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» Computing Subdivision Surface Intersection
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SGP
2004
13 years 10 months ago
Differentiable Parameterization of Catmull-Clark Subdivision Surfaces
Subdivision-based representations are recognized as important tools for the generation of high-quality surfaces for Computer Graphics. In this paper we describe two parameterizati...
Ioana M. Boier-Martin, Denis Zorin
GMP
2010
IEEE
195views Solid Modeling» more  GMP 2010»
13 years 11 months ago
Construction of Minimal Catmull-Clark's Subdivision Surfaces with Given Boundaries
Minimal surface is an important class of surfaces. They are widely used in the areas such as architecture, art and natural science etc.. On the other hand, subdivision technology h...
Qing Pan, Guoliang Xu
COMPGEOM
2006
ACM
14 years 1 months ago
Complete subdivision algorithms, I: intersection of Bezier curves
We give the first complete subdivision algorithm for the intersection of two Bezier curves F, G, possibly with tangential intersections. Our approach to robust subdivision algori...
Chee-Keng Yap
SIGGRAPH
1998
ACM
13 years 11 months ago
Exact Evaluation of Catmull-Clark Subdivision Surfaces at Arbitrary Parameter Values
In this paper we disprove the belief widespread within the computer graphics community that Catmull-Clark subdivision surfaces cannot be evaluated directly without explicitly subd...
Jos Stam
CAD
2005
Springer
13 years 7 months ago
Subdivision surfaces for CAD - an overview
Subdivision surfaces refer to a class of modelling schemes that define an object through recursive subdivision starting from an initial control mesh. Similar to B-splines, the fin...
Weiyin Ma