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Circular Radon transform

V.V. Kotlyar1,2, A.A. Kovalev1,2
1Image Processing Systems Institute of RAS
2Samara State Aerospace University

 PDF, 502 kB

Pages: 126-133.

Abstract:
The paper considers an integral transformation called the Circular Radon Transform (CRT), which is a generalization of the Radon transform for the case when the integration is performed along a circle of a certain radius, not a straight line. The radius of the circle is the transform parameter. Expressions for the CRT of several specific functions are obtained. Formulae are derived for generating an object image when the object is shifted and scaled. An optical scheme for performing the CRT is provided.

Keywords:
circular transform, radon, CRT, radius circle.

Citation:
Kotlyar VV, Kovalev AA. Circular Radon transform. Computer Optics 2003; 25: 126-133.

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