Shape reconstruction from planar cross sections
Computer Vision, Graphics, and Image Processing
Skinning techniques for interactive B-spline surface interpolation
Computer-Aided Design
Arbitrary topology shape reconstruction from planar cross sections
Graphical Models and Image Processing
Non-uniform recursive subdivision surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interpolating nets of curves by smooth subdivision surfaces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Recursive subdivision of polygonal complexes and its applications in computer-aided geometric design
Computer Aided Geometric Design
ACM SIGGRAPH 2003 Papers
Analysis and application of subdivision surfaces
Analysis and application of subdivision surfaces
Lofting curve networks using subdivision surfaces
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Generating subdivision surfaces from profile curves
Computer-Aided Design
Reconstruction of Branching Surface and Its Smoothness by Reversible Catmull-Clark Subdivision
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
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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.