Curve interpolation in recursively generated B-spline surfaces over arbitrary topology
Computer Aided Geometric Design
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
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
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This paper reports a generic solution to the problem of constructing Catmull-Clark subdivision surfaces to interpolate arbitrarily intersecting meshes of curves, which is less constrained than already published solutions following this approach. Besides making surface generation more straightforward, the proposed scheme seems to improve the quality of the surface in terms of smoothness at and around extraordinary points. Moreover, the scheme permits the construction in explicit form of a subdivision matrix integrating the interpolation constraints.