Three-regular magnetic resonance image reconstruction method based on Split Bregman iteration
A magnetic resonance image, iterative technology, applied in image data processing, 2D image generation, instruments, etc., can solve the problem of high computational complexity, difficult to effectively eliminate aliasing artifacts and Gibbs ringing, and limited image reconstruction accuracy And other issues
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[0050] Illustrate the specific embodiment of the present invention in conjunction with accompanying drawing, a kind of three regular magnetic resonance image reconstruction method based on SplitBregman iteration of the present invention, comprises the following steps:
[0051] Step 1, obtaining under-sampled k-space data by measurement;
[0052] The undersampled k-space initial data f 0 Obtained by the following formula:
[0053] f 0 =RFu+N;
[0054] initial reconstructed image u 0 for: u 0 =F -1 f 0 ;
[0055] In the formula, R is a measurement matrix, and R in this embodiment is a radial measurement matrix with a sampling rate of 0.2 (that is, an acceleration factor of 5).
[0056] F is the Fourier transform, u is the original image, and N is the complex Gaussian noise.
[0057] Step 2. Use the full variation, short support wavelet and wavelet with high regularization order and high vanishing moment to constrain the regularization term, and obtain the reconstructed ...
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