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带形状参数的指数均匀B样条模型 被引量:3

Exponential Uniform B-Spline with Shape Parameter
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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。 A new model of k(k≥2)order exponential uniform B-spline with shape parameter is giverL 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.
出处 《计算机科学》 CSCD 北大核心 2008年第2期238-241,共4页 Computer Science
基金 国家自然科学基金资助项目(60273035)
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 Exponential uniform B-spline with shape parameter, Uniform B-pline, CAGD
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