参数曲线近似弧长参数化的三角函数方法

NEARLY ARC-LENGTH PARAMETERIZATION INTERPOLATION BASED ON THE TRIGONOMETRIC FUNCTION

本文描述了一种局部的近似孤长参数化插值方法,用三角函数对曲线的孤长函数进行分段逼近,段与段之间是相互独立的。

This paper presents an interpolation for nearly arc -length parameterization based on the trigonometric function. The arc -length function of parametric curve is monotonic increasing, the monotonity preserving approximating function based on trigonometric function for the arc-length function is derived. Theresulting nearly arc -length parametrization curve interpolates a set of points of original curve,and the arc-length of the curve is accurate at each of this set of points.