Analysis of Mojette Transform Projections using Z3 lattice versus A3 lattice

Vincent Ricordel (1) , Nicolas Normand (1) , Jeanpierre Guédon (1)

1 LS2N - Laboratoire des Sciences du Numérique de Nantes

The Mojette Transform (MT) is an exact discrete form of the Radon transform. It has been originally defined on the cubic lattice Z n (where n is the dimension). We propose to study this transform when using the densest lattice for the dimension 3, namely the face-centered cubic lattice A 3. In order to compare the legacy MT using Z 3 , versus the new MT using A 3 , we use a fair comparison methodology between the two MT schemes. Statistic criteria have been defined to analyse the information distribution on the projections. The experimental results show the specific nature of the information distribution on the MT projections due to the compacity of the A 3 lattice.

Mots clés: Mojette Transform; Discrete Tomogra- phy; Lattices; Densest Lattices

Domaines: Mathématique discrète [cs.DM]; Traitement du signal et de l'image [eess.SP]

Vincent Ricordel, Nicolas Normand, Jeanpierre Guédon. Analysis of Mojette Transform Projections using Z3 lattice versus A3 lattice. Sino-French Workshop on Research Collaborations in Informations and Communication Technologies (SIFWICT), Jun 2017, Qingdao, China. ⟨hal-01644998⟩