Haar-Like Wavelets over Tetrahedra

• Liliana B. Boscardin ^[1] ; Liliana R. Castro ^[1] ; Silvia M. Castro ^[1]
  1. [1] Universidad Nacional del Sur

     Universidad Nacional del Sur

     Argentina

     
• Localización: Journal of Computer Science and Technology, ISSN-e 1666-6038, Vol. 17, Nº. 2, 2017, págs. 92-99
• Idioma: inglés
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• Resumen

  • In this paper we define a Haar-like wavelets basis that form a basis for L2(T,S,μ), μ being the Lebesgue measure and S the σ-algebra of all tetrahedra generated from a subdivision method of the T tetrahedron. As 3D objects are, in general, modeled by tetrahedral grids, this basis allows the multiresolution representation of scalar functions defined on polyhedral volumes, like colour, brightness, density and other properties of an 3D object.