Sparsity assisted phase retrieval of complex valued objects

Abstract

Iterative phase retrieval of complex valued objects (phase objects) suffers from twin image problem due to the presence of features of image and its complex conjugate in the recovered solution. The twin-image problem becomes more severe when object support is centro-symmetric. In this paper, we demonstrate that by modifying standard Hybrid-Input output (HIO) algorithm using an adaptive sparsity enhancement step, the twin-image problem can be addressed successfully even when the object support is centro-symmetric. Adaptive sparsity enhanced algorithm and numerical simulation for binary as well as gray scale phase objects are presented. The high quality phase recovery results presented here show the effectiveness of adaptive sparsity enhanced algorithm.