An Image Denoising Method Based on Analytical Sparse Representation
A sparse representation and image technology, applied in image enhancement, image data processing, instruments, etc., to achieve the effect of removing noise, accurate target and background information, and improving performance
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[0039] This image denoising method based on analytic sparse representation first uses the noisy image to learn the analytic dictionary through the subset tracking algorithm, then uses the Bregman distance as the objective function, uses the weighted split Bregman algorithm to estimate the source signal, and obtains the final denoising image to achieve the purpose of image denoising.
[0040] The specific steps are:
[0041] ① Extract K from the overlap of noisy images The size of the image sub-blocks, the sub-blocks are arranged in columns to obtain the training data matrix Y∈R n×K .
[0042] ② Use the subset tracking algorithm to train Y to obtain the analytical dictionary Ω∈R p×n . In the subset pursuit algorithm, the number of iterations is set to N, and the common sparsity is set to l.
[0043] ③Using the weighted split Bregman algorithm to estimate the source signal, the optimization function of the algorithm is:
[0044] min ...
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