﻿ 四次PH曲线C1Hermite插值的一种新方法

# 四次PH曲线C1Hermite插值的一种新方法A New Method for C1Hermite Interpolation of Quartic PH Curve

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.

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