The cubic trigonometric Bézier curve with two shape parameters

The cubic trigonometric Bézier curve with two shape parameters
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DOI：
10.1016/j.aml.2008.03.015
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发表时间：
2009-02
期刊：
Appl. Math. Lett.
影响因子：
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通讯作者：
Xiaocong Han;YiChen Ma;XiLi Huang
Xiaocong Han;YiChen Ma;XiLi Huang
中科院分区：
其他
文献类型：
--
作者：
Xiaocong Han;YiChen Ma;XiLi Huang

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本文提出了一种类似于三次Bézier曲线的三次三角Bézier曲线，它具有两个形状参数。曲线的形状可以通过改变形状参数的值来调整，而控制多边形保持不变。利用形状参数，可以使三次三角Bézier曲线更接近于三次Bézier曲线或比三次Bézier曲线更接近于给定的控制多边形。椭圆可以用三次三角贝塞尔曲线精确表示。
A cubic trigonometric Bézier curve analogous to the cubic Bézier curve, with two shape parameters, is presented in this work. The shape of the curve can be adjusted by altering the values of shape parameters while the control polygon is kept unchanged. With the shape parameters, the cubic trigonometric Bézier curves can be made close to the cubic Bézier curves or closer to the given control polygon than the cubic Bézier curves. The ellipses can be represented exactly using cubic trigonometric Bézier curves.