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分段三次NURBS曲线及其折线集逼近插值算法
引用本文:谭正华,Yang Huixian,汤安平. 分段三次NURBS曲线及其折线集逼近插值算法[J]. 计算机应用与软件, 2008, 25(8)
作者姓名:谭正华  Yang Huixian  汤安平
作者单位:湘潭大学材料与光电物理学院,湖南,湘潭,411105
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.

关 键 词:NURBS曲线  系数矩阵  离散  折线集  逼近

PIECEWISE CUBIC NURBS CURVE AND ITS INTERPOLATING ALGORITHM FOR APPROXIMATING WITH DISCRETE BROKEN-LINE SET
Tan Zhenghua,Yang Huixian,Tang Anping. PIECEWISE CUBIC NURBS CURVE AND ITS INTERPOLATING ALGORITHM FOR APPROXIMATING WITH DISCRETE BROKEN-LINE SET[J]. Computer Applications and Software, 2008, 25(8)
Authors:Tan Zhenghua  Yang Huixian  Tang Anping
Affiliation:Tan Zhenghua Yang Huixian Tang Anping(Faculty of Material , Photoelectronic Physics,Xiangtan University,Xiangtan 411105,Hunan,China)
Abstract:
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.
Keywords:NURBS curve Coefficient matrix Discrete Broken-line set Approximate  
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