带有两个形状参数的Bézier曲线及其在管道拼接中的应用  

Bézier Curve with Two Shape Parameters and Its Application in Blending Tubes

作　　者：乌仁高娃[1] 陶吐格 王芳[2] 白根柱 Wurengaowa;TAO Tuge;WANG Fang;BAI Genzhu(Department of Normal Education,Inner Mongolia Tongliao Vocational College,Tongliao 028000,China;Basis Department,Zhe Jiang Chang Zheng Vocational&Technical College,Hangzhou 310023,China;College of Mathematics,Inner Mongolia University for the Nationalities,Tongliao 028000,China)

机构地区：[1]内蒙古通辽职业学院师范教育系,内蒙古通辽028000 [2]浙江长征职业技术学院基础部,杭州310023 [3]内蒙古民族大学数学学院,内蒙古通辽028000

出　　处：《湖北民族学院学报（自然科学版）》2018年第4期412-414,共3页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(11561052)

摘　　要：本文利用带有两个形状参数α,β的三次Bézier曲线对于特定控制顶点附近曲线的形状具有调控特性,在光滑拼接两个半径相同的轴线异面圆管道的轴线的基础上,光滑拼接了两个半径相同的圆管道,得到了新的轴线异面管道的拼接管道,具有理论意义和应用价值.By using the adjustable property of the cubic Bézier curve with two shape parametersα,βand on the basis of the smooth blending the two same radius of tubes whose axes are non-coplanar lines,two circular tubes with the same radius are smoothly blended together,and a new blending tubes whose axes are non-coplanar lines are obtained.It has theoretical significance and application value.

关 键 词：形状参数 BÉZIER曲线 轴线 管道 光滑拼接 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]