Reordering for Improved Constrained Reconstruction from Undersampled k-Space Data

Figure 1

(a) A fully sampled smoothly varying 1D signal and the corresponding signal reconstructed using IFT from its incomplete Fourier data undersampled by a factor of two (𝑅∼2) in a random fashion. (b) A fully sampled nonsmooth varying 1D signal and the corresponding signal reconstructed using IFT from its 𝑅∼2 Fourier data undersampled in a random fashion. (c) Comparison of the original fully sampled smooth signal and the reconstructed signal from 𝑅∼2 Fourier data without reordering. (d) Comparison of the original fully sampled nonsmooth signal and the corresponding signal reconstructed from 𝑅∼2 Fourier data without reordering. (e) Comparison of the original fully sampled nonsmooth signal and the corresponding sorted signal. (f) Comparison of the original fully sampled nonsmooth signal and the signal reconstructed from 𝑅∼2 Fourier data with reordering.

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