Cē subdivision over triangulations with one
extraordinary point
Computer Aided Geometric Design
Volume 23, Issue 2 , February 2006, Pages 157-178.
Abstract
This paper presents a new subdivision scheme that operates over
an infinite triangulation, which is regular except for a single extraordinary
vertex. The scheme is based on the quartic three-directional Box-spline scheme,
and is guaranteed to generate C^2 limit functions whenever the valency n of the
extraordinary vertex is in the range 4 <= n <= 20. The new scheme differs
from the commonly used subdivision schemes by the fact that it applies special
subdivision rules near edges of the original triangulation, which emanate from
the extraordinary vertex, and not only in the vicinity of the extraordinary
vertex.
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BiBTeX entry
@article(ZultiLevinLevinTeicher:C2sbd,
author =
"A. Zulti and A. Levin and D. Levin and M. Teicher",
title = "$C^2$
subdivision over triangulations with one extraordinary point",
year =
"2006",
journal = "Computer Aided Geometric Design",
volume = "23",
month = "february",
number = "2",
pages = "157--178")