Bicubic polar subdivision
Kestutis Karčiauskas, Jörg Peters
In ACM Transactions on Graphics, 26(4), October 2007.
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 in subdivision meshes. The resulting surfaces are C2 except at a finite number of isolated points where the surface is C1 and the curvature is bounded.
Keyword(s): Catmull-Clark, Subdivision, bicubic, curvature continuity, polar layout, polar net
Article URL: http://doi.acm.org/10.1145/1289603.1289605
BibTeX format:
@article{Karciauskas:2007:BPS,
  author = {Kestutis Karčiauskas and Jörg Peters},
  title = {Bicubic polar subdivision},
  journal = {ACM Transactions on Graphics},
  volume = {26},
  number = {4},
  pages = {14:1--14:6},
  month = oct,
  year = {2007},
}
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