@inproceedings{57493732816b41bca3fecae6ee90f9f0,
title = "Constructing G1 quadratic Be{\'z}ier curves with arbitrary endpoint tangent vectors",
abstract = "Quadratic B{\'e}zier 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 B{\'e}zier 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 G1 quadratic B{\'e}zier 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 G1 quadratic B{\'e}zier cures and other curve schemes such as the composite geometric Hermite curves and the biarcs.",
keywords = "Endpoint condition, Geometric continuity, Quadratic be{\'z}ier curve, Smoothness",
author = "Gu, {He Jin} and Yong, {Jun Hai} and Paul, {Jean Claude} and Cheng, {Fuhua Frank}",
year = "2009",
doi = "10.1109/CADCG.2009.5246892",
language = "English",
isbn = "9781424437009",
series = "Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009",
pages = "263--267",
booktitle = "Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009",
note = "2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009 ; Conference date: 19-08-2009 Through 21-08-2009",
}