纸张褶皱三维模拟*

纸张褶皱是常见的现象,因此对纸张的模拟应运而生。纸张又可以称为薄壳,薄壳有效模拟的关键是模型的建立。基于物理建模计算成本高、建模较复杂等不足,但真实感较强;基于几何建模形变模拟的精度不够,因此为了实现纸张褶皱的模拟,本文提出基于物理模型和几何模型结合进行纸张褶皱模拟,首先基于hinge模型和弹簧质点模型对纸张建立薄壳模型;由隐式积分法更新网格质点的位置,确定纸张的初步形变,增加形变约束;最后根据泊松形变确定最终形变状态。实验结果证明,采用混合模型具有模拟速度快和稳定性高等特点,不改变纸张网格的拓扑结构的同时进行等距变形,在褶皱细节也具有更好效果。

Three-dimensional simulation of paper fold

:S_{Paper fold is a common natural phenomena,so the simulation of paper folding comes into being.Paper also can be referred to as thin shell the establishment of the model is the key of effective simulate thin shell.The physical modeling has high calculation cost and complicated modeling and so on.but the reality is stronger than geometric modeling.Deformation simulation based on physical modeling is not accurate enough. In order to simulate the paper folding,we present a algorithm to perform paper fold simulation which using the hybrid model. First, paper"s thin shell model is set up by hinge model and the mass-Spring model; then, according tothe bending and implicit integration method to determine the initial deformation and increases the deformation constraint; last, the poisson deformation to determine the final deformation condition.The experimental results show that the hybrid model has high simulation speed and stability,anddon"t change the paper of the mesh topology, then in fold details also has a better effect.}