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Noise removal via Bayesian wavelet coring
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.
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Cited by
Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries
Elad, M., & Aharon, M. (2006) · IEEE Transactions on Image Processing · doi:10.1109/tip.2006.881969 · Cited by 5,321
Bayesian integration in sensorimotor learning
Körding, K. P., & Wolpert, D. M. (2004) · Nature · doi:10.1038/nature02169 · Cited by 2,004
Wavelet-based statistical signal processing using hidden Markov models
Crouse, M. S., Nowak, R. D., & Baraniuk, R. G. (1998) · IEEE Transactions on Signal Processing · doi:10.1109/78.668544 · Cited by 1,643
Image denoising: Can plain neural networks compete with BM3D?
Burger, H. C., Schuler, C. J., & Harmeling, S. (2012) · 2012 IEEE Conference on Computer Vision and Pattern Recognition · doi:10.1109/cvpr.2012.6247952 · Cited by 1,325
Spatially adaptive wavelet thresholding with context modeling for image denoising
Chang, S. G., Yu, B., & Vetterli, M. (2000) · IEEE Transactions on Image Processing · doi:10.1109/83.862630 · Cited by 893
Metadata
- Authors
- Simoncelli, E. P., & Adelson, E. H.
- Venue
- Proceedings of 3rd IEEE International Conference on Image Processing
- Publisher
- IEEE
- Published
- 2002-12-23
- Volume
- 1
- Pages
- 379-382
- ISSN
- 1522-4880 (ISSN-L)
- OpenAlex
- W2149925139
- Cited by
- 612
- References
- 0
- FWCI
- 29.56
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Simoncelli, E. P., & Adelson, E. H. (2002). Noise removal via Bayesian wavelet coring. Proceedings of 3rd IEEE International Conference on Image Processing. https://doi.org/10.1109/icip.1996.559512
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