分段三次NURBS曲线及其折线集逼近插值算法  

PIECEWISE CUBIC NURBS CURVE AND ITS INTERPOLATING ALGORITHM FOR APPROXIMATING WITH DISCRETE BROKEN-LINE SET

作　　者：谭正华[1] 杨恢先[1] 汤安平[1] 

机构地区：[1]湘潭大学材料与光电物理学院,湖南湘潭411105

出　　处：《计算机应用与软件》2008年第8期248-250,258,共4页Computer Applications and Software

基　　金：湖南省教育厅一般项目(04C677)

摘　　要：利用系数矩阵提出了分段三次NURBS曲线计算方法,该算法能保持曲线的整体光滑,达到C2连续。采用始末端端点条件抛物线处理方法和精度可控折线集逼近算法,将其应用于实平面插值曲线的生成上。实例表明了该方法的有效性。An algorithm for piecewise cubic NURBS curve is proposed using coefficient matrix,it aims at maintaining the smoothness of the resulting curve with C2 continuity. Considering a parabola disposal method with start-terminal point condition, it can make real plane interpolating curves using the approximating arithmetic of precision controlled broken-line set. Experimental result shows that the proposed method is effective.

关 键 词：NURBS曲线 系数矩阵 离散 折线集 逼近 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] TP391.41[自动化与计算机技术—计算机科学与技术]