Sparse representation SAR image despeckling method based on Gaussian scale mixture model
A sparse representation and proportional mixing technology, applied in the field of image filtering research, which can solve the problems of inability to suppress coherent speckle noise as much as possible, the effect of speckle reduction is not as good as PPB, and the loss of image detail information.
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[0099] A method for reducing speckle in a sparsely represented SAR image based on the GSM model in this embodiment, first uses a method of probability estimation to divide the SAR image into several sets of similar blocks subject to the same probability and statistical characteristics, and according to the principle of sparse representation The image block is modeled to obtain a convex optimization mathematical model. Then the Bayesian estimation and the probability density function of the coherent speckle are combined to perform GSM modeling on the sparse coefficients in the model, and a sparse representation model based on GSM is obtained. Since similar image blocks in each set obey the same mathematical statistics, they satisfy the same sparse representation. Using the above modeling method to establish a mathematical model for a set of several image blocks, the solution of the model uses iterative regularization, and after the optimal solution of the convex optimization mo...
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