Center for Human Modeling and Simulation

Document Type

Journal Article

Date of this Version

7-2014

Publication Source

ACM Transactions on Graphics

Volume

33

Issue

4

Start Page

Article No. 154

DOI

10.1145/2601097.2601116

Abstract

We present a new method for implicit time integration of physical systems. Our approach builds a bridge between nodal Finite Element methods and Position Based Dynamics, leading to a simple, efficient, robust, yet accurate solver that supports many different types of constraints. We propose specially designed energy potentials that can be solved efficiently using an alternating optimization approach. Inspired by continuum mechanics, we derive a set of continuumbased potentials that can be efficiently incorporated within our solver. We demonstrate the generality and robustness of our approach in many different applications ranging from the simulation of solids, cloths, and shells, to example-based simulation. Comparisons to Newton-based and Position Based Dynamics solvers highlight the benefits of our formulation.

Copyright/Permission Statement

© S. Bouaziz et al. 2014. This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in ACM Transactions on Graphics, http://dx.doi.org/10.1145/2601097.2601116.

Keywords

physics-based animation, implicit Euler method, position based dynamics, continuum mechanics

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Date Posted: 13 January 2016