Analysis of the spectral properties of the Radon transform for the design of optimal sampling grids

Abstract

The sampling theorem also known as Shannon theorem is the basis for digital signal processing and computer based algorithms. A great number of publications is devoted to sampling and reconstruction of signals. Spectral properties of the underlying continuous signals and different kinds of applications require a specific approach in designing an optimal sampling grid. For doing this, in the domain of multidimensional signal processing a greater degree of freedom can be utilized. In this paper the spectral properties of the projection signal of a tomograph with respect to the bandwidth is analysed and an optimal sampling grid for projection data is presented.