On convexity of planar curves and its application in CAGD

C. Liu; C.R. Traas

doi:10.1016/S0167-8396(96)00055-6

On convexity of planar curves and its application in CAGD

C. Liu, C.R. Traas

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

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Abstract

This paper presents a necessary and sufficient condition for global convexity of planar curves and some applications of this condition. In addition, various ideas about the concept of convexity in CAGD are discussed.

Original language	Undefined
Pages (from-to)	653-669
Number of pages	17
Journal	Computer aided geometric design
Volume	14
Issue number	14
DOIs	https://doi.org/10.1016/S0167-8396(96)00055-6
Publication status	Published - 1997

Keywords

Parametric curves
Supporting lines
Open or closed curves
METIS-140451
Global convexity
Convexity preserving
Local convexity
IR-29817

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10.1016/S0167-8396(96)00055-6

Liu97convexity
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Cite this

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title = "On convexity of planar curves and its application in CAGD",

abstract = "This paper presents a necessary and sufficient condition for global convexity of planar curves and some applications of this condition. In addition, various ideas about the concept of convexity in CAGD are discussed.",

keywords = "Parametric curves, Supporting lines, Open or closed curves, METIS-140451, Global convexity, Convexity preserving, Local convexity, IR-29817",

author = "C. Liu and C.R. Traas",

year = "1997",

doi = "10.1016/S0167-8396(96)00055-6",

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T1 - On convexity of planar curves and its application in CAGD

AU - Liu, C.

AU - Traas, C.R.

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AB - This paper presents a necessary and sufficient condition for global convexity of planar curves and some applications of this condition. In addition, various ideas about the concept of convexity in CAGD are discussed.

KW - Parametric curves

KW - Supporting lines

KW - Open or closed curves

KW - METIS-140451

KW - Global convexity

KW - Convexity preserving

KW - Local convexity

KW - IR-29817

U2 - 10.1016/S0167-8396(96)00055-6

DO - 10.1016/S0167-8396(96)00055-6

M3 - Article

VL - 14

SP - 653

EP - 669

JO - Computer aided geometric design

JF - Computer aided geometric design

SN - 0167-8396

IS - 14

ER -