纸张褶皱三维模拟

Three-dimensional simulation of paper fold

纸张褶皱是常见的现象,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,采用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。

Paper folding is a common phenomenon. This paper could be referred to as the shell, and the model was the key for efficient simulation of thin shell. Based on the high cost and more complex of physical modeling and based on the accuracy of deformation was not enough of geometric modeling. Therefore, in order to realize the simulation of paper folding, this paper proposed a paper folding simulation based on physical model and geometric model. First of all, based on the hinge model and the mass spring model of paper thin shell model. Second, updating the position of the particle by the implicit integration meth- od, it determined the initial deformation of the paper, and increased the deformation constraint. Lastly, according to Poisson deformation determining the final deformation state. The experimental results show that the hybrid model has the advantages of high speed and high stability.