Boundary algorithms for subdivision surfaces

Abstract

In this paper we construct non-uniform bi-variate subdivision schemes that generate surfaces satisfying prescribed boundary conditions. Such a scheme is based on a known uniform subdivision scheme that operates away from the boundary, combined with another subdivision scheme that operates near the boundary, and takes into consideration the given boundary conditions. We formulate conditions to establish the smoothness of the generated limit surface near the boundary, and apply our algorithms for the construction of smooth surfaces with boundaries of arbitrary topology.
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BiBTeX entry


@inproceedings(AdiLevin:1998:ikconf:bnd-alg,
author = "A. Levin",
title = "Boundary algorithms for subdivision surfaces",
booktitle = "Israel-Korea Bi-National Conference on New Themes in Computerized Geometrical Modeling",
year = 1998,
pages = "117--121")