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Fill-in Regions

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Geometric Modelling

Part of the book series: Computing Supplement ((COMPUTING,volume 13))

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Abstract

We approach the problem of three-dimensional shape preserving interpolation by defining fill-in regions that are regions in space which contain all interpolating curves with a desired shape. These regions are defined for special types of curves called coils, which are non-strict versions of curves of geometric order three in three dimensions. We establish that the fill-in regions are a set of tetrahedra and show how they must be restricted to form interpolating curves.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Mendel Center, 315 Turnpike Street, Merrimack College, North Andover, MA, 01845, USA

    C. Labenski

  2. Department of Mathematics, Rensselaer Polytechnic Institute, Amos Eaton Building, Troy, New York, 12180, USA

    B. Piper

Authors
  1. C. Labenski
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  2. B. Piper
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Editor information

Editors and Affiliations

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

    Gerald Farin

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

    Hanspeter Bieri

  3. Fachbereich Maschinenbau, Universität Kaiserslautern, Kaiserslautern, Germany

    Guido Brunnett

  4. Pixar Animation Studios, Richmond, CA, USA

    Tony De Rose

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© 1998 Springer-Verlag Wien

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Cite this paper

Labenski, C., Piper, B. (1998). Fill-in Regions. In: Farin, G., Bieri, H., Brunnett, G., De Rose, T. (eds) Geometric Modelling. Computing Supplement, vol 13. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6444-0_15

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  • DOI: https://doi.org/10.1007/978-3-7091-6444-0_15

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83207-3

  • Online ISBN: 978-3-7091-6444-0

  • eBook Packages: Springer Book Archive

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