A Compressed Sampling MRI Image Reconstruction Method Based on Curvelet-Fista
A magnetic resonance image, compression sampling technology, applied in image data processing, 2D image generation, instruments, etc., can solve the problems of poor direction selectivity of wavelet transform, poor detail reconstruction effect, etc., achieve fast convergence speed, high sparse representation performance, good reconstruction effect
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[0108] Below in conjunction with accompanying drawing and embodiment of description, specific embodiment of the present invention is described in further detail:
[0109] Such as Figure 1 to Figure 7 , a compression sampling magnetic resonance image reconstruction method based on curvelet-fista, which uses Curvelet transform combined with a fast iterative shrinkage threshold algorithm to realize image reconstruction; the Curvelet-based fast iterative shrinkage threshold algorithm includes the following steps:
[0110] Step (1) Initialization: Given the iteration stop threshold ε, the image block observation matrix Φ, and the image observation matrix Y, set the iteration counter, Curvelet transform adaptive threshold shrinkage operator and k=1, t=0, λ respectively =λ 0 , μ=0.9;
[0111] Step (2) Curvelet sparse transformation:
[0112] Θ k+1 =C(X k+1 )
[0113] (5-1)
[0114] Among them, C is Curvelet sparse transformation;
[0115] Step (3) Perform fast iterative shri...
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