列表点双圆弧样条曲线拟合计算法  

Approximation caculation of discrete data by arc splines

作　　者：钱一晨[1] 陈虎娣[2] 

机构地区：[1]上海理工大学能源与动力工程学院热能与动力工程系,上海200093 [2]中国电子科技集团公司第五十研究所,上海200063

出　　处：《机械研究与应用》2012年第3期19-22,26,共5页Mechanical Research & Application

摘　　要：在编程数控铣床加工程序过程中,经常会遇到列表点曲线零件。处理这些列表点数据,以圆弧去逼近,必须掌握双圆弧样条曲线拟合法。重点阐述了对若干个列表点给出的曲线,选择一个插值方程(三次参数样条函数)求得两个相邻的型值点及其一阶导数,完成对于曲线轮廓的描述并同时求出需要的插值点,再利用两个彼此相切的圆弧有无拐点的两种情况来拟合相邻两点间的函数曲线。用圆弧逼近插值时,要进行适当的数学处理。In the process of CNC milling machine program, it is common to see parts of discrete data curve. These relevant solutions must be mastered when we have to cope with these discrete data and approach with arcs. Approximation of discrete data by arc splints is the common circulation method. As for the curve provided by several list of points, choosing an interpolation equation （Ferguson Function） is to obtain the two adjacent data points and its first derivative, the description of the profile of the curve is accomplished, and the necessary interpolation points are circulated, then the two tangent are is taken to fit function curve of the two adjacent points which can be classified to the two situations whether exist knee points. Appropriate mathematical treatments are needed when circular interpolation approximation is conducted.

关 键 词：列表点(型值点) 三次参数样条函数(Ferguson) 插值 双圆弧拟合 

分 类 号：TH123[机械工程—机械设计及理论]