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Exact Envelope Computation for Moving Surfaces with Quadratic Support Functions

  • Margot Rabl
  • Bert Jüttler
  • Laureano Gonzalez-Vega

Abstract

We consider surfaces whose support function is obtained by restricting a quadratic polynomial to the unit sphere. If such a surface is subject to a rigid body motion, then the Gauss image of the characteristic curves is shown to be a spherical quartic curve, making them accessible to exact geometric computation. In particular we analyze the case of moving surfaces of revolution.

Key words

envelope characteristic curve support function parameterization 

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Copyright information

© Springer Science+Business Media B.V 2008

Authors and Affiliations

  • Margot Rabl
    • 1
  • Bert Jüttler
    • 1
  • Laureano Gonzalez-Vega
    • 2
  1. 1.Institute of Applied GeometryJohannes Kepler UniversityLinzAustria
  2. 2.Departamenta de Matemáticas, Estadística y ComputatiónUniversidad de CantabriaSantanderSpain

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