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On Sampling Lattices with Similarity Scaling Relationships

S. Bergner, D. Van De Ville, T. Blu, T. Möller

Proceedings of the Eighth International Workshop on Sampling Theory and Applications (SampTA'09), Marseille, French Republic, May 18-22, 2009.



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.


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