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Subdivision Based Nonlinear Multiscale Cloth Simulation
PUBLICATIONS — Paper

Subdivision-Based Nonlinear Multiscale Cloth Simulation

SIAM J. SCI. COMPUT. 2019

Alena Kopaničáková, Rolf Krause, Rasmus Tamstorf

This paper proposes a method for solving the nonlinear equations in cloth simulation efficiently using the recursive multilevel trust region (RMTR) method. The multilevel framework for cloth simulations is based on Catmull--Clark subdivision surfaces, which facilitates generation of the mesh hierarchy and also provides the basis for the finite element discretization. The prolongation and restriction operators are similarly constructed based on the subdivision rules. Finally, we leverage a reverse subdivision operator to transfer iterates from fine levels to coarser levels. The novel use of this fine-to-coarse operator provides a computationally efficient alternative to the least-square approach used elsewhere. Using the resulting RMTR variant, we present numerical examples showing a reduction in the number of iterations by several orders of magnitude when compared to a single-level trust region method.

Categories
Cloth
DOI
10.1137/18M1194870