切点可调的三阶三角Bézier曲线

Third-order Triangular BézierCurve with Adjustable Tangent Point

在三角函数空间{1,sinv,cosv,sin 2 v}中,以三阶三角Bézier曲线的性质为基础,引入位置参数和形状参数,构造出切点和形状可调的三阶三角Bézier曲线.该曲线在简单条件下G 1连续,并能精确表示椭圆弧和圆弧.

In the trigonometric function space{1,sinv,cosv,sin 2 v},based on the properties of the third-order triangular Bézier curve,position parameters and shape parametersare introduced to construct third-order triangular Bézier curves with adjustable tangent points and shapes.The curve is G 1 continuous under simple conditionsand can accurately represent elliptical arcs and circular arcs.