Gerchberg-Type Linear Deconvolution And Extrapolation Algorithms

Robert J. Marks II; David K. Smith

doi:10.1117/12.934546

27 February 1984 Gerchberg-Type Linear Deconvolution And Extrapolation Algorithms

Robert J. Marks II, David K. Smith

Proceedings Volume 0373, Transformations in Optical Signal Processing; (1984) https://doi.org/10.1117/12.934546
Event: Transformations in Optical Signal Processing, 1981, Seattle, United States

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.

Citation Download Citation

Robert J. Marks II and David K. Smith "Gerchberg-Type Linear Deconvolution And Extrapolation Algorithms", Proc. SPIE 0373, Transformations in Optical Signal Processing, (27 February 1984); https://doi.org/10.1117/12.934546

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available