Noise removal via Bayesian wavelet coring

Eero Simoncelli, Edward H. Adelson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The classical solution to the noise removal problem is the Wiener filter, which utilizes the second-order statistics of the Fourier decomposition. Subband decompositions of natural images have significantly non-Gaussian higher-order point statistics; these statistics capture image properties that elude Fourier-based techniques. We develop a Bayesian estimator that is a natural extension of the Wiener solution, and that exploits these higher-order statistics. The resulting nonlinear estimator performs a `coring' operation. We provide a simple model for the subband statistics, and use it to develop a semi-blind noise-removal algorithm based on a steerable wavelet pyramid.

Original languageEnglish (US)
Title of host publicationIEEE International Conference on Image Processing
Editors Anon
PublisherIEEE
Pages379-382
Number of pages4
Volume1
StatePublished - 1996
EventProceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3) - Lausanne, Switz
Duration: Sep 16 1996Sep 19 1996

Other

OtherProceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3)
CityLausanne, Switz
Period9/16/969/19/96

Fingerprint

Statistics
Decomposition
Higher order statistics

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Hardware and Architecture
  • Electrical and Electronic Engineering

Cite this

Simoncelli, E., & Adelson, E. H. (1996). Noise removal via Bayesian wavelet coring. In Anon (Ed.), IEEE International Conference on Image Processing (Vol. 1, pp. 379-382). IEEE.

Noise removal via Bayesian wavelet coring. / Simoncelli, Eero; Adelson, Edward H.

IEEE International Conference on Image Processing. ed. / Anon. Vol. 1 IEEE, 1996. p. 379-382.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Simoncelli, E & Adelson, EH 1996, Noise removal via Bayesian wavelet coring. in Anon (ed.), IEEE International Conference on Image Processing. vol. 1, IEEE, pp. 379-382, Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3), Lausanne, Switz, 9/16/96.
Simoncelli E, Adelson EH. Noise removal via Bayesian wavelet coring. In Anon, editor, IEEE International Conference on Image Processing. Vol. 1. IEEE. 1996. p. 379-382
Simoncelli, Eero ; Adelson, Edward H. / Noise removal via Bayesian wavelet coring. IEEE International Conference on Image Processing. editor / Anon. Vol. 1 IEEE, 1996. pp. 379-382
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