带两个形状参数的三次TC-Bézier插值曲线  

Cubic TC-Bézier Interpolation Curve with Two Shape Parameters

作　　者：王成伟[1] 张永明[2] WANG Chengwei;ZHANG Yongming(Beijing Institute of Fashion Technology,Beijing 100029,China;Beijing Institute of Graphic Communication,Beijing 102600,China)

机构地区：[1]北京服装学院,北京100029 [2]北京印刷学院,102600

出　　处：《北京印刷学院学报》2020年第6期155-158,共4页Journal of Beijing Institute of Graphic Communication

基　　金：北京市教育委员会科研计划项目资助(项目编号KM201910012002)。

摘　　要：Bézier曲线是曲线造型中一种比较重要曲线,但弊端是控制点一旦给定,曲线的形状就固定,不能对曲线的形状进行修正和插值。本文构造了带有两个形状参数三次TC-Bézier插值曲线,插值曲线的形状可以改变,充分克服了服装CAD中曲线的形状不能修改的弱点,最后举例说明了插值曲线在服装造型中的实用性。Bézier curve is an important curve in curve modelling,but the disadvantage is that once the control point is given,the shape of the curve is fixed,and the shape of the curve can not be modified and interpolated.In order to overcome these shortcomings,a cubic TC-Bézier interpolation curve with two shape parameters is constructed.The shape of the interpolation curve can be changed.It overcomes the weakness that the shape of curve can not be modified in garment CAD.Finally,an example is given to illustrate the practicability of interpolation curve in garment modeling.

关 键 词：形状参数 TC-Bézier曲线 插值曲线 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] O241.3[自动化与计算机技术—计算机科学与技术]