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The undecimated wavelet transform and the Maximum A Posteriori (MAP) criterion have been applied to the problem of despeckling SAR images. The solution is based on the assumption that the wavelet coefficients have a known distribution; in previous works, the generalized Gaussian function has been successfully employed. Furthermore, despeckling methods can be improved by using a classification of the wavelet coefficients according to their texture energy. A major drawback of using the generalized Gaussian distribution is the high computational cost, since the MAP solution can be found only numerically.
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