Reference-Driven Undersampled MR Image Reconstruction Using Wavelet Sparsity-Constrained Deep Image Prior

Algorithm 1

Algorithm for the proposed RWS-DIP method.

Input:

  MaxIt - the iteration number for ADMM;

  SubIt - the iteration number for the update of network parameters;

   - the ADMM penalty parameter;

   - the regularization parameter;

   - the reference MR image;

   - the wavelet transform operator;

   - -space measurement;

Output: The reconstructed target MR image, ;

1: Initialization:, and set randomly;

2: =1: do

3: Update: Solve Eq.(6) using Adam and back-propagation for iterations;

4: Update: Apply Eq.(9) to obtain the solution of subproblem in Eq.(7);

5: Update:

6: end for

7: Reconstruction: CNN output ;

8: Data correction: ;

9: ;