一种带形状参数的新曲线构造  

A New Kind of Curve Construction with Shape Parameters

作　　者：张丹丹[1] 劳志鸿[1] 

机构地区：[1]安徽广播电视大学安庆分校,安徽安庆246001

出　　处：《重庆工商大学学报（自然科学版）》2017年第3期11-16,20,共7页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：安徽省高校自然科学研究重点项目(KJ2016A110);安徽广播电视大学青年教师科研资金项目(QN15-01)

摘　　要：定义了带两个形状参数α,β组成的混合函数,该混合函数组成的曲线具有Bézier曲线类似的几何性质;形状参数α,β取不同的数值时,曲线的形状可以进行调控,这种新的曲线具有简单的光滑拼接条件;给出了曲线间G^2光滑拼接条件,前面一条曲线的末控制边与后一条曲线的首控制边重合,最后通过实例说明了该方法的几何造型中的有效性.This paper defines the mixed function with shape parameter α,β, and the curve of the mixed function holds many similar geometrical qualities of Bezier curve. The shape of the curve can be adjusted when changing the value of the shape parameter α,β and this kind of new curve has simple smoothing match condition. This paper gives G2 smoothing match condition between the curves, reveals that the last edge of the first curve＇ s control polygon and the first edge of the second curve＇ s control polygon are coincident, and finally uses the examples to illustrate the effectiveness of this modeling method in geometrical shape.

关 键 词：形状参数 曲线设计 混合函数 曲线拼接 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]