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基于四次方的自由曲线拼接算法
引用本文:史锡芬,张忠能,林意.基于四次方的自由曲线拼接算法[J].计算机应用与软件,2008,25(7).
作者姓名:史锡芬  张忠能  林意
作者单位:1. 无锡商业职业技术学院现代教育技术中心,江苏,无锡,214063
2. 上海交通大学计算机科学与工程系,上海,200030
3. 江南大学信息工程学院,江苏,无锡,214063
摘    要:针对AutoCAD、CAXA等软件中的曲线造型问题:当型值点较多时,需绘制的曲线随着鼠标变化时会发生闪烁,有时甚至会出现死机的现象,依据有关"光顺性"的原理,采用了分段拼接曲线的方法,并选取了四次样条曲线方程.经仔细推算和编程实验证明:本算法避免了反求运算,拼接速度快;由于采用的是四次样条曲线,其光顺性的取法更合理,因此,曲线的光顺性比过去的做法更好,同时,在CAD上能直接应用.

关 键 词:曲线拼接  四次样条函数  拼接算法

CONTINUITY ALGORITHM FOR FREE CURVES BASED ON QUARTIC SPLINE EQUATION
Shi Xifen,Zhang Zhongneng,Lin Yi.CONTINUITY ALGORITHM FOR FREE CURVES BASED ON QUARTIC SPLINE EQUATION[J].Computer Applications and Software,2008,25(7).
Authors:Shi Xifen  Zhang Zhongneng  Lin Yi
Affiliation:Shi Xifen1 Zhang Zhongneng2 Lin Yi31(Modern Educational Technology Center,Wuxi Institute of Commerce,Wuxi 214063,Jiangsu,China)2(Department of Computer Science , Engineering,Shanghai Jiaotong University,Shanghai 200030,China)3(College of Information Engineering,Jiangnan University,China)
Abstract:This paper focuses on the curve modelling problem in software of AutoCAD,CAXA,etc.If there are too many data points,the curves which are to be drawn will twinkle along with the mouse moving,sometimes even cause computer's deadlock.In order to overcome this problem,the author offered a method of joining free curves sectionally according to fairness principle through the selected quartic spline curve equation.By careful calculating,the programming experiment shows that the algorithm does not need the converse...
Keywords:Uniting free curves Quartic spline function Continuity algorithm  
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