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带形状参数的指数均匀B样条模型
Exponential Uniform B-Spline with Shape Parameter
【摘要】 本文给出了k(k≥2)阶带形状参数指数多项式的均匀B样条模型。该类模型具有很多与B样条模型相同的性质,并且具有一个可调节的形状参数。由该模型构造的曲线,通过改变形状参数的取值,可以调整曲线接近其控制多边形的程度。该模型可以应用于CAD/CAM领域,作为几何造型一种新的有效模型。
【Abstract】 A new model of k(k≥2)order exponential uniform B-spline with shape parameter is given.Most of its properties similar to those of the B-spline model,and also it has a shape parameter.The spline curves which are constructed by the exponential uniform B-spline with shape parameter can adjust the curve’s shape and the degrees between the curve and its control polygon with changing the parameter value.The new model can be applied to the field of CAD/CAM.[JP
【关键词】 带形状参数指数均匀B样条;
均匀B样条;
计算机辅助几何设计;
【Key words】 Exponential uniform B-spline with shape parameter; Uniform B-pline; CAGD;
【Key words】 Exponential uniform B-spline with shape parameter; Uniform B-pline; CAGD;
【基金】 国家自然科学基金资助项目(60273035)
- 【文献出处】 计算机科学 ,Computer Science , 编辑部邮箱 ,2008年02期
- 【分类号】TP301
- 【被引频次】8
- 【下载频次】132