Compressed sensing recovery of MR angiography data from noisy and undersampled Fourier data (acceleration of 1.5 with 5dB additive Gaussian noise). (a) through (h) are the maximum intensity projection images of the dataset. (a) is the original image. (b) to (d) show the reconstructions with acceleration of 5, using direct iFFT, 3D-TV, 3D-HDTV2, separately. (e) to (h) indicate the reconstructed images with acceleration of 1.5, using 3D-TV, direct iFFT, 3D-HDTV2, 3D-HDTV3, separately. We observe that 3D-HDTV method preserves more details that are lost in 3D-TV reconstruction. The arrows highlight two regions that are shown in zoomed detail in Fig. 7.