NDLI: Constructing $G^{1}$ quadratic Bézier curves with arbitrary endpoint tangent vectors

Content Provider	IEEE Xplore Digital Library
Author	He-Jin Gu Jun-Hai Yong Paul, J.-C. Fuhua Cheng
Copyright Year	2009
Description	Author affiliation: INRIA, Le Chesnay Cedex 78153, France (Paul, J.-C.) \|\| Department of Computer Science, University of Kentucky, Lexington, 40506-0046, USA (Fuhua Cheng) \|\| School of Software, Tsinghua University, Beijing 100084, China (Jun-Hai Yong) \|\| Wuhan University of Technology, 430070, China (He-Jin Gu)
Abstract	Quadratic Bézier curves are important geometric entities in many applications. However, it was often ignored by the literature the fact that a single segment of a quadratic Bézier curve may fail to fit arbitrary endpoint unit tangent vectors. The purpose of this paper is to provide a solution to this problem, i.e., constructing $G^{1}$ quadratic Bézier curves satisfying given endpoint (positions and arbitrary unit tangent vectors) conditions. Examples are given to illustrate the new solution and to perform comparison between the $G^{1}$ quadratic Bézier cures and other curve schemes such as the composite geometric Hermite curves and the biarcs.
Starting Page	263
Ending Page	267
File Size	111759
Page Count	5
File Format	PDF
ISBN	9781424436996
DOI	10.1109/CADCG.2009.5246892
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-08-19
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Laboratories Educational technology geometric continuity Quadratic Bézier curve endpoint condition Application software Computer numerical control Information systems smoothness Information security Polynomials Computer science education Computer security National security
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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