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• W2146378240 abstract "The wavelet coefficients of a 2D natural image are not only approximately sparse with a large number of coefficients tend to be zeros, but also yield a quadtree structure. According to structured sparsity theory, the required measurement bounds for compressive sensing reconstruction can be reduced to O(K+log(N/K)) by exploiting the tree structure rather than O(K+Klog(N/K)) for standard K-sparse data. In this paper, we proposed two algorithms with convex relaxation to solve the tree-based MRI problem. They are based on FISTA and NESTA frameworks respectively to validate the benefit of tree sparsity in accelerated MRI, both of which have very fast convergence rate and low computational cost. These properties make them be comparable with the fastest algorithms with standard sparsity. Extensive experiments are conducted to validate how much benefit it can bring by tree sparsity. Experimental results show that the proposed methods can definitely improve existing MRI algorithms, although with gaps to the theory." @default.
• W2146378240 created "2016-06-24" @default.
• W2146378240 creator A5063253432 @default.
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• W2146378240 date "2014-08-01" @default.
• W2146378240 modified "2023-10-02" @default.
• W2146378240 title "The benefit of tree sparsity in accelerated MRI" @default.
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• W2146378240 doi "https://doi.org/10.1016/j.media.2013.12.004" @default.
• W2146378240 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/24380657" @default.
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