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BLaC Wavelets and Non-Nested Wavelets

  • Georges-Pierre Bonneau
Part of the Mathematics and Visualization book series (MATHVISUAL)

Abstract

Two multiresolution analyses (MRA) intended to be used in scientific visualization, and that are both based on a non-nested set of approximating spaces, are presented. The notion of approximated refinement is introduced to deal with non-nested spaces. The first MRA scheme, referred to as BLaC (Blending of Linear and Constant) wavelets is based on a one parameter family of wavelet bases that yields a blend between Haar and linear wavelet bases. The approximated refinement is applied in the last part to build a second MRA scheme for data defined on an arbitrary planar triangular mesh.

Keywords

Scaling Function Wavelet Function Multiresolution Analysis Approximation Space Detail Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Georges-Pierre Bonneau
    • 1
  1. 1.Research Lab. GRAVIR-IMAGGrenoble I UniversityFrance

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