Yang G Z, Dong B Z, Gu B Y, Zhuang J Y, Ersoy O K
Appl Opt. 1994 Jan 10;33(2):209-18. doi: 10.1364/AO.33.000209.
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.
本文对在非酉变换系统中从两个强度测量值重建模型图像的原始格尔奇贝格 - 萨克斯顿算法和杨 - 顾算法进行了详细比较。杨 - 顾算法是格尔奇贝格 - 萨克斯顿算法的推广，可有效解决任何线性酉或非酉变换系统中的一般幅度 - 相位恢复问题。对于酉变换系统，杨 - 顾算法与格尔奇贝格 - 萨克斯顿算法相同。还研究了从被随机噪声污染的数据中重建图像的情况。仿真结果表明，杨 - 顾算法对数据中噪声的存在相对不敏感。在所研究的所有情况下，杨 - 顾算法总能得到高度精确的恢复相位。
