Method for removing truncation artifacts in magnetic resonance images based on missing data reconstruction
A magnetic resonance image, missing data technology, applied in the field of image processing, can solve the problem of undiscovered magnetic resonance image truncation artifact elimination method, etc.
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[0050] This embodiment includes the following steps:
[0051] The first step is to detect the MRI images containing truncation artifacts to obtain low-frequency K data.
[0052] Described detection comprises the following steps:
[0053] (1) Perform Fourier transform on the magnetic resonance image containing truncation artifacts to obtain two-dimensional K data, namely:
[0054]
[0055] in: is an MR image of size N×N with truncation artifacts, is two-dimensional K data, k x Phase encoding for MRI scans, k y coded for frequency, is a two-dimensional Fourier transform operator;
[0056] (2) at k x The point where the direction changes suddenly is the cut-off frequency c, 0c (k x , k y ),which is:
[0057]
[0058] (3) The two-dimensional K data and the matrix function R of the cutoff frequency c (k x , k y ) are multiplied to obtain low-frequency K data.
[0059] The second step is to perform frequency encoding k on the low-frequency K data y The in...
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