Optical applications of von Neumann’s alternating-projection theorem
- 1 January 1982
- journal article
- Published by Optica Publishing Group in Optics Letters
- Vol. 7 (1) , 1-3
- https://doi.org/10.1364/ol.7.000001
Abstract
The previous work of Gerchberg [Opt. Acta 21, 709 (1974)], Papoulis [IEEE Trans. Circuits Syst. CAS-22, 735 (1975)], Youla [IEEE Trans. Circuits Syst. CAS-25, 694 (1978)], and Stark et al. [J. Opt. Soc. Am. 71, 735 (1981)] on image restoration is presented in a generalized setting. New examples using three projections are given. The method is used to solve the general problem of diffraction by a perfectly conducting plane screen of arbitrary configuration.Keywords
This publication has 8 references indexed in Scilit:
- Is it possible to restore an optical object from its low-pass spectrum and its truncated image?Optics Letters, 1981
- Restoration of arbitrary finite-energy optical objects from limited spatial and spectral informationJournal of the Optical Society of America, 1981
- Generalized Image Restoration by the Method of Alternating Orthogonal ProjectionsIEEE Transactions on Circuits and Systems, 1978
- A new algorithm in spectral analysis and band-limited extrapolationIEEE Transactions on Circuits and Systems, 1975
- Super-resolution through Error Energy ReductionOptica Acta: International Journal of Optics, 1974
- Diffraction by perfectly conducting plane screensIl Nuovo Cimento B (1971-1996), 1971
- Algebraic Formulation of Diffraction Applied to Self ImagingJournal of the Optical Society of America, 1968
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IIBell System Technical Journal, 1961