Abstract
A formal definition of a combinatorial topology is presented in this paper for the discrete N-dimensional space defined by the An* lattice. The use of this grid instead of the classical n is based on two arguments: It is the optimal sampling grid in the sense of Shannon's sampling theorem in 2 and 3 dimensions, It induces the simplest discrete topology definition because its dual is a K-simplex. Their interest in image processing and in the medical imaging field is presented with some examples.
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