Differentiable parameterization of Catmull-Clark subdivision surfaces

Ioana Boier-Martin, Denis Zorin

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

Abstract

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
Pages155-164
Number of pages10
Volume71
DOIs
StatePublished - 2004
Event2nd Symposium on Geometry Processing, SGP 2004 - Nice, France
Duration: Jul 8 2004Jul 10 2004

Other

Other2nd Symposium on Geometry Processing, SGP 2004
CountryFrance
CityNice
Period7/8/047/10/04

Fingerprint

Parameterization
Derivatives
Computer graphics
Splines
Surface properties
Computer aided design

ASJC Scopus subject areas

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

Cite this

Boier-Martin, I., & Zorin, D. (2004). Differentiable parameterization of Catmull-Clark subdivision surfaces. In SGP 2004 - Symposium on Geometry Processing (Vol. 71, pp. 155-164) https://doi.org/10.1145/1057432.1057453

Differentiable parameterization of Catmull-Clark subdivision surfaces. / Boier-Martin, Ioana; Zorin, Denis.

SGP 2004 - Symposium on Geometry Processing. Vol. 71 2004. p. 155-164.

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

Boier-Martin, I & Zorin, D 2004, Differentiable parameterization of Catmull-Clark subdivision surfaces. in SGP 2004 - Symposium on Geometry Processing. vol. 71, pp. 155-164, 2nd Symposium on Geometry Processing, SGP 2004, Nice, France, 7/8/04. https://doi.org/10.1145/1057432.1057453
Boier-Martin I, Zorin D. Differentiable parameterization of Catmull-Clark subdivision surfaces. In SGP 2004 - Symposium on Geometry Processing. Vol. 71. 2004. p. 155-164 https://doi.org/10.1145/1057432.1057453
Boier-Martin, Ioana ; Zorin, Denis. / Differentiable parameterization of Catmull-Clark subdivision surfaces. SGP 2004 - Symposium on Geometry Processing. Vol. 71 2004. pp. 155-164
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