Point-normal convexity preserving curve interpolation

IF 3 3区 计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Nikolaos C. Gabrielides , Nickolas S. Sapidis
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引用次数: 0

Abstract

This paper studies the notion of convexity preservation in the context of point-normal interpolation in 2D. It is proved that G1-continuous piecewise generalized cubic curves in tension are always capable of preserving the convexity implied by the data with finite tension parameters. Focus is placed on the variable degree polynomials and it is proved that there always exist a G1-continuous cubic spline that interpolates the data and is also convexity preserving.
保持点法向凸性的曲线插值
本文研究了二维点法插值中凸性保持的概念。证明了g1 -连续分段广义三次张拉曲线总是能够保持有限张拉参数数据所隐含的凸性。重点讨论了变次多项式,证明了总存在一条g1 -连续三次样条插值数据并保持凸性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Computer-Aided Design
Computer-Aided Design 工程技术-计算机:软件工程
CiteScore
5.50
自引率
4.70%
发文量
117
审稿时长
4.2 months
期刊介绍: Computer-Aided Design is a leading international journal that provides academia and industry with key papers on research and developments in the application of computers to design. Computer-Aided Design invites papers reporting new research, as well as novel or particularly significant applications, within a wide range of topics, spanning all stages of design process from concept creation to manufacture and beyond.
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