A Compressed Sensing MRI Reconstruction Method with Modified Regularization Parameters
A magnetic resonance imaging and compressed sensing technology, applied in the field of image processing, can solve the problems of reducing clinical throughput, reducing equipment utilization rate in scanning time and reconstruction time, and high operating costs, so as to reduce the time of magnetic resonance imaging and reduce sampling Quantity, reducing the effect of data transmission
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specific Embodiment approach 1
[0047] A compressive sensing MRI reconstruction method with modified regularization parameters, such as figure 1 shown, including the following steps:
[0048] Step a, obtaining part of K-space data;
[0049] Step b. Constructing a magnetic resonance image reconstruction objective function by using the total variational transformation model theory;
[0050] Step c. According to the constructed objective function, the solution method of the alternating direction multiplier algorithm is used, and the auxiliary variable regularization coefficient is introduced to balance the regular term and the data constraint term, and the optimization problem of the objective function is transformed into a sub-function solution problem;
[0051] Step d, update the alternate direction multiplier algorithm sub-problem;
[0052] Step e, update the Lagrange multiplier;
[0053] Step f, adding correction factor and , correcting the regularization parameter The value of , balance the regula...
specific Embodiment approach 2
[0105] The embodiment reconstruction algorithm selects the ADMM algorithm, and the reconstructed image selects the brain MRI image, and the image size is , and its implementation steps are as follows:
[0106] 1. The known measurement matrix uses a radial measurement matrix to initialize the under-sampled K-space observation data, perform inverse Fourier transform on it, and obtain the reconstructed initialization image x.
[0107] 2. Initialization parameters , , , , , , , , .
[0108] 3. Use the Alternate Multiplier Algorithm to solve the subproblem and update the initial value of the Lagrange multiplier , :
[0109]
[0110] 4. Use regularization parameters Solve the subproblems:
[0111]
[0112] 5. Add correction factor , modifying the regularization coefficient to solve the subproblem:
[0113]
[0114] 6. Set the dual reconstruction index of peak signal-to-noise ratio and structural similarity, and judge whether to add the correcti...
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