几何连续的Bézier-like曲线的形状调配  

Shape blending Bézier-like curve with geometric continuity

作　　者：刘华勇[1] 王焕宝[1] 李璐[1] 张大明[1] 

机构地区：[1]安徽建筑工业学院数理系,安徽合肥230601

出　　处：《山东大学学报（理学版）》2012年第3期51-55,共5页Journal of Shandong University(Natural Science)

基　　金：安徽省自然科学基金资助项目(KJ2010B050;KJ2012B034;090412057)

摘　　要：在形状调配过程中,中间过渡曲线的参数连续性往往是不能保证的。首先给出Bézier-like曲线的定义,然后从连续性的角度出发,利用Bézier-like曲线的性质,研究形状调配中曲线的几何连续特征保持问题。讨论了线性混合过程中一、二阶几何连续保持条件及相应解决办法,从而得出一般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。In shape blending process, the parametric continuity of blending curves is not always preserved. In this pa- per, based on a symmetric opinion, first the Bezier-like curve is defined, and the geometric continuity preserving prob- lems of blending curves are investigated by using the boundary properties of the Bezier-like curve. Especially, in the linear blending process, the maintenance conditions of the first order and the second order geometric continuities are de- rived, and several solutions are discussed. Then one and two order balance geometric continuity conditions and their rela- tive parametric preserving algorithm are given. The algorithms can be used in computer animation and industrial design.

关 键 词：形状调配 几何连续性 Bézier-like曲线 BALL曲线 Timmer曲线 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]