Differentiable parameterization of Catmull-Clark subdivision surfaces

Ioana Boier-Martin, Denis Zorin

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Subdivision-based representations are recognized as important tools for the generation of high-quality surfaces for Computer Graphics. In this paper we describe two parameterizations of Catmull-Clark subdivision surfaces that allow a variety of algorithms designed for other types of parametric surfaces (i.e., B-splines) to be directly applied to subdivision surfaces. In contrast with the natural parameterization of subdivision surfaces characterized by diverging first order derivatives around extraordinary vertices of valence higher than four, the derivatives associated with our proposed methods are defined everywhere on the surface. This is especially important for Computer-Aided Design (CAD) applications that seek to address the limitations of NURBS-based representations through the more flexible subdivision framework.

Original languageEnglish (US)
Title of host publicationSGP 2004 - Symposium on Geometry Processing
Number of pages10
StatePublished - 2004
Event2nd Symposium on Geometry Processing, SGP 2004 - Nice, France
Duration: Jul 8 2004Jul 10 2004

Publication series

NameACM International Conference Proceeding Series


Other2nd Symposium on Geometry Processing, SGP 2004

ASJC Scopus subject areas

  • Software
  • Human-Computer Interaction
  • Computer Vision and Pattern Recognition
  • Computer Networks and Communications


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