基于几何方法的曲率单调Bézier曲线的一个充分必要准则

Aizeng Wang; Chuan He; Gang Zhao; Huixia Xu

doi:10.3724/SP.J.1089.2019.17631

基于几何方法的曲率单调Bézier曲线的一个充分必要准则

Aizeng Wang
, Chuan He
, Gang Zhao^*
, Huixia Xu

^*此作品的通讯作者

机械工程及自动化学院

Beihang University
Zhejiang Wanli University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

In this paper, we present and prove a sufficient and necessary condition for the monotone curvature of a class of Bézier curves. The point is to repeatedly scale and rotate the previous control edge of Bézier curves to obtain the latter control edge. Several examples are given to show the application of the proposed method.

投稿的翻译标题	A Sufficient and Necessary Criterion for Curvature Monotone Bézier Curves
源语言	繁体中文
页（从-至）	1617-1621
页数	5
期刊	Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics
卷	31
期	9
DOI	https://doi.org/10.3724/SP.J.1089.2019.17631
出版状态	已出版 - 1 9月 2019

关键词

Bézier curves
Monotone curvature
Transition curve

访问文件

10.3724/SP.J.1089.2019.17631

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链接到 Scopus 的出版物

引用此

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abstract = "In this paper, we present and prove a sufficient and necessary condition for the monotone curvature of a class of B{\'e}zier curves. The point is to repeatedly scale and rotate the previous control edge of B{\'e}zier curves to obtain the latter control edge. Several examples are given to show the application of the proposed method.",

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AU - Wang, Aizeng

AU - He, Chuan

AU - Zhao, Gang

AU - Xu, Huixia

PY - 2019/9/1

Y1 - 2019/9/1

N2 - In this paper, we present and prove a sufficient and necessary condition for the monotone curvature of a class of Bézier curves. The point is to repeatedly scale and rotate the previous control edge of Bézier curves to obtain the latter control edge. Several examples are given to show the application of the proposed method.

AB - In this paper, we present and prove a sufficient and necessary condition for the monotone curvature of a class of Bézier curves. The point is to repeatedly scale and rotate the previous control edge of Bézier curves to obtain the latter control edge. Several examples are given to show the application of the proposed method.

KW - Bézier curves

KW - Monotone curvature

KW - Transition curve

UR - https://www.scopus.com/pages/publications/85074448696

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SN - 1003-9775

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JO - Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics

JF - Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics

IS - 9

ER -

基于几何方法的曲率单调Bézier曲线的一个充分必要准则

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