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Low-complexity image denoising based on statistical modeling of wavelet coefficients
Abstract
We introduce a simple spatially adaptive statistical model for wavelet image coefficients and apply it to image denoising. Our model is inspired by a recent wavelet image compression algorithm, the estimation-quantization (EQ) coder. We model wavelet image coefficients as zero-mean Gaussian random variables with high local correlation. We assume a marginal prior distribution on wavelet coefficients variances and estimate them using an approximate maximum a posteriori probability rule. Then we apply an approximate minimum mean squared error estimation procedure to restore the noisy wavelet image coefficients. Despite the simplicity of our method, both in its concept and implementation, our denoising results are among the best reported in the literature.
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Cited by
Image information and visual quality
Sheikh, H. R., & Bovik, A. C. (2006) · IEEE Transactions on Image Processing · doi:10.1109/tip.2005.859378 · Cited by 4,104
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Sheikh, H. R., Bovik, A. C., & de Veciana, G. (2005) · IEEE Transactions on Image Processing · doi:10.1109/tip.2005.859389 · Cited by 1,399
A New SURE Approach to Image Denoising: Interscale Orthonormal Wavelet Thresholding
Luisier, F., Blu, T., & Unser, M. (2007) · IEEE Transactions on Image Processing · doi:10.1109/tip.2007.891064 · Cited by 623
Incorporating Convolution Designs into Visual Transformers
Yuan, K., Guo, S., Liu, Z., Zhou, A., Yu, F., & Wu, W. (2021) · 2021 IEEE/CVF International Conference on Computer Vision (ICCV) · doi:10.1109/iccv48922.2021.00062 · Cited by 611
No-reference quality assessment using natural scene statistics: JPEG2000
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Metadata
- Authors
- Kivanc Mihcak, M., Kozintsev, I., Ramchandran, K., & Moulin, P.
- Venue
- IEEE Signal Processing Letters
- Published
- 1999-12
- Volume
- 6
- Issue
- 12
- Pages
- 300-303
- ISSN
- 1070-9908 (ISSN-L)
- 1558-2361
- OpenAlex
- W2065391104
- Cited by
- 780
- References
- 0
- FWCI
- 20.11
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kivanc Mihcak, M., Kozintsev, I., Ramchandran, K., & Moulin, P. (1999). Low-complexity image denoising based on statistical modeling of wavelet coefficients. IEEE Signal Processing Letters. https://doi.org/10.1109/97.803428
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