Gz. Yang et al., GERCHBERG-SAXTON AND YANG-GU ALGORITHMS FOR PHASE RETRIEVAL IN A NONUNITARY TRANSFORM SYSTEM - A COMPARISON, Applied optics, 33(2), 1994, pp. 209-218
A detailed comparison of the original Gerchberg-Saxton and the Yang-Gu
algorithms for the reconstruction of model images from two intensity
measurements in a nonunitary transform system is presented. The Yang-G
u algorithm is a generalization of the Gerchberg-Saxton algorithm and
is effective in solving the general amplitude-phase-retrieval problem
in any linear unitary or nonunitary transform system. For a unitary tr
ansform system the Yang-Gu algorithm is identical to the Gerchberg-Sax
ton algorithm. The reconstruction of images from data corrupted with r
andom noise is also investigated. The simulation results show that the
Yang-Gu algorithm is relatively insensitive to the presence of noise
in data. In all cases studied the Yang-Gu algorithm always resulted in
a highly accurate recovered phase.