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Strong demands for simulating detailed but yet efficient cloth are pervasive in the CG animation industry especially for interactive applications such as games. However, cost of detailed cloth simulat...ion is expensive and the use of highly detail cloth in real-time simulations is limited. Our goal is to accelerate high detail cloth simulation, more specifically made of anisotropic and inhomogeneous materials, by simulating only coarse meshes. In this paper, we propose an effective down-sampling method applicable for fine, heterogeneous and periodic structures by homogenization method. With our technique, we can simulate highly detailed cloth in real-time with a few coarse meshes Advances in physics-based simulation see success in realistic clothing animation [1, 3, 4, 13]. Although these methods can produce highly detailed results that are also made of non-homogeneous or anisotropic elasticity, they make the simulation more costly, typically several minutes per frame. To accelerate cloth simulation, they simulate coarse meshes and then restore the fine deta.il [2, 7, 5, 14]. However, physically accurate results are not necessarily obtained because microscopic deformations such as anisotropy or inhomogeneity are not accounted in the material property of coarse mesh deformations. Homogenization methods have been proposed [12, 6] in order to derive mechanical material property characteristics of macro deformations taking into account microscopic structures. However, these applications have been limited to deformation of solid materials and has not been applied to thin shells like cloth. Here we apply homogenization method to highly detailed cloth simulation. As a pre-computation step, we homogenize periodic unit-cells in which anisotropic or non-homogeneous material property is embedded to obtain microscopic deformation called characteristic displacement which correlates coarse meshes deformation to fine mesh deformation. From characteristic displacement, we compute an effective elasticity tensor that approximates bulk material stiffness in the coarse simulation. At every simulation time step, we compute microscopic deformation from the macro strain on the coarse meshes, and then superimpose them in the deformed coarse meshes. Furthermore, we implement the linear elasticity to introduce homogenization method. The robust and efficient simulation of large deformation can be achieved by applying the warping stiffness method for thin shell. Contributions of our method are listed as follows: • Up-sampled technique which predicts microscopic in-plane deformation from 3D coarse mesh deformation. • Efficient and robust cloth simulator for which warping stiffness method.続きを見る
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