Bézier-like曲线的形状调配  

Shape blending of Bézier-like curve

作　　者：刘华勇[1] 李璐[1] 王焕宝[1] 

机构地区：[1]安徽建筑工业学院数理系,合肥230601

出　　处：《扬州大学学报（自然科学版）》2012年第1期65-68,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：安徽省自然科学基金资助项目(KJ2010B050;090412057)

摘　　要：首先给出Bézier-like曲线的定义,然后从平衡调整的角度出发,利用Bézier-like曲线的边界性质研究形状调配中曲线的参数连续特征保持问题.着重讨论线性混合过程中一阶和二阶参数连续的保持条件及其解决办法,得到一般Bézier-like曲线在形状调配中参数连续的保持方法.此方法适用于计算机动画和工业造型设计.Bézier-like curve is defined in view of a symmetric opinion.The parametric continuity preserving problems of blending curves are investigated by using the boundary properties of Bézier-like curve.In the linear blending process,the maintenance conditions of the first order and the second order parametric continuities are especially derived,and several solutions are discussed.Then nth order balance parametric continuity condition and its relative parametric preserving algorithm are given.The algorithms can be used in computer animation and industry design.

关 键 词：形状调配 参数连续性 Bézier-like曲线 BALL曲线 Timmer曲线 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]