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Piecewise Linear Wavelets over Type-2 Triangulations

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Geometric Modelling

Part of the book series: Computing ((COMPUTING,volume 14))

Abstract

The idea of summing pairs of so-called semi-wavelets has been found to be very useful for constructing piecewise linear wavelets over refinements of arbitrary triangulations. In this paper we demonstrate the versatility of the semi-wavelet approach by using it to construct bases for the piecewise linear wavelet spaces induced by uniform refinements of four-directional box-spline grids.

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References

  1. Chui, C. K.: Multivariate splines. Philadelphia: SIAM, 1988.

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Author information

Authors and Affiliations

  1. SINTEF, Applied, Mathematics, Blindern, Oslo, Post Box 124, N-0314, Norway

    M. S. Floater & E. G. Quak

Authors
  1. M. S. Floater
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  2. E. G. Quak
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Editor information

Editors and Affiliations

  1. Fakultät für Informatik, TU Chemnitz, Chemnitz, Germany

    Guido Brunnett

  2. Institut für Informatik und angewandte Mathematik, Universität Bern, Bern, Switzerland

    Hanspeter Bieri

  3. Department of Computer Science and Engineering, Arizona State University, Tempe, AZ, USA

    Gerald Farin

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© 2001 Springer-Verlag Wien

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Floater, M.S., Quak, E.G. (2001). Piecewise Linear Wavelets over Type-2 Triangulations. In: Brunnett, G., Bieri, H., Farin, G. (eds) Geometric Modelling. Computing, vol 14. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6270-5_6

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  • DOI: https://doi.org/10.1007/978-3-7091-6270-5_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83603-3

  • Online ISBN: 978-3-7091-6270-5

  • eBook Packages: Springer Book Archive

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