ACM Transactions on Graphics· 2014Q1
Projective dynamics
- 437citations
- Q1SCImago
- 2014year
Short summary
A new implicit time integration method, Projective Dynamics, unifies Finite Element methods and Position Based Dynamics for efficient, robust, and accurate simulation of solids, cloths, and shells.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces Projective Dynamics, a new implicit time integration method.
- Unifies nodal Finite Element methods with Position Based Dynamics.
- Uses alternating optimization on continuum-based energy potentials.
- Demonstrates robustness and accuracy in simulating solids, cloths, and shells.
- Outperforms Newton-based and Position Based Dynamics solvers in comparisons.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. ACM Transactions on Graphics, 2014 · DOI ↗
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Field: Computer Graphics and Computer-Aided Design
Computer Graphics and Computer-Aided DesignComputer Science