Interpolating nets of curves by smooth subdivision surfaces
Abstract
A subdivision algorithm is presented for
the computation and representation of a
smooth surface of arbitrary topological type interpolating a given net
of smooth curves.
The algorithm belongs to a new class of subdivision schemes called
combined subdivision schemes.
These schemes can exactly interpolate a net of curves given
in any parametric representation.
The surfaces generated by our algorithm are G^2 except at a finite
number of points, where the surface is G^1 and has bounded curvature.
The algorithm is simple and easy to implement, and is based on
a variant of the famous CatmullClark subdivision scheme.
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BiBTeX entry
@inproceedings(AdiLevin:1999:sig99:intnets,
author = "A. Levin",
title = "Interpolating Nets of Curves by Smooth Subdivision Surfaces",
booktitle = "Proceedings of SIGGRAPH 99, Computer Graphics Proceedings, Annual Conference Series",
year = 1999,
pages = "5764")