关键词:Cosserat理论; 头发建模; 离散; 欧拉方程
Simulation of dynamic hair based on theory of Cosserat
TANG Yonga, GAO Ying-huia, FENG Li-yingb, LV Meng-yaa, LI Xiao-yana
(a.School of Information Science & Engineering, b.Library, Yanshan University, Qinhuangdao Hebei 066004, China)
Abstract:The real-time simulation of hair in the super-helix model based-on the elastic rod is a big problem because of complicatedly solving dynamical equation.Applied Cosserat rod theory to model hair. Obtained the equation of motion by combining the angular velocity with the holonomic constraints in the dynamic equilibrium configuration for an elastic rod. Successfully improved the Lagrangian dynamic equation. Further more,discretized the rod into finite element.Brought the angular velocity together with the quaternions to be the state variables. Decoupled the resulting system of equations. It had gotten an efficient numerical solution of Lagrangian.Used semi-explicit Euler equations to speed up the Lagrangian dynamic equation. Finally, increased the velocity of the simulation,improved the reality of the simulation, satisfied the requirement of fast and realistic simulation of hair. ......