet-based denoising. The result is a remarkably simple fixed non-linear shrinkage/thresholding rule which performs better than other more computationally demanding methods.

Keywords:
Wavelet Thresholding Prior probability Bayesian probability Pattern recognition (psychology) Computer science Artificial intelligence Noise reduction Discrete wavelet transform Decorrelation Stationary wavelet transform Wavelet transform Mathematics Image (mathematics) Algorithm

Metrics

11
Cited By
1.12
FWCI (Field Weighted Citation Impact)
3
Refs
0.77
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Image and Signal Denoising Methods
Physical Sciences →  Computer Science →  Computer Vision and Pattern Recognition
Sparse and Compressive Sensing Techniques
Physical Sciences →  Engineering →  Computational Mechanics
Advanced Image Fusion Techniques
Physical Sciences →  Engineering →  Media Technology

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