Open AccessHaar-LikeWavelets over Tetrahedra
Author(s) -
Liliana Beatriz Boscardín,
Liliana Castro,
Silvia Mabel Castro
Publication year - 2017
Publication title -
journal of computer science and technology
Language(s) - English
Resource type - Journals
eISSN - 1666-6046
pISSN - 1666-6038
DOI - 10.24215/16666038.17.e13
Subject(s) - tetrahedron , basis (linear algebra) , haar , computer science , subdivision , haar wavelet , wavelet , lebesgue measure , mathematics , pure mathematics , lebesgue integration , geometry , wavelet transform , discrete wavelet transform , computer vision , archaeology , history
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.