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Abstract | |||||||||||||||||
| We describe and analyze a subdivision scheme that generalizes bicubic spline subdivision to control nets with polar structure. Such control nets appear naturally for surfaces with the combinatorial structure of objects of revolution and at points of high valence when combined with Catmull-Clark subdivision. The resulting surfaces are C 2 except at isolated extraordinary points where the surface is C 1 and the curvature is bounded. | |||||||||||||||||
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