一种构造任意类三次三角曲线的方法  

A Method for Constructing Arbitrary Quasi-cubic Trigonometric Curves

作　　者：李军成[1] 

机构地区：[1]湖南人文科技学院数学系,湖南娄底417000

出　　处：《小型微型计算机系统》2011年第7期1441-1445,共5页Journal of Chinese Computer Systems

摘　　要：在自由曲线曲面造型中,一般多以多项式为基函数构造参数曲线曲面,而在三角函数空间中也能构造参数曲线曲面.给出了一种构造任意类三次三角参数曲线的方法,该法以三次多项式曲线的基本性质为基础,从而构造出的曲线与对应的三次多项式曲线具有几乎完全相似的性质,而且所构造的曲线能精确表示圆弧、椭圆弧、抛物线弧等二次曲线,为曲线曲面造型提供了一种新方法.In free curves and surfaces modeling, polynomials are usually employed as the basic functions. However, free curves and surfaces also could be constructed by the space of trigonometric functions. A method of constructing arbitrary quasi-cubic trigonometric curves is present in this paper. The method is based on properties of the cubic polynomial curves, so the quasi-cubic trigonometric curves retain the main superiority of cubic polynomial curves, and they can represent the arc of circle, arc of ellipse, arc of parabola and other quadratic curves, which presents a new method for curves and surfaces modeling.

关 键 词：曲线曲面造型 三次多项式曲线 三角函数 类三次三角曲线 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]