Counter examples of “Class A Bézier curves”

Aizeng Wang; Gang Zhao

doi:10.1016/j.cagd.2018.02.001

Counter examples of “Class A Bézier curves”

Aizeng Wang
, Gang Zhao^*

^*此作品的通讯作者

机械工程及自动化学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

In this paper, we discover that the conditions of Class A Bézier curves presented in Farin (2006) are incorrect. We also present counter examples, which have non-monotone curvature but satisfy Farin's conditions.

源语言	英语
页（从-至）	6-8
页数	3
期刊	Computer Aided Geometric Design
卷	61
DOI	https://doi.org/10.1016/j.cagd.2018.02.001
出版状态	已出版 - 3月 2018

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10.1016/j.cagd.2018.02.001

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@article{8b177c70ed2743b8a9c884393ccd997a,

title = "Counter examples of “Class A B{\'e}zier curves”",

abstract = "In this paper, we discover that the conditions of Class A B{\'e}zier curves presented in Farin (2006) are incorrect. We also present counter examples, which have non-monotone curvature but satisfy Farin's conditions.",

keywords = "B{\'e}zier curves, Class A matrices, Curvature, Monotonicity",

author = "Aizeng Wang and Gang Zhao",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

month = mar,

doi = "10.1016/j.cagd.2018.02.001",

language = "英语",

volume = "61",

pages = "6--8",

journal = "Computer Aided Geometric Design",

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T1 - Counter examples of “Class A Bézier curves”

AU - Wang, Aizeng

AU - Zhao, Gang

PY - 2018/3

Y1 - 2018/3

N2 - In this paper, we discover that the conditions of Class A Bézier curves presented in Farin (2006) are incorrect. We also present counter examples, which have non-monotone curvature but satisfy Farin's conditions.

AB - In this paper, we discover that the conditions of Class A Bézier curves presented in Farin (2006) are incorrect. We also present counter examples, which have non-monotone curvature but satisfy Farin's conditions.

KW - Bézier curves

KW - Class A matrices

KW - Curvature

KW - Monotonicity

UR - https://www.scopus.com/pages/publications/85042218666

U2 - 10.1016/j.cagd.2018.02.001

DO - 10.1016/j.cagd.2018.02.001

M3 - 文章

AN - SCOPUS:85042218666

SN - 0167-8396

VL - 61

SP - 6

EP - 8

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

ER -

Counter examples of “Class A Bézier curves”

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