Mojette transform on densest lattices in 2D and 3D

Abstract

The Mojette Transform (MT) is an exact discrete form of the Radon transform. It has been originally defined on the lattice Zn (where n is the dimension). We propose to study this transform when using the densest lattices for the dimensions 2 and 3, namely the lattice A2 and the face-centered cubic lattice A3. In order to compare the legacy MT using Zn, versus the new MT using An, we define a fair comparison methodology between the two MT schemes. In particular we detail how to generate the projection angles by exploiting the lattice symmetries and by reordering the Haros-Farey series. Statistic criteria have been also defined to analyse the information distribution on the projections. The experimental results study shows the specific nature of the information distribution on the MT projections due to the high compacity of the An lattices.