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基于数值流形法的计算机动画建模
作者姓名:刘婷婷  王 颖
作者单位:中国科学院研究生院,北京100049
摘    要:基于物理规律的计算机动画一直是图形学领域的研究热点,将一种新的动力学分析方法数值流形法引入到计算机动画领域中,利用数值流形法建立连续与非连续变形体的统一物理模型,仿真了一个逐渐展开的卷曲橡皮条、一个小球落到一堆可变形正方块上,以及一个球经过旋转的齿轮的情形。仿真结果显示,该模型可以处理多变形体的大位移和大变形,也可以处理变形体中裂隙的张开和滑移。

关 键 词:数值流形法  计算机动画  数学网格  物理网格  碰撞  

The mechanical model of computer animation based on numerical manifold method
Authors:LIU Ting-Ting  WANG Ying
Institution:Graduate University, Chinese Academy of Sciences, Beijing 100049, China
Abstract:Physics-based animation has always been an issue of computer graphics. A new numerical computing method named Numerical Manifold Method is firstly introduced into the area of computer animation. A general mechanical model is developed by making use of the advantage of numerical manifold method. It is simulated that an elastic object is being unfolded, a ball collapses into a square consisting of several little elastic blocks, and an elastic ball is pulled through rigid running gears. Simulation results show that the mechanical model has the potential advantage on multi-deformable objects simulation and the creation and spread of the joints.
Keywords:numerical manifold method  computer animation  mathematical mesh  physical mesh  collision  
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