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Interpolation

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

Abstract

Given the values and derivatives of a bivariate function, it is quite easy to construct smooth piecewise polynomial interpolants using their Bézier representation. However, there is no straightforward extension to arbitrary parametric surfaces as, for example, spheres. General C r joints or singular parametrizations are necessary to build such interpolants.

Keywords

Tangent Plane Closed Surface Hermite Interpolation Arbitrary Topology Adjacent Triangle 
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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