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Proceedings Paper

Gerchberg-Type Linear Deconvolution And Extrapolation Algorithms
Author(s): Robert J. Marks II; David K. Smith
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Paper Abstract

Gerchberg's iterative extrapolation algorithm is generalized to two dimensions in two distinct ways. The first generalization is implemented on a coherent optical processor. Fundamental limitations are discussed. A second generalization is reformulated discretely and placed in closed form. A number of digital implementations are presented. A generalized methodology is then developed for a certain class of deconvolution problems. Gerchberg's algorithm and other deconvolution algorithms are shown to be special cases. Algorithm convergence and stability (posedness) are discussed and exemplified. Last, methods of incorporating further object information into the iterative algorithms are explored.

Paper Details

Date Published: 27 February 1984
PDF: 18 pages
Proc. SPIE 0373, Transformations in Optical Signal Processing, (27 February 1984); doi: 10.1117/12.934546
Show Author Affiliations
Robert J. Marks II, University of Washington (United States)
David K. Smith, University of Washington (United States)

Published in SPIE Proceedings Vol. 0373:
Transformations in Optical Signal Processing
William T. Rhodes; James R. Fienup; Bahaa Saleh, Editor(s)

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