Vega: Non-Linear FEM Deformable Object Simulator

This practice and experience paper describes a robust C++ implementation of several non‐linear solid three‐dimensional deformable object strategies commonly employed in computer graphics, named the Vega finite element method (FEM) simulation library. Deformable models supported include co‐rotational...

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Bibliographic Details
Published in:Computer graphics forum Vol. 32; no. 1; pp. 36 - 48
Main Authors: Sin, F. S., Schroeder, D., Barbič, J.
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.02.2013
Subjects:
Computer graphics
Computer simulation
deformable objects
Deformation
Finite element analysis
Finite element method
Formability
I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Physically based modelling
I.6.8 [Simulation and Modelling]: Types of Simulation Animation
Mathematical models
non-linear
Nonlinearity
open source
practice and experience
Programming languages
Simulation
Studies
Three dimensional
Topological manifolds
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:This practice and experience paper describes a robust C++ implementation of several non‐linear solid three‐dimensional deformable object strategies commonly employed in computer graphics, named the Vega finite element method (FEM) simulation library. Deformable models supported include co‐rotational linear FEM elasticity, Saint–Venant Kirchhoff FEM model, mass–spring system and invertible FEM models: neo‐Hookean, Saint–Venant Kirchhoff and Mooney–Rivlin. We provide several timestepping schemes, including implicit Newmark and backward Euler integrators, and explicit central differences. The implementation of material models is separated from integration, which makes it possible to employ our code not only for simulation, but also for deformable object control and shape modelling. We extensively compare the different material models and timestepping schemes. We provide practical experience and insight gained while using our code in several computer animation and simulation research projects. This practice and experience paper describes a robust C++ implementation of several nonlinear solid 3D deformable object strategies commonly employed in computer graphics, named the Vega FEM simulation library. Deformable models supported include co‐rotational linear FEM elasticity, Saint‐Venant Kirchhoff FEM model, mass‐spring system, and invertible FEM models: neo‐Hookean, Saint‐Venant Kirchhoff, and Mooney‐Rivlin. We provide several timestepping schemes, including implicit Newmark and backward Euler integrators, and explicit central differences. The implementation of material models is separated from integration, which makes it possible to employ our code not only for simulation, but also for deformable object control and shape modeling. We extensively compare the different material models and timestepping schemes. We provide practical experience and insight gained while using our code in several computer animation and simulation research projects.
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ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2012.03230.x