采用等几何质点-弹簧模型的布料动态仿真方法  

Fabric Dynamic Simulation by Isogeometric Mass-Spring Model

作　　者：李鹏高 徐岗[1] 凌然 肖周芳 许金兰[1] 吴卿[1] Li Penggao;Xu Gang;Ling Ran;Xiao Zhoufang;Xu Jinlan;Wu Qing(School of Computer Science and Technology,Hangzhou Dianzi University,Hangzhou 310018)

机构地区：[1]杭州电子科技大学计算机学院

出　　处：《计算机辅助设计与图形学学报》2019年第6期911-918,共8页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(61772163,61761136010,61472111);浙江省杰出青年自然科学基金(LR16F020003);浙江省自然科学基金(LQ16F020005);浙江省科技计划项目(2018C01030)

摘　　要：为了高效实时地模拟出布料的动态效果,提出一种基于等几何分析思想的布料动态仿真方法.首先使用张量积Bézier曲面来构建布料几何模型;然后对布料的质点进行受力分析,并直接在该曲面上进行质点-弹簧模型数值求解;最后将更新后的质点的位置和速度变换到等几何布料曲面的控制顶点上,进行实时的碰撞处理.实验结果表明,该方法无需预先对布料进行三角网格剖分,可精确地表示布料几何模型;同时在较少的自由度数目下,可得到高精度的动态仿真效果,提高了仿真效率;可在CPU仿真环境下进行实时的动态仿真,适用于对实时性要求较高的虚拟试衣等工程应用领域.In order to simulate the dynamic fabric in real time, a dynamic simulation method by isogeometric analysis is proposed. Firstly, tensor product Bézier surface is used to construct the fabric geometric model;then the mechanics analysis is performed on the mass point of the fabric, and mass-spring model is numeri- cally solved directly on the surface;finally, the position and velocity of the updated mass points are trans- formed to the control points of the isogeometric fabric surface, and collision detection is performed in real time. Experimental results show that the proposed method does not need to perform triangulation on the fab- ric surface, and can represent the fabric geometry exactly;furthermore, high-precision dynamic simulation results can be achieved with a small number of degrees of freedom, and the simulation efficiency is im- proved. Real-time dynamic simulation is performed in CPU simulation environment, which is suitable for engineering applications such as virtual try-on with high real-time requirements.

关 键 词：布料动态仿真 等几何分析 质点-弹簧模型 张量积BÉZIER曲面 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]