Combined subdivision schemes for the design of surfaces satisfying boundary conditions

Abstract

We present a new kind of subdivision schemes, which we call combined subdivision schemes. Such schemes are used to refine a given control net, taking into consideration boundary conditions on the limit surface. Several scheme are presented that generate limit surfaces interpolating given boundary curves and cross boundary derivatives. The interpolated boundary curves are arbitrary parametric curves, and are not restricted to subdivision curves or to spline curves.
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BiBTeX entry


@article(AdiLevin:1999:cagd:css-bnd,
author = "A. Levin",
title = "Combined subdivision schemes for the design of surfaces satisfying boundary conditions",
Journal = "Computer Aided Geometric Design",
pages = "345-354",
year = 1999,
volume = "16(5)")