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Direct Computation of a Control Vertex Position on any Subdivision Level

  • Loïc Barthe
  • Leif Kobbelt
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2768)

Abstract

In this paper, we present general closed form equations for directly computing the position of a vertex at different subdivision levels for both triangular and quadrilateral meshes. These results are obtained using simple computations and they lead to very useful applications, especially for adaptive subdivision. We illustrate our method on Loop’s and Catmull-Clark’s subdivision schemes.

Keywords

Subdivision Scheme Quadrilateral Mesh Central Vertex Subdivision Surface Closed Form Equation 
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 2003

Authors and Affiliations

  • Loïc Barthe
    • 1
  • Leif Kobbelt
    • 1
  1. 1.Computer Graphics GroupRWTH AachenAachenGermany

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