CLC number: TP391
On-line Access: 2021-02-01
Received: 2019-07-25
Revision Accepted: 2020-06-27
Crosschecked: 2020-09-16
Cited: 0
Clicked: 4174
Kinga Kruppa. Applying Rational Envelope curves for skinning purposes[J]. Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/FITEE.1900377 @article{title="Applying Rational Envelope curves for skinning purposes", %0 Journal Article TY - JOUR
有理包络线的蒙皮应用Kinga KRUPPA1,2 1德布勒森大学信息学院,匈牙利德布勒森市,H-4028 2德布勒森大学信息博士生院,匈牙利德布勒森市,H-4028 摘要:闵可夫斯基空间中的特殊曲线如闵可夫斯基毕达哥拉斯矢端线,在计算机辅助几何设计中有着重要作用,其应用近年来得到深入研究。Bizzarri等人在2016年介绍了一类有理包络(RE)曲线;提出用于G1 Hermite数据的插值方法,其合成的RE曲线能对所表示的区域生成有理边界。本文提出RE曲线的一类新的应用领域--离散输入圆集的蒙皮。若未选择正确的Hermite数据进行插值,得到的RE曲线将不适合蒙皮。本文介绍一种新颖的方法,按此方法得到的包络曲线能够接触每个圆预定的接触点。因此,我们克服了因接触点位置导致不适合蒙皮的问题。本文所提方法的一个显著优点在于其边界偏移量修剪的效率,这在计算机数控方面非常有用。 关键词组: Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article
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