Abstract

A piecewise isoplanatic approximation (PIA) applicable to the classification of linear systems and the representation of space-variant linear systems is described. A new measure of the degree of invariance is developed and used as a tool to classify linear systems and determine optimal PIA patch sizes and critical points. Also, the relationship of the variation bandwidth to the new measure of invariance is utilized to support the validity of the new measure.

© 1987 Optical Society of America

Holographic representation of space-variant systems: system theory

Robert J. Marks and Thomas F. Krile
Appl. Opt. 15(9) 2241-2245 (1976)

A sampling theorem for space-variant systems

Robert J. Marks, John F. Walkup, and Marion O. Hagler
J. Opt. Soc. Am. 66(9) 918-921 (1976)

Methods of linear system characterization through response cataloging

Robert J. Marks, John F. Walkup, and Marion O. Hagler
Appl. Opt. 18(5) 655-659 (1979)

Finite-length line-spread function

W. J. Dallas, H. H. Barrett, R. E. Wagner, H. Roehrig, and C. N. West
J. Opt. Soc. Am. A 4(11) 2039-2044 (1987)

Three-dimensional imaging: a space invariant model for space variant systems

David N. Sitter and William T. Rhodes
Appl. Opt. 29(26) 3789-3794 (1990)