Differentiable Parameterization of Catmull-Clark Subdivision Surfaces

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dc.contributor.authorBoier-Martin, Ioanaen_US
dc.contributor.authorZorin, Denisen_US
dc.contributor.editorRoberto Scopigno and Denis Zorinen_US
dc.date.accessioned2014-01-29T09:19:51Z
dc.date.available2014-01-29T09:19:51Z
dc.date.issued2004en_US
dc.description.abstractSubdivision-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.en_US
dc.description.seriesinformationSymposium on Geometry Processingen_US
dc.identifier.isbn3-905673-13-4en_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP04/159-168en_US
dc.publisherThe Eurographics Associationen_US
dc.titleDifferentiable Parameterization of Catmull-Clark Subdivision Surfacesen_US
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SGP04: Eurographics Symposium on Geometry Processing