Fourier methods in tomography, a review

Abstract

Fourier theory plays a central role in tomography and a special class of reconstruction methods, known as direct Fourier methods, belongs directly from this theory. Recently, related to the demand for 3D reconstruction, the interest for these methods has been growing due to their reduced computational complexity. In this paper we are going to review the application of Fourier theory to the field of tomograghy, both for projection and reconstruction. These basics of direct Fourier methods as well as some specific implementation are addressed.