Three-regular-term magnetic resonance image reconstruction method based on compressed sensing theory
A magnetic resonance image and compressed sensing technology, which is applied in the field of medical imaging detection and medical magnetic resonance imaging, can solve problems such as limitations
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[0030] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.
[0031] (1) Measured value obtained from the following form,
[0032]
[0033] in Gaussian white noise, its standard deviation =0.001, is the partial Fourier transform, is the original image information.
[0034] (2) and As the known input data, considering both image sparseness and image smoothness, the following compound regularization objective function is established, as shown in formula (1).
[0035] (3) Regular parameters are determined. For a fair comparison of the algorithms, set the parameter value of the regular term as: =0.001, =0.035 and =0.2 .
[0036] (4) Use soft threshold function to solve formula (3) about subproblem of , and use the SALSA method to solve the formula (7) about The subproblem of , the obtained solution is the reconstructed MRI image information.
[0037] figure 1 a...
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