Projective dynamics
Top Cited Papers
- 27 July 2014
- journal article
- research article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Graphics
- Vol. 33 (4), 1-11
- https://doi.org/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 continuum-based 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.Keywords
Funding Information
- European Research Council (257453)
- Division of Information and Intelligent Systems (IIS-1350330)
- Swiss National Science Foundation (20PA21L 129607)
This publication has 32 references indexed in Scilit:
- Shape‐Up: Shaping Discrete Geometry with ProjectionsComputer Graphics Forum, 2012
- Example-based elastic materialsACM Transactions on Graphics, 2011
- Multi-resolution isotropic strain limitingACM Transactions on Graphics, 2010
- A simple geometric model for elastic deformationsACM Transactions on Graphics, 2010
- Asynchronous contact mechanicsACM Transactions on Graphics, 2009
- Continuum‐based Strain LimitingComputer Graphics Forum, 2009
- Implicit-Explicit Variational Integration of Highly Oscillatory ProblemsMultiscale Modeling & Simulation, 2009
- Efficient simulation of inextensible clothACM Transactions on Graphics, 2007
- FastLSMACM Transactions on Graphics, 2007
- Meshless deformations based on shape matchingACM Transactions on Graphics, 2005