一种基于拟合二阶导数曲线的光顺算法  

A Method for Smoothing of Curves Based on Fitting the Derivative of Second Order of Curves

作　　者：戴霞[1] 彭国华[2] 叶正麟[2] 张军[1] 

机构地区：[1]西华大学计算机与数理学院,成都610039 [2]西北工业大学应用数学系,西安710072

出　　处：《计算机工程与应用》2005年第33期86-90,114,共6页Computer Engineering and Applications

摘　　要：论文针对目前曲线光顺算法存在的问题,提出在小挠度情况下的利用曲线二阶导数平滑程度来判断曲线光顺性的准则,并在此基础上提出了一种采用最小二乘法来拟合曲线型值点列的二阶差商曲线,然后通过两次积分来反求出光顺曲线思想的曲线光顺算法,并给出了实际的算例来说明该算法的优越性。文中讨论了该方法的误差上界,从而能有效地控制算法在进行光顺时对曲线型值点的移动范围。This paper presents a new method for smoothing of curves based on fitting the derivative of second order of curves.First,We present that the second order of curves can represent the smoothing of the curves with small flexibility. On this foundation,we fit the derivative of second order of curves by a polynomial fitting,then find an indefinite integral of this polynomial to get an approach of curves.The range of error will be presented in this paper to control the range of moving to points of curves easily.

关 键 词：光顺 曲线拟合 二阶导数 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]