In this paper, we
propose a new fast image reconstruction method in which a regularly
undersampled signal is used instead of random sampling, as is used in
compressed sensing. To diffuse the aliasing artifact caused by under-sampling,
we adopt phase-scrambling Fourier transform imaging. The proposed method has an
advantage over CS in that the quality of the image does not depend on the
selection of the sampling trajectory. Simulation studies and experiments show
that the proposed method has almost the same peak signal-to-noise ratio as that
of a compressed sensing reconstruction.
