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Boundary-Aware Multidomain Subspace Deformation
Oct. 2013 (vol. 19 no. 10)
pp. 1633-1645
Yin Yang, Dept. of Comput. Sci., Univ. of Texas at Dallas, Richardson, TX, USA
Weiwei Xu, Hangzhou Normal Univ., Hangzhou, China
Xiaohu Guo, Dept. of Comput. Sci., Univ. of Texas at Dallas, Richardson, TX, USA
Kun Zhou, State Key Lab. of CAD & CG, Zhejiang Univ., Hangzhou, China
Baining Guo, Microsoft Res. Asia, Beijing, China
In this paper, we propose a novel framework for multidomain subspace deformation using node-wise corotational elasticity. With the proper construction of subspaces based on the knowledge of the boundary deformation, we can use the Lagrange multiplier technique to impose coupling constraints at the boundary without overconstraining. In our deformation algorithm, the number of constraint equations to couple two neighboring domains is not related to the number of the nodes on the boundary but is the same as the number of the selected boundary deformation modes. The crack artifact is not present in our simulation result, and the domain decomposition with loops can be easily handled. Experimental results show that the single-core implementation of our algorithm can achieve real-time performance in simulating deformable objects with around quarter million tetrahedral elements.
Index Terms:
Bismuth,Couplings,Deformable models,Acceleration,Harmonic analysis,Elasticity,Mathematical model,deformable model,Model reduction,domain decomposition,FEM
Citation:
Yin Yang, Weiwei Xu, Xiaohu Guo, Kun Zhou, Baining Guo, "Boundary-Aware Multidomain Subspace Deformation," IEEE Transactions on Visualization and Computer Graphics, vol. 19, no. 10, pp. 1633-1645, Oct. 2013, doi:10.1109/TVCG.2013.12
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