Compressed Sensing Reconstruction with Equi-spaced Sampled Signal using Curvelet Transform

Abstract

A new image reconstruction method using equi-spaced under-sampled signal is proposed. Our method has an advantage over standard compressed sensing in that the quality of the image does not depend on the randomness of the sampling trajectory. Simulation studies and experiments show that the proposed method using the Curvelet transform has almost the same peak signal-to-noise ratio as that of a compressed sensing reconstruction.