一类二次三角多项式样条插值曲线及其在计算机图形学中的应用  

A Class of Quadratic Trigonometric Polynomial Spline Interpolation Curves and Their Applications in Computer Graphics

作　　者：张卷美[1] 王成伟[2] Zhang Juanmei;Wang Chengwei(Department of Fundamental Courses,Beijing Electronic Science and Technology Institute,Beijing 100070,China;Department of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 100029,China)

机构地区：[1]北京电子科技学院基础部,北京100070 [2]北京服装学院基础课部,北京100029

出　　处：《北京电子科技学院学报》2017年第2期73-77,共5页Journal of Beijing Electronic Science And Technology Institute

基　　金：北京服装学院2016年教育教学改革立项项目(JG-1624);北京服装学院2016年校级精品课程提升工程立项项目(JPTS-1609).

摘　　要：通过一类二次三角多项式基函数的定义,构造了一类二次三角多项式样条插值曲线,该曲线继承了B样条曲线的一些优良特性。另外,利用形状控制参数可以灵活调节曲线形状,进一步增强了曲线曲面的表现能力。最后实例表明了新的插值曲线应用于几何造型的有效性。Based on the definition of a class of Quadratic trigonometric polynomial basis functions,a class of two trigonometric polynomial spline interpolation curves is constructed,which inherits some of the fine features of a B spline curves.Besides,shape control parameter can be used to adjust the shape of the curves,and further enhance the performance of curves and surfaces.Finally,the examples show the new interpolation curves can be applied to the validity of geometric modeling.

关 键 词：样条曲线 三角多项式 曲线插值 形状参数 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]