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Proceedings Paper

Imaging Through Atmospheric Turbulence Using Modified Log Gradients
Author(s): Herbert W. Swan; Joseph W. Goodman
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Paper Abstract

A new approach to the problem of imaging through a time-varying randomly inhomogeneous medium is presented. This method assumes that an ensemble of short exposure images of a single fixed scene or object is available. It also assumes that knowledge of the average short-term optical transfer function is either known or estimated empirically from a point reference source. Restoration is performed by averaging a modified log gradient of the observed image spectra. This log gradient operator is an exact, mapping of discrete convolution into finite-field addi-tion, and is closely related to the complex "cepstrum," popularized by Oppenheim, It is shown to be invertible to within a constant multiplicative factor by a series of eigenvector computations. The mathematics of this gradient operator are developed, and two-dimensional simulations are presented.

Paper Details

Date Published: 7 December 1982
PDF: 6 pages
Proc. SPIE 0358, Applications of Mathematics in Modern Optics, (7 December 1982); doi: 10.1117/12.934061
Show Author Affiliations
Herbert W. Swan, Stanford University (United States)
Joseph W. Goodman, Stanford University (United States)

Published in SPIE Proceedings Vol. 0358:
Applications of Mathematics in Modern Optics
William H. Carter, Editor(s)

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