一种应用参数曲面的动态自由变形方法  

ANIMATED FREE-FORM DEFORMATION FOLLOWING THE SHAPE OF PARAMETRIC SURFACE

作　　者：冯结青[1] 马利庄[1] 彭群生[1] 

机构地区：[1]浙江大学CAD&CG国家重点实验室

出　　处：《计算机学报》1997年第7期600-607,共8页Chinese Journal of Computers

基　　金：霍英东青年教师基金;国家杰出青年基金;国家自然科学基金

摘　　要：本文提出了一种动态自由变形方法．被变形物体首先附在两张参数曲面上，当参数曲面的形状发生变化时，物体会随之变形．这两张参数曲面分别被称为形状曲面和高度曲面，其中形状曲面用于控制变形物体的形状，高度曲面用于控制物体沿着形状曲面法向的高度．动态自由变形方法可以通过关键帧插值技术实现，其中关键帧参数可以取被变形物体的局部坐标，也可以取两个参数曲面的控制顶点坐标，或者是两者之和．这样预先定义好的动态自由变形就可以如此实现．实验结果表明，本文提出的方法具有直观、灵活和易于操作控制等特点．An animated free-form deformation method is presented in this paper. The deformation is achieved by attaching the object to be deformed onto two parametric surfaces, which are called the shape surface and height surface respectively. In the proposed deformation method, the shape surface controls mainly the shape of the deformed objects while the height surface modifies the height of the objects. After the deformation is defined, animated deformation can be set up through thelocal coordinates of the deformed objects, the shape of the two parametric surfaces or even the combination of them. By this way, predefined shape animation can be realized. The experimental results show that the proposed method is intuitive, flexible and easily controlled.

关 键 词：动态变形 形状曲面 高度曲面 B-样条 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]