Reconstruction And Synthesis Applications Of An Iterative Algorithm

J. R. Fienup

doi:10.1117/12.934545

27 February 1984 Reconstruction And Synthesis Applications Of An Iterative Algorithm

J. R. Fienup

Proceedings Volume 0373, Transformations in Optical Signal Processing; (1984) https://doi.org/10.1117/12.934545
Event: Transformations in Optical Signal Processing, 1981, Seattle, United States

Abstract

Abstract. This paper reviews the Gerchberg-Saxton algorithm and variations thereof that have been used to solve a number of difficult reconstruction and synthesis problems in optics and related fields. It can be used on any problem in which only partial information (including both measurements and constraints) of the wavefront or signal is available in one domain and other partial information is available in another domain (usually the Fourier domain). The algorithm combines the information in both domains to arrive at the complete description of the wavefront or signal. Various applications are reviewed, including synthesis of Fourier transform pairs having desirable properties as well as reconstruction problems. Variations of the algorithm and the convergence properties of the algorithm are discussed.

Citation Download Citation

J. R. Fienup "Reconstruction And Synthesis Applications Of An Iterative Algorithm", Proc. SPIE 0373, Transformations in Optical Signal Processing, (27 February 1984); https://doi.org/10.1117/12.934545

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