Research Article

Reordering for Improved Constrained Reconstruction from Undersampled k-Space Data

Figure 5

Reordering method for 2D images. (a) Simulated piecewise constant heart image. (b) Image reconstructed using IFT from ~15% of the full Fourier data, undersampled in a variable density random fashion. (c) Image reconstructed from undersampled data using a TV spatial constraint. (d) Actual MR magnitude image of the short-axis slice of a heart at a single point in a perfusion sequence reconstructed from fully sampled k-space data using IFT. (e) Corresponding IFT reconstruction from k-space data undersampled in VD random fashion. (f) Reconstruction using a 2D TV constraint without any reordering. (g) Row-reordered image of the real part of the complex MR image of the heart. (h) Reconstructed image with spatial reordering using a TV constraint. Ordering of the data here was obtained using the image reconstructed from fully sampled data.
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