Generalized tree sparse-based weight nuclear norm magnetic resonance imaging reconstruction method
A magnetic resonance imaging and nuclear norm technology, applied in the field of medical image processing, can solve the problems of not taking into account the inherent structure sparsity of the signal, the difficulty of accurately reconstructing magnetic resonance MRI images, and the difficulty of medical diagnosis, so as to achieve less aliasing artifacts , Fast recovery speed, good fidelity effect
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[0045] The present invention will be further described below in conjunction with specific embodiments.
[0046] Such as figure 1 As shown, the weighted nuclear norm magnetic resonance imaging (MRI) reconstruction method based on generalized tree sparseness described in this embodiment is specifically: first, obtain a test magnetic resonance imaging (MRI) sampling data sample and perform Fourier transform; then according to the sampling The sparse signal of the tree structure is constructed from the signal, and the sparse expression of the constrained objective function is approximated by the weighted nuclear norm; then the constrained objective function is optimized by the augmented Lagrangian multiplier method and the Alternate Direction Search (ADMM) algorithm The test data is updated iteratively until the estimated restored data is obtained; finally, the final restored image is obtained by constructing tree sparse inverse transformation. It includes the following steps:
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