基于弹簧质点模型的布料仿真及碰撞处理方法

Mass-Spring Deformable Modeling of Cloth Simulation and Collision Detection Methods

该文对布料仿真方法进行了研究。首先运用弹簧--质点系统建立布料的面模型,将柔性布料离散为分布均匀的质点,进而对整个系统进行了动力学分析。为获得高效的算法,采用了显式欧拉方法对微分方程进行数值积分。碰撞问题是布料仿真研究中的重要内容,该文针对具体碰撞对象设计了高效的碰撞检测方法,采用二分法作为碰撞响应算法,最后进行了布料产生碰撞后趋于稳定及滑落的动态仿真演示。该方法在达到较高计算效率的基础上,确保了仿真系统的稳定性。

A method of cloth simulation was researched in this paper. First, cloth is modeled by mass - spring system, and dispersed as well - proportioned masses. Secondly, the system was analyzed in dynamics. To get effective arithmetic, the differential equation was integrated in Explicit Euler Method. In the research of cloth simulation, collision is important. An effective collision detection method is devised based on the object with which the cloth will collide, at the same time, Bisection Method was used in the collision response. Finally, examples are given that the collided cloth comes to still or slips to the ground. This method can assure the stability of simulation system.