非均匀自然路径距离参数的样条插值  

SPLINE FUNCTIONS WITH PARAMETER OF NON UNIFORM PATH DISTANCE

作　　者：沈冯强[1] 

机构地区：[1]合肥工业大学建筑工程系

出　　处：《合肥工业大学学报（自然科学版）》1999年第3期5-9,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家教委留学回国人员科研启动基金

摘　　要：提出用非均匀自然路径距离参数的三次样条函数近似表示任意曲线。这里三次样条函数中参数几何意义是沿曲线路径单调增长的距离。这种插值曲线的优点是容易按距离对插值后的曲线作任意分割。文中所附算例表明非均匀自然路径距离参数的三次样条函数的曲线表示是有效可行的。A method is proposed to approximate arbitrary curves by spline functions with parameter of non uniform path distance.The geometric meaning of the parameter is the mono increasing distance along the curve path.The advantage of the proposed spline functions is easy splitting of given curves according to the curve path distance.The examples presented in this paper have proved that the spline functions with parameter of non uniform path distance is a practical and efficient method for interpolation or appoximation in curve representation.

关 键 词：样条插值 样条函数 非均匀路径距离 参数曲线 

分 类 号：O24[理学—计算数学] TP391.41[理学—数学]