Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Dynamic real-time deformations using space & time adaptive sampling
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Real-Time Elastic Deformations of Soft Tissues for Surgery Simulation
IEEE Transactions on Visualization and Computer Graphics
A Versatile and Robust Model for Geometrically Complex Deformable Solids
CGI '04 Proceedings of the Computer Graphics International
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Meshless deformations based on shape matching
ACM SIGGRAPH 2005 Papers
Real-Time subspace integration for St. Venant-Kirchhoff deformable models
ACM SIGGRAPH 2005 Papers
Tetrahedral and hexahedral invertible finite elements
Graphical Models - Special issue on SCA 2004
Point-Based Graphics
Skinning with dual quaternions
Proceedings of the 2007 symposium on Interactive 3D graphics and games
Arbitrary cutting of deformable tetrahedralized objects
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Optimizing cubature for efficient integration of subspace deformations
ACM SIGGRAPH Asia 2008 papers
Geometric skinning with approximate dual quaternion blending
ACM Transactions on Graphics (TOG)
Preserving topology and elasticity for embedded deformable models
ACM SIGGRAPH 2009 papers
Meshless modeling of deformable shapes and their motion
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Flexible simulation of deformable models using discontinuous Galerkin FEM
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Image-based collision detection and response between arbitrary volume objects
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Polyhedral finite elements using harmonic basis functions
SGP '08 Proceedings of the Symposium on Geometry Processing
Unified simulation of elastic rods, shells, and solids
ACM SIGGRAPH 2010 papers
Volume contact constraints at arbitrary resolution
ACM SIGGRAPH 2010 papers
Eulerian solid simulation with contact
ACM SIGGRAPH 2011 papers
Sparse meshless models of complex deformable solids
ACM SIGGRAPH 2011 papers
Physics-based character skinning using multi-domain subspace deformations
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Fast automatic skinning transformations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Interactive authoring of simulation-ready plants
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Efficient simulation of secondary motion in rig-space
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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We present a new type of deformable model which combines the realism of physically-based continuum mechanics models and the usability of frame-based skinning methods. The degrees of freedom are coordinate frames. In contrast with traditional skinning, frame positions are not scripted but move in reaction to internal body forces. The displacement field is smoothly interpolated using dual quaternion blending. The deformation gradient and its derivatives are computed at each sample point of a deformed object and used in the equations of Lagrangian mechanics to achieve physical realism. This allows easy and very intuitive definition of the degrees of freedom of the deformable object. The meshless discretization allows on-the-fly insertion of frames to create local deformations where needed. We formulate the dynamics of these models in detail and describe some precomputations that can be used for speed. We show that our method is effective for behaviors ranging from simple unimodal deformations to complex realistic deformations comparable with Finite Element simulations. To encourage its use, the software will be freely available in the simulation platform SOFA.