SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Multi-resolution dynamic meshes with arbitrary deformations
Proceedings of the conference on Visualization '00
Dynamic real-time deformations using space & time adaptive sampling
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A multiresolution framework for dynamic deformations
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
CHARMS: a simple framework for adaptive simulation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A Fast Finite Element Solution for Cloth Modelling
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
GI '04 Proceedings of the 2004 Graphics Interface Conference
A Versatile and Robust Model for Geometrically Complex Deformable Solids
CGI '04 Proceedings of the Computer Graphics International
Invertible finite elements for robust simulation of large deformation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Robust quasistatic finite elements and flesh simulation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Geometric, variational integrators for computer animation
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
Fast viscoelastic behavior with thin features
ACM SIGGRAPH 2008 papers
Inversion handling for stable deformable modeling
The Visual Computer: International Journal of Computer Graphics
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
Skipping steps in deformable simulation with online model reduction
ACM SIGGRAPH Asia 2009 papers
A simple geometric model for elastic deformations
ACM SIGGRAPH 2010 papers
Dynamic local remeshing for elastoplastic simulation
ACM SIGGRAPH 2010 papers
Efficient elasticity for character skinning with contact and collisions
ACM SIGGRAPH 2011 papers
Sparse meshless models of complex deformable solids
ACM SIGGRAPH 2011 papers
Real-time large-deformation substructuring
ACM SIGGRAPH 2011 papers
Hi-index | 0.00 |
We provide a smooth extension of arbitrary isotropic hyperelastic energy density functions to inverted configurations. This extension is designed to improve robustness for elasticity simulations with extremely large deformations and is analogous to the extension given to the first Piola-Kirchoff stress in [ITF04]. We show that our energy-based approach is significantly more robust to large deformations than the first Piola-Kirchoff fix. Furthermore, we show that the robustness and stability of a hyperelastic model can be predicted from a characteristic contour, which we call its primary contour. The extension to inverted configurations is defined via extrapolation from a convex threshold surface that lies in the uninverted portion of the principal stretches space. The extended hyperelastic energy density yields continuous stress and unambiguous stress derivatives in all inverted configurations, unlike in [TSIF05]. We show that our invertible energy-density-based approach outperforms the popular hyperelastic corotated model, and we also show how to use the primary contour methodology to improve the robustness of this model to large deformations.