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Stationary subdivision for regular nets

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

Abstract

Under a stationary subdivision scheme, a regular control net is transformed into a regular control net whose vertices are affine combinations of the initial control points. The weights of these affine combinations can be given by masks or algebraically by a characteristic polynomial, as in the case of curve algorithms.

Keywords

Subdivision Scheme Triangular Grid Refinement Equation Refinement Operator Stationary Subdivision 
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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