title: Gerchberg-Saxton and Yang-Gu algorithms for phase retrieval in a nonunitary transform system: a comparison.
abstract: 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-Gu 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 transform system the Yang-Gu algorithm is identical to the Gerchberg-Saxton algorithm. The reconstruction of images from data corrupted with random 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.
authors.forename: G Z
authors.initials: GZ
authors.lastname: Yang
authors.forename: B Z
authors.initials: BZ
authors.lastname: Dong
authors.forename: B Y
authors.initials: BY
authors.lastname: Gu
authors.forename: J Y
authors.initials: JY
authors.lastname: Zhuang
authors.forename: O K
authors.initials: OK
authors.lastname: Ersoy