Filling N-sided holes by combined subdivision schemes

Abstract

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.

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BiBTeX entry


@inproceedings(AdiLevin:1999:saintmalo:nsided,
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")