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Bézier techniques

  • Hartmut Prautzsch
  • Wolfgang Boehm
  • Marco Paluszny
Part of the Mathematics and Visualization book series (MATHVISUAL)

Abstract

Many algorithms for curves in Bézier representation can be understood and derived using symmetric polynomials. In this chapter, the relationship between univariate and symmetric multivariate polynomials is explained and the basic CAGD algorithms based on this relationship are presented. The most important algorithm is de Casteljaués. It has several applications and serves as an important theoretical tool.

Keywords

Convex Hull Recursion Formula Curve Generation Polar Form Curve Segment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Hartmut Prautzsch
    • 1
  • Wolfgang Boehm
    • 2
  • Marco Paluszny
    • 3
  1. 1.Geometrische DatenverarbeitungUniversität Karlruhe (TH)KarlsruheGermany
  2. 2.Angewandte Geometrie und ComputergraphikTechnische Universität BraunschweigBraunschweigGermany
  3. 3.Escuela de Matematicas, Facultad de CienciasUniversidad Central de VenezuelaCaracasVenezuela

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