GERCHBERG-SAXTON AND YANG-GU ALGORITHMS FOR PHASE RETRIEVAL IN A NONUNITARY TRANSFORM SYSTEM - A COMPARISON

被引:372
作者
YANG, GZ [1 ]
DONG, BZ [1 ]
GU, BY [1 ]
ZHUANG, JY [1 ]
ERSOY, OK [1 ]
机构
[1] PURDUE UNIV, SCH ELECT ENGN, W LAFAYETTE, IN 47907 USA
来源
APPLIED OPTICS | 1994年 / 33卷 / 02期
关键词
D O I
10.1364/AO.33.000209
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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.
引用
收藏
页码:209 / 218
页数:10
相关论文
共 37 条
[1]  
[Anonymous], 1972, OPTIK
[2]   ALGORITHMS FOR RECONSTRUCTION OF PARTIALLY KNOWN, BAND-LIMITED FOURIER-TRANSFORMS PAIRS FROM NOISY DATA [J].
BARAKAT, R ;
NEWSAM, G .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1985, 2 (11) :2027-2039
[3]   COMPOSITE TWO-DIMENSIONAL PHASE-RESTORATION PROCEDURE [J].
BATES, RHT ;
FRIGHT, WR .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1983, 73 (03) :358-365
[4]  
Boucher R. H., 1980, Proceedings of the Society of Photo-Optical Instrumentation Engineers, V231, P130
[5]   PHASE RETRIEVAL FOR DISCRETE FUNCTIONS WITH SUPPORT CONSTRAINTS [J].
CRIMMINS, TR .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1987, 4 (01) :124-134
[6]   UNIQUENESS OF PHASE RETRIEVAL FOR FUNCTIONS WITH SUFFICIENTLY DISCONNECTED SUPPORT [J].
CRIMMINS, TR ;
FIENUP, JR .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1983, 73 (02) :218-221
[7]  
FENUP JR, 1982, J OPT SOC AM, V72, P610
[8]  
Ferwerda H. A., 1978, Inverse source problems in optics, P13
[9]  
FERWERDA HA, 1977, PHOTOGR SCI ENG, V21, P282
[10]   PHASE RETRIEVAL ALGORITHMS - A COMPARISON [J].
FIENUP, JR .
APPLIED OPTICS, 1982, 21 (15) :2758-2769