ADMM ⊇ Projective Dynamics: Fast Simulation of General Constitutive Models
Rahul Narain, Matthew Overby, and George E. Brown
University of Minnesota
Please see admm-elastic-samples for examples used in the paper.
We apply the alternating direction method of multipliers (ADMM) optimization algorithm to implicit time integration of elastic bodies, and show that the resulting method closely relates to the recently proposed projective dynamics algorithm. However, as ADMM is a general-purpose optimization algorithm applicable to a broad range of objective functions, it permits the use of nonlinear constitutive models and hard constraints while retaining the speed, parallelizability, and robustness of projective dynamics. We demonstrate these benefits on several examples that include cloth, collisions, and volumetric deformable bodies with nonlinear elasticity.
BibTex:
@inproceedings{Narain2016,
author = {Narain, Rahul and Overby, Matthew and Brown, George E.},
title = {{ADMM} $\supseteq$ Projective Dynamics: Fast Simulation of General Constitutive Models},
booktitle = {Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation},
series = {SCA '16},
year = {2016},
isbn = {978-3-905674-61-3},
location = {Zurich, Switzerland},
pages = {21--28},
numpages = {8},
url = {http://dl.acm.org/citation.cfm?id=2982818.2982822},
acmid = {2982822},
publisher = {Eurographics Association},
address = {Aire-la-Ville, Switzerland, Switzerland},
}
The best way to include admm-elastic in your project is to include it in another directory,
use cmake to call add_subdirectory, then use the
Copyright (c) 2016 University of Minnesota
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