物体变形的广义形态变换方法  

Metamorphosis for Polyhedron Using Generalized Morphology Transformation

作　　者：刘文予[1] 李华[1] 朱光喜[1] 

机构地区：[1]华中科技大学电子与信息工程系,武汉430074

出　　处：《计算机辅助设计与图形学学报》2004年第2期222-227,共6页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金 (60 2 73 0 99;69973 0 18)资助

摘　　要：将广义形态变换理论用于非刚体运动的描述和内插 ,通过对非刚体的凸剖分把非刚体的运动分解为非刚体的变形与子凸集的旋转 ,提出物体近似骨架的概念 ;通过近似骨架实现子凸集匹配 ,实现了任意非同拓扑结构 (包括有孔及凹多面体 )物体的变形 广义形态变换具有基于体元的变形方法和基于边界形状的变形方法的优点 ,同时克服了它们的缺点 实验表明 ,该方法变形物体边界光滑、定位精度高、计算速度快 ,可应用于CAD。Generalized morphologic transformation can solve the metamorphosis problem of two non-homotopic objects, overcome the shortcomings of boundary-based and volume-based methods. It is fulfiled by decomposing 3D object into convex subsets, the morphing of each non-rigid subset is performed as the sum of two parts: non-rigid body metamorphosis and rigid body local rotation. The shapes of each convex subset before and after each step of morphing are matched by using approximate skeleton. Experiments show that this method presents a smooth boundary of metamorphosis, gives high precision alignment, lower cost of calculation and can be used in CAD, virtual reality and 3D object reconstruction for medicine engineering.

关 键 词：物体变形 广义形态变换 凸剖分 近似骨架 非线性插值 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]