Wavelet representation of functions defined on tetrahedrical grids

By: Contributor(s): Material type: ArticleArticleDescription: 1 archivo (564,5 KB)Subject(s): Online resources: Summary: 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) defined on non structured grids. The basic contribution is the extension of wavelets to represent scalar functions on volumetric domains of arbitrary topological type. This exten- sion is made by constructing a wavelet basis defined on any tetrahedrized volume. This basis construction is achieved using multiresolution analysis and the lifting scheme.
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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) defined on non structured grids. The basic contribution is the extension of wavelets to represent scalar functions on volumetric domains of arbitrary topological type. This exten- sion is made by constructing a wavelet basis defined on any tetrahedrized volume. This basis construction is achieved using multiresolution analysis and the lifting scheme.

Journal of Computer Science & Technology, 1(6)