Two-Dimensional Radon-Fourier Transformer

Anthony J. Ticknor; Roger L. Easton; Harrison H. Barrett

doi:10.1117/12.7973429

1 February 1985 Two-Dimensional Radon-Fourier Transformer

Anthony J. Ticknor, Roger L. Easton, Harrison H. Barrett

Author Affiliations +

Optical Engineering, Vol. 24, Issue 1, 240182 (February 1985). https://doi.org/10.1117/12.7973429

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.

Citation Download Citation

Anthony J. Ticknor, Roger L. Easton, and Harrison H. Barrett "Two-Dimensional Radon-Fourier Transformer," Optical Engineering 24(1), 240182 (1 February 1985). https://doi.org/10.1117/12.7973429

Published: 1 February 1985

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