Yang, Yi-JunZeng, WeiYang, Cheng-LeiMeng, Xiang-XuYong, Jun-HaiDeng, Bailin2012-07-202012-07-202012-07-20201210.1016/j.cad.2012.04.004https://infoscience.epfl.ch/handle/20.500.14299/84041WOS:000305858700002Curves 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.ApproximationCurves on surfacesReparameterizationParabolaB-Spline CurvesComputationAlgorithmtext::journal::journal article::research article