基于伸缩因子的参数曲线自由变形  

Free-Form Deformation Based on Extension Factor for Parametric Curve

作　　者：王小平[1] 叶正麟[1] 孟雅琴[1] 李红达[1] 

机构地区：[1]西北工业大学数学与信息科学系,西安710072

出　　处：《计算机辅助设计与图形学学报》2002年第1期66-69,共4页Journal of Computer-Aided Design & Computer Graphics

基　　金：陕西省自然科学基金基础研究项目 (2 0 0 0 SL 0 8)资助

摘　　要：提出一种新的参数曲线自由变形方法 :构造出特殊的伸缩因子函数 ,以此去作用 (伸缩 )待变形曲线方程 ,从而使曲线发生形变 .通过交互改变控制参数 ,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。A new technique of free form deformation for parametric curve by the so called extension factor is presented. First, a special extension factor is introduced and an operator matrix is constructed. Then the original curves are deformed through multiplying by the operator matrix or adding the multiplication of some vector field by the operator matrix. Interactively modifying control parameters, ideal deformation effect can be got. The implementation shows that the method is simple, intuitive and easy to control. It can be used in many fields such as geometric modeling and computer animation.

关 键 词：参数曲线 伸缩因子 自由变形 变形造型 几何造型 CAD CAM 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]