一种二次三角B样条曲线的性质  

Properties of Quadratic Trigonometric B-spline Curves

作　　者：宋永志[1] 

机构地区：[1]许昌学院数学与统计学院,河南许昌461000

出　　处：《许昌学院学报》2014年第5期7-10,共4页Journal of Xuchang University

基　　金：国家自然科学基金项目(11271060);国家青年基金项目(10801024)

摘　　要：利用构造样条基函数的方法得到了一组三角基函数,讨论了这组三角基函数的性质,用这组基得到了一种新的二次三角B样条曲线,并使用研究均匀B样条的方法探讨了这种二次三角曲线,给出了二次三角B样条曲线的一些性质.In this paper, a set of trigonometric basis functions is obtained via the method of creating spline basis functions, and the properties of this set of trigonometric basis functions is further analyzed. Then, a kind of new quadratic trigonometric B-spline curves is obtained via this set of trigonometric basis functions. This new kind of quadratic trigonometric B-spline curves is further studied with the method employed in the study of uniform Bspline. At last, some properties of this kind of new quadratic trigonometric B-spline curves are formulated.

关 键 词：三角基函数 均匀B样条 二次三角B样条曲线 几何造型 

分 类 号：O186.11[理学—数学]