Publication: MAP estimation of Pearson Type IV random vectors in AWGN
Issued Date
2012-10-02
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2-s2.0-84866760879
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Mahidol University
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SCOPUS
Bibliographic Citation
2012 9th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2012. (2012)
Suggested Citation
Pichid Kittisuwan MAP estimation of Pearson Type IV random vectors in AWGN. 2012 9th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2012. (2012). doi:10.1109/ECTICon.2012.6254122 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/14033
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MAP estimation of Pearson Type IV random vectors in AWGN
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Abstract
This paper is concerned with wavelet-based image denoising using Bayesian technique. In conventional denoising process, The parameters of probability density function (PDF) are usually calculated from the first few moments, mean and variance. In this work, a new image denoising algorithm based on Pearson Type IV random vectors is proposed. Pearson Type IV is used because it allows higher-order moments (skewness and kurtosis) to be incorporated into the noiseless wavelet coefficients' probabilistic model. One of the cruxes of the Bayesian image denoising methods is to estimate statistical parameters for a shrinkage function. We employ maximum a posterior (MAP) estimation to calculate local variances with Gamma density prior for local observed variances and Gaussian distribution for noisy wavelet coefficients. The experimental results show that the proposed method yields good denoising results. © 2012 IEEE.