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Mathematics of Surfaces XI pp 201–218Cite as

Conversion of Dupin Cyclide Patches into Rational Biquadratic Bézier Form

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3604))

Abstract

This paper uses the symmetry properties of circles and Bernstein polynomials to establish a series of interesting barycentric properties of rational biquadratic Bézier patches. A robust algorithm is presented, based on these properties, for the conversion of Dupin cyclide patches into Bézier form. A set of conversion examples illustrates the use of this algorithm.

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Author information

Authors and Affiliations

  1. LE2I, UMR CNRS 5158, UFR Sciences, Université de Bourgogne, BP 47870, 21078, Dijon Cedex, France

    Sebti Foufou & Lionel Garnier

  2. LMR Systems, 21 High Street, Carlton, Bedford, MK43 7LA, UK

    Michael J. Pratt

Authors
  1. Sebti Foufou
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  2. Lionel Garnier
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  3. Michael J. Pratt
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Editor information

Editors and Affiliations

  1. School of Computer Science, Cardiff University, Cardiff, UK

    Ralph Martin

  2. Department of Computer Science, Loughborough University, LE11 3TU, Leicestershire, UK

    Helmut Bez

  3. Numerical Geometry Ltd., UK

    Malcolm Sabin

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© 2005 Springer-Verlag Berlin Heidelberg

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Cite this paper

Foufou, S., Garnier, L., Pratt, M.J. (2005). Conversion of Dupin Cyclide Patches into Rational Biquadratic Bézier Form. In: Martin, R., Bez, H., Sabin, M. (eds) Mathematics of Surfaces XI. Lecture Notes in Computer Science, vol 3604. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11537908_12

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  • DOI: https://doi.org/10.1007/11537908_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28225-9

  • Online ISBN: 978-3-540-31835-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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