平面参数曲线的自由变形  

FREE-FORM DEFORMATION FOR PLANE PARAMETRIC CURVE

作　　者：周正华[1] 赵建伟[1] 罗卫民[2] 

机构地区：[1]中国计量学院理学院,浙江杭州310018 [2]西安邮电学院应用数理系,陕西西安710061

出　　处：《计算机应用与软件》2007年第12期44-45,共2页Computer Applications and Software

基　　金：陕西省自然科学基金(2004A12);陕西省教育厅自然科学计划项目(05JK289)资助

摘　　要：提出一种全新的参数曲线自由变形方法:基于平面矢量叠加原理构造出特殊的伸缩矢量函数去作用待变形曲线,从而使曲线发生形变,通过改变曲线上型值点的位置和个数以及每个型值点处的权因子可达到预期的变形效果。实验表明,该方法数学背景简单、易于控制,重复使用可获得丰富的变形效果,适用于几何造型和计算机动画等领域。A new technique of free-form deformation for parametric curve based on extension vector function is presented. First,a special extension vector function is established based on vector addition,through which the parametric curve is deformed. An anticipant deformation effect can be achieved by adjusting the positions and quantities of the points on the curve and changing the weight factors corresponding to the points on the curve. The implementation shows that the method is feasible, simple,intuitive and easy to control. It can be applied to fields such as geometric modeling and computer animation.

关 键 词：计算机辅助几何设计 参数曲线 自由变形 伸缩矢量函数 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]