Fast iterative magnetic resonance image reconstruction method based on high-order total variation regularization
A magnetic resonance image, full variation technology, applied in image enhancement, image analysis, image data processing, etc.
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[0085] The present invention will be described in detail below in conjunction with the accompanying drawings and embodiments.
[0086] Such as figure 1 Shown, the specific implementation steps of the present invention are as follows:
[0087] (1) Utilize the pre-set subsampling template to obtain part of the k-space data, in order to verify the effect of the present invention, four groups of reference magnetic resonance images are adopted, such as figure 2 Shown are the lateral brain MRI image (a), axial brain MRI image (b), angiography MRI image (c), wrist MRI image (d), and the reference image Liye transform, collect the original k-space data, the collected under-sampled k-space data is expressed as b=Af+n, where A is the under-sampling operation operator in k-space after performing Fourier transform on the magnetic resonance image, n is the additive noise that may exist in actual sampling, b is the obtained k-space undersampling data, and f is the image to be reconstruct...
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