Compressive sampling on hologram phase maps

Abstract

Compressive sampling using a random Gaussian measurement matrix is used to reconstruct hologram phase maps. From these phase maps, hologram images are reconstructed. The text in the resulting hologram images could only be seen from reconstructions from phase maps measured at 90% and above of the Nyquist sampling rate. The errors of the hologram image reconstructions of phase maps sampled below 90% were relatively the same despite decreasing error of the phase map reconstructions.