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Geometric Modelling pp 37–53Cite as

Geometric Modeling of Parallel Curves on Surfaces

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

Abstract

This paper is concerned with various aspects of the modeling of parallel curves on surfaces with special emphasis on surfaces of revolution. An algorithm for efficient tracking of the geodesics on these surfaces is presented. Existing methods for plane offset curves are adapted to generate G’-spline approximations of parallel curves on arbitrary surfaces. An algorithm to determine singularities and cusps in the parallel curve is established.

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References

  1. Arnold, R.: Quadratische und kubische Offset-Bezierkurven. Dissertation, Universität Dortmund, 1986.

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Author information

Authors and Affiliations

  1. Computer Science Department, Technical University Chemnitz, D-09107, Chemnitz, Germany

    Guido Brunnett

Authors
  1. Guido Brunnett
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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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Cite this paper

Brunnett, G. (2001). Geometric Modeling of Parallel Curves on Surfaces. 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_3

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  • DOI: https://doi.org/10.1007/978-3-7091-6270-5_3

  • 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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