An iterative self-consistency parallel imaging reconstruction method based on transformation learning and joint sparsity
A joint sparse and consistent technology, used in 2D image generation, image data processing, instrumentation, etc.
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[0051] The technical scheme of the present invention is further described in detail below in conjunction with the accompanying drawings: an iterative self-consistent parallel imaging reconstruction method based on transformation learning and joint sparsity, the specific steps of the method are as follows:
[0052] Assumption represents all coil images to be reconstructed, x=(x 1 ,...,x c ,...,x Nc ), Represents the c-th column of x, that is, the vectorized representation of the c-th coil image, N=n x ×n y Indicates the number of pixels in a single image, n x and n y Represent the number of rows and columns of a single image, respectively, N c Indicates the total number of coil images. Partial Fourier measurements or k-space subsampled data for all coil images is given by:
[0053] y=Ax (1)
[0054] in, represents the cth column of y, that is, the partial Fourier measurement data of the cth coil image; A is a partial Fourier transform matrix, and is an N×N ...
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