Filling N-sided holes by combined subdivision schemes
A new method is presented for calculating N-sided surface
patches. The algorithm generates a subdivision surface which
satisfies arbitrary C^1 boundary conditions. The proposed subdivision
scheme is based on a Catmull-Clark type subdivision scheme that operates
in the surface interior. Near the boundary we introduce new subdivision
rules that involve the given boundary conditions. The generated
subdivision surface is C^2-continuous except at one extraordinary point.
In the neighborhood of this point the surface curvature is bounded.
PDF version of the hand-outs I gave in the Saint-Malo conference
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Postscript version of my submission for the conference proceedings
Size of gzipped postscript file: 220 kb
author = "A. Levin",
title = "Filling N-Sided Holes Using Combined Subdivision Schemes",
booktitle = "Curve And Surface Design",
editor = "Pierre-Jean Laurent and Paul Sablonniere and Larry L. Schumaker",
year = 1999,
publisher = "Vanderbilt University Press, Nashville, TN",
pages = "221--228")