曲率连续保凸插值三次Bézier曲线设计

Cubic Bézier Interpolation with Curvature Continuous and Convexity-preserving Properties

讨论实现曲率连续的三次Bezier保凸插值曲线局部性设计方法,证明了两端切线平行或其夹角大于180°时 解仍然存在.通过计算实例说明该方法适宜于对曲线进行交互设计.

A local method for constructing cubic Bézier curves, which are curvature contiunous, convexity-preserving and interpolation given data points, tangent lines and curvatures, is presented. The method is still valid in the case that the tangent lines at two endpoints are parallel or that the angle between the two tangent lines is great than 180°. An example is designed to show that this method is suitable for curve designation.