四次PH曲线C1Hermite插值的一种新方法
A New Method for C1Hermite Interpolation of Quartic PH Curve
DOI: 10.12677/CSA.2013.37A002, PDF, 下载: 2,530  浏览: 4,892  国家自然科学基金支持
作者: 高晖, 寿华好*：浙江工业大学理学院，杭州；缪永伟：浙江工业大学计算机科学与技术学院，杭州；王丽萍：浙江工业大学经贸管理学院，杭州
关键词: Bézier曲线；PH曲线；Hermite插值；Bézier Curve; PH Curve; Hermite Interpolation
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。

Abstract: 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.
文章引用：高晖, 寿华好, 缪永伟, 王丽萍. 四次PH曲线C1Hermite插值的一种新方法[J]. 计算机科学与应用, 2013, 3(7): 6-11. http://dx.doi.org/10.12677/CSA.2013.37A002

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