动态织物仿真与碰撞响应算法  

Fabrics Dynamical Simulation and Colliding Response Algorithms

作　　者：闫燕[1] 史建红[1] 葛焰明[1] 

机构地区：[1]复旦大学数学系,上海200433

出　　处：《工程图学学报》2002年第4期40-48,共9页Journal of Engineering Graphics

基　　金：国家自然科学基金资助项目(19971017;10125102)

摘　　要：针对织物动态仿真粒子系模型做了深入的研究。为了解决织物仿真中的非线性碰撞约束问题,笔者提出了新的碰撞检测及相应的碰撞反应算法。该算法不仅在直观上有很好的物理解释,而且简单易行,计算量小,可以适用于实时模拟,对于很多复杂的碰撞情况具有处理上的统一。另外,笔者提出用显式积分方法来求解模型建立起来的微分方程,该方法的优点是不需解线性方程组,处理碰撞问题时,可以直接求出非常精确的碰撞时刻,从而达到了提高计算效率的目的。In this paper, we studied the fabrics simulation with particle-system model. We put forward a new colliding check and reaction algorithm to deal with the non-linear constraint colliding problem. Our algorithms are simple to realize and the computation quantity is reduced substantially. Besides, we use explicit method to solve the differential equations built in the simulation. The advantages of the explicit method are, firstly, it doesn't need to solve linear equations, and secondly, the colliding time can be computed very precisely. It can be seen in our numerical results that the method is effective and fast.

关 键 词：织物 碰撞响应算法 粒子系统 动态仿真 拉格朗日方程 碰撞问题 力学模型 计算机图形学 

分 类 号：O313.4[理学—一般力学与力学基础] TP391[理学—力学]