A ug 2 00 8 Discrete Affine Surfaces based on Quadrangular Meshes

  • M ARCOS C RAIZER, H ENRI A NCIAUX, T HOMAS L EWINER
  • Published 2008

Abstract

In this paper we are interested in defining affine structures on discrete quadrangular surfaces of the affine three-space. We introduce, in a constructive way, two classes of such surfaces, called respectively indefinite and definite surfaces. The underlying meshes for indefinite surfaces are asymptotic nets satisfying a non-degeneracy condition, while the… (More)

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