一类二次TC-Bézier曲线的研究  

Study on a class of quadratic TC-Bézier curve

作　　者：陈素根[1] 苏本跃[2] 黄有度[3] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246133 [2]安庆师范学院计算机与信息学院,安徽安庆246133 [3]合肥工业大学数学系,安徽合肥230009

出　　处：《计算机工程与设计》2009年第18期4350-4352,4355,共4页Computer Engineering and Design

基　　金：安徽省教育厅自然科学基金项目(2006KJ252B);安庆市科技计划基金项目(2003-48)

摘　　要：定义了一组带有两个形状参数的三角基函数,并基于四点定义了一类二次TC-Bézier曲线,分析了基函数及曲线的性质。在-1≤λ1,λ2≤1范围内,通过参数变化可以很方便的调控曲线的形状,并且可以精确表示直线段、椭圆(圆)弧及抛物线。最后讨论了曲线在C1连续下的拼接及其应用,实例表明,定义的曲线更有利于曲线设计。A class of trigonometric basis functions with two shape control parameters is presented, and the corresponding trigonometric curve with two shape parameters is defined, the property of basis functions and TC-Bézier curve is also analyzed. When -1≤λ1,λ2≤1, the shape of curve can be controlled easily by changing with parameters. The straight line segment, ellipse （circular） and parabola are can be represented exactly by TC-Bézier curve. At last, the C^1 continuous joint of curve pieces is discussed and the example illustrates the TC-Bézier curve is useful in curve design.

关 键 词：计算机应用 TC-Bézier曲线 形状参数 曲线设计 曲线拼接 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]