Haar-LikeWavelets over Tetrahedra


  • Liliana Beatriz Boscardín Departamento de Matemática, Universidad Nacional del Sur, Bahía Blanca, Argentina, 8000
  • Liliana Raquel Castro Departamento de Cs. e Ing. de la Computación, Universidad Nacional del Sur, Bahı́a Blanca, Argentina, 8000
  • Silvia Mabel Castro Instituto de Investigaciones en Ingenierı́a Eléctrica, UNS-CONICET, Bahı́a Blanca, Argentina, 8000




subdivision methods, volumetric data, multiresolution analysis, tetrahedral meshes


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.


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How to Cite

Boscardín, L. B., Castro, L. R., & Castro, S. M. (2017). Haar-LikeWavelets over Tetrahedra. Journal of Computer Science and Technology, 17(02), e13. https://doi.org/10.24215/16666038.17.e13



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