Asynchronous Preconditioners for Efficient Solving of Non-linear Deformations

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Date
2010
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The Eurographics Association
Abstract
In this paper, we present a set of methods to improve numerical solvers, as used in real-time non-linear deformable models based on implicit integration schemes. The proposed approach is particularly beneficial to simulate nonhomogeneous objects or ill-conditioned problem at high frequency. The first contribution is to desynchronize the computation of a preconditioner from the simulation loop.We also exploit today's heterogeneous parallel architectures: the graphic processor performs the mechanical computations whereas the CPU produces efficient preconditioners for the simulation. Moreover, we propose to take advantage of a warping method to limit the divergence of the preconditioner over time. Finally, we validate our work with several preconditioners on different deformable models. In typical scenarios, our method improves significantly the performances of the perconditioned version of the conjugate gradient.
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@inproceedings{
:10.2312/PE/vriphys/vriphys10/059-068
, booktitle = {
Workshop in Virtual Reality Interactions and Physical Simulation "VRIPHYS" (2010)
}, editor = {
Kenny Erleben and Jan Bender and Matthias Teschner
}, title = {{
Asynchronous Preconditioners for Efficient Solving of Non-linear Deformations
}}, author = {
Courtecuisse, Hadrien
and
Allard, Jérémie
and
Duriez, Christian
and
Cotin, Stéphane
}, year = {
2010
}, publisher = {
The Eurographics Association
}, ISBN = {
978-3-905673-78-4
}, DOI = {
/10.2312/PE/vriphys/vriphys10/059-068
} }
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