Publication

G1 continuous approximate curves on NURBS surfaces

Bailin Deng
2012
Journal Articles

Abstract

Curves on surfaces play an important role in computer aided geometric design. In this paper, we present a parabola approximation method based on the cubic reparameterization of rational Bezier surfaces, which generates G1 continuous approximate curves lying completely on the surfaces by using iso-parameter curves of the reparameterized surfaces. The Hausdorff distance between the approximate curve and the exact curve is controlled under the user-specified tolerance. Examples are given to show the performance of our algorithm. Crown Copyright (C) 2012 Published by Elsevier Ltd. All rights reserved.

Official source

https://infoscience.epfl.ch/entities/publication/ce9cff90-86c6-48df-aadf-427a5b79c983

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G1 continuous approximate curves on NURBS surfaces

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