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Parameterizing N-Holed Tori

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Mathematics of Surfaces

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2768))

Abstract

We define a parameterization for an n-holed tori based on the hyperbolic polygon. We model the domain using a manifold with 2n+2 charts, and linear fractional transformations for transition functions. We embed the manifold using standard spline techniques to produce a surface.

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Author information

Authors and Affiliations

  1. Washington University in St. Louis, Box 1045, St. Louis, MO

    Cindy Grimm

  2. Brown University, Box 1910, Providence, RI

    John Hughes

Authors
  1. Cindy Grimm
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  2. John Hughes
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Leeds, P.O. Box, LS2 9JT, Leeds, UK

    Michael J. Wilson

  2. School of Computer Science, Cardiff University, Wales, UK

    Ralph R. Martin

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© 2003 Springer-Verlag Berlin Heidelberg

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Grimm, C., Hughes, J. (2003). Parameterizing N-Holed Tori. In: Wilson, M.J., Martin, R.R. (eds) Mathematics of Surfaces. Lecture Notes in Computer Science, vol 2768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39422-8_2

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  • DOI: https://doi.org/10.1007/978-3-540-39422-8_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20053-6

  • Online ISBN: 978-3-540-39422-8

  • eBook Packages: Springer Book Archive

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