Fast corotational simulation for example-driven deformation

• An example space energy is constructed based on the corotational Cauchy strain.
• The total energy functional can be fast worked out by solving a linear system.
• An effective error correction algorithm is given for realism and stability.
• The proposed method can be easily implemented by expansion the existing FEM code.

We present a fast corotational finite element framework for example-driven deformation of 3-dimensional solids. An example-driven deformation space and an example space energy is constructed by introducing the modified linear Cauchy strain with rotation compensation. During this simulation, our adopted total energy functional is quadratic, and its corresponding optimization can be quickly worked out by solving a linear system. For addressing the possible errors, we propose an effective error-correction algorithm. Some related factors including the parameters and example weights are also discussed. Various experiments are demonstrated to show that the proposed method can achieve high quality results. Moreover, our method can avoid complex non-linear optimization, and it outperforms previous methods in terms of the calculation cost and implementation efficiency. Finally, other acceleration algorithms, such as the embedding technique for handling highly detailed meshes, can be easily integrated into our framework.

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