标题:
四次PH曲线C1Hermite插值的一种新方法A New Method for C1Hermite Interpolation of Quartic PH Curve
作者:
高晖, 寿华好, 缪永伟, 王丽萍
关键字:
Bézier曲线, PH曲线, Hermite插值Bézier Curve; PH Curve; Hermite Interpolation
期刊名称:
《Computer Science and Application》, Vol.3 No.7, 2013-10-31
摘要:
通过使用参数曲线的复数表示形式给出了求解四次PH曲线插值的一个新定理，找到了五个控制顶点的内在关系式，优点是形式上非常简洁且可直接求得参数曲线，从而简化了计算，使得四次PH曲线更加方便应用于各工业产品设计及加工领域。By means of complex representation of parametric curve, a new theorem for C1Hermite interpolation of quartic PH curve is proposed, and an intrinsic relationship between five control points of a quartic PH curve is estab- lished. The advantage of this representation is that the form is very simple and it can be used to calculate the quartic PH curve directly. Therefore, the calculation is greatly simplified, which makes the quartic PH curve more easily be applied to industrial product design and manufacture.