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\(\sqrt 5 \)-subdivision

  • Ioannis P. Ivrissimtzis
  • Neil A. Dodgson
  • Malcolm Sabin
Part of the Mathematics and Visualization book series (MATHVISUAL)

Summary

Most established subdivision schemes have the refined grid at each stage aligned with the previous one. The \(\sqrt 3 \) and \(\sqrt 2 \) schemes alternate orientations. This paper is one of the first detailed studies of a skew scheme in which the axis directions after refinement do not either lie along or bisect those before. It raises the issue of how the analysis techniques can be applied in this new context and provides an example of how they may be thus applied.

Keywords

Tangent Plane Subdivision Scheme Quadrilateral Mesh Subdivision Surface Circulant Matrix 
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 2005

Authors and Affiliations

  • Ioannis P. Ivrissimtzis
    • 1
  • Neil A. Dodgson
    • 2
  • Malcolm Sabin
    • 3
  1. 1.Max-Planck-Institut für InformatikSaarbrückenGermany
  2. 2.Computer LaboratoryUniversity of CambridgeUK
  3. 3.Numerical Geometry Ltd.CambridgeUK

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