Title
Skinning Catmull-Clark subdivision surfaces with incompatible cross-sectional curves
Abstract
One of the major problems in the generation of skinning B-spline surfaces is the incompatibility of the cross-sectional curves. This occurs when the cross sections are defined by control polygons having different number of control vertices. Traditionally, this incompatibility problem is overcome by knot insertion that makes all control polygons have equal number of vertices. The drawback of this solution is that it can very quickly lead to an explosion in the number of vertices of the control mesh defining the skinning surface. In this paper, we show that this problem can be rectified through the use of subdivision surfaces. We describe an approach to generate a skinning Catmull-Clark subdivision surface through incompatible cross-sections of cubic B-spline curves. The resulting surface has all the properties of subdivision surfaces while requiring a smaller number of control points than those obtained through the more conventional techniques.
Year
DOI
Venue
2003
10.1109/PCCGA.2003.1238252
Pacific Conference on Computer Graphics and Applications
Keywords
Field
DocType
CAD,computational geometry,rendering (computer graphics),solid modelling,splines (mathematics),B-spline surfaces,Catmull-Clark subdivision surfaces,control mesh,cross curvature,cross-sectional curves,cubic B-spline curves,curve interpolation,knot insertion,recursive subdivision,surface lofting,surface skinning
B-spline,Skinning,Polygon,Vertex (geometry),Computer science,Computational geometry,Subdivision surface,Geometry,Knot (unit),Catmull–Clark subdivision surface
Conference
ISBN
Citations 
PageRank 
0-7695-2028-6
7
0.58
References 
Authors
8
3
Name
Order
Citations
PageRank
Ahmad H. Nasri1430121.97
Abdulwahed Abbas2152.20
Hasbini, I.370.58