On sampling lattices with similarity scaling relationships

Steven Bergner (1) , Dimitri van de Ville (2) , Thierry Blu (3) , Torsten Möller (1)

1 School of Computing Science
2 Biomedical Imaging Group [Lausanne]
3 Department of Electronic Engineering [Hong Kong]

We provide a method for constructing regular sampling lattices in arbitrary dimensions together with an integer dilation matrix. Subsampling using this dilation matrix leads to a similarity-transformed version of the lattice with a chosen density reduction. These lattices are interesting candidates for multidimensional wavelet constructions with a limited number of subbands.

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

Steven Bergner, Dimitri van de Ville, Thierry Blu, Torsten Möller. On sampling lattices with similarity scaling relationships. SAMPTA'09, May 2009, Marseille, France. pp.General session. ⟨hal-00453440⟩