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Optical Engineering

Two-Dimensional Radon-Fourier Transformer
Author(s): Anthony J. Ticknor; Roger L. Easton; Harrison H. Barrett
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Paper Abstract

The well-known central-slice, or projection-slice, theorem states that the Radon transform can be used to reduce a two-dimensional Fourier transform to a series of one-dimensional Fourier transforms. In this paper we describe a practical system for implementing this theorem. The Radon transform is carried out with a rotating prism and a flying-line scanner, while the one-dimensional Fourier transforms are performed with surface acoustic wave filters. Both real and imaginary parts of the complex Fourier transform can be obtained. A method of displaying the two-dimensional Fourier transforms is described, and representative transforms are shown. Application of this approach to Labeyrie speckle interferometry is demonstrated.

Paper Details

Date Published: 1 February 1985
PDF: 4 pages
Opt. Eng. 24(1) doi: 10.1117/12.7973429
Published in: Optical Engineering Volume 24, Issue 1
Show Author Affiliations
Anthony J. Ticknor, University of Arizona (United States)
Roger L. Easton, University of Arizona (United States)
Harrison H. Barrett, University of Arizona (United States)


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