Wavelet representation of functions defined on tetrahedrical grids

In this paper, a method for representing scalar functions on volumes is presented. The method is based on wavelets and it can be used for representing volumetric data (geometric or scalar) defifined on non structured grids. The basic contribution is the extension of wavelets to represent scalar func...

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Autores principales: Castro, Silvia Mabel, Castro, Liliana Raquel, Boscardín, Liliana Beatriz, De Giusti, Armando Eduardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2002
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/9431
http://journal.info.unlp.edu.ar/wp-content/uploads/p31.pdf
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Sumario:In this paper, a method for representing scalar functions on volumes is presented. The method is based on wavelets and it can be used for representing volumetric data (geometric or scalar) defifined on non structured grids. The basic contribution is the extension of wavelets to represent scalar functions on volumetric domains of arbitrary topological type. This extension is made by constructing a wavelet basis defifined on any tetrahedrized volume. This basis construction is achieved using multiresolution analysis and the lifting scheme