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.
出处
《许昌学院学报》
CAS
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)
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
trigonometric basis functions
uniform B-spline curves
trigonometric B-spline curves
geometric method
