Fig. 1. Cascaded dual-domain crossed encoding and decoding network structure

Fig. 2. Image-domain and K-domain convolution structures. (a) Image-domain convolution; (b) K-domain convolution

Fig. 3. Dual domain cascaded modes. (a) Parallel cascade; (b) crossed cascade

Fig. 4. Comparison of 4-fold under-sampled and full-sampled K-domain data visualization.(a) Under-sampled K-space; (b) full-sampled K-space

Fig. 5. Reconstruction results of under-sampled MRI. (a) 4× under-sampled zero-filled magnetic resonance images; (b) magnetic resonance images reconstructed by U-Net; (c) magnetic resonance images reconstructed by DPC-Net; (d) magnetic resonance images reconstructed by KIKI-Net; (e) full-sampled true value

Fig. 6. Reconstruction error. (a) 4× under-sampled zero filled MRI error; (b) reconstruction error of U-Net; (c) reconstruction error of DPC-Net; (d) reconstruction error of KIKI-Net

Table 1. Performance comparison of two cascaded methods

Table 2. Performance comparison of loss function weights in reconstruction

Table 3. Objective indicators of reconstruction results of cascaded dual-domain codec network

Table 4. Reconstruction performance of different networks under different acceleration magnifications