Constructing G quadratic Bézier curves with arbitrary endpoint tangent vectors

نویسنده

  • He-Jin Gu
چکیده

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 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 quadratic Bézier cures and other curve schemes such as the composite geometric Hermite curves and the biarcs.

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تاریخ انتشار 2009