# Fractional Radon Transform and its Convolution Theorem

## Keywords:

Radon transform, Fractional Radon transform, Fourier transform, Fractional Fourier transform## Abstract

Fractional Radon transform which is symbolized with the notation , it is different to the classical Radon transform. The shift property of fractional Radon transform is controlled by the fractional order Rotation of the input object at angle will rotate the fractional Radon transform at that angle thus, the fractional Radon transform is rotation invariant. The fractional Fourier transform, with respect to of the fractional Radon transform of an object is the central slice at angle of the -dimensional fractional Fourier transform of this object. In this paper we explain the mathematical formation of fractional Radon transform and established a convolution theorem for the fractional Radon transform.

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*American Scientific Research Journal for Engineering, Technology, and Sciences*,

*61*(1), 7–12. Retrieved from https://www.asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/5301

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