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

Translated title of the contribution: A Sufficient and Necessary Criterion for Curvature Monotone Bézier Curves

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

^*Corresponding author for this work

School of Mechanical Engineering and Automation

Beihang University
Zhejiang Wanli University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Translated title of the contribution	A Sufficient and Necessary Criterion for Curvature Monotone Bézier Curves
Original language	Chinese (Traditional)
Pages (from-to)	1617-1621
Number of pages	5
Journal	Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics
Volume	31
Issue number	9
DOIs	https://doi.org/10.3724/SP.J.1089.2019.17631
State	Published - 1 Sep 2019

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10.3724/SP.J.1089.2019.17631

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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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author = "Aizeng Wang and Chuan He and Gang Zhao and Huixia Xu",

year = "2019",

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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

U2 - 10.3724/SP.J.1089.2019.17631

DO - 10.3724/SP.J.1089.2019.17631

M3 - 文章

AN - SCOPUS:85074448696

SN - 1003-9775

VL - 31

SP - 1617

EP - 1621

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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