SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Modeling inelastic deformation: viscolelasticity, plasticity, fracture
SIGGRAPH '88 Proceedings of the 15th 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
A multiresolution framework for dynamic deformations
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
Graphical modeling and animation of ductile fracture
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Dynamic Free-Form Deformations for Animation Synthesis
IEEE Transactions on Visualization and Computer Graphics
GI '04 Proceedings of the 2004 Graphics Interface Conference
Physically-Based Simulation of Objects Represented by Surface Meshes
CGI '04 Proceedings of the Computer Graphics International
A virtual node algorithm for changing mesh topology during simulation
ACM SIGGRAPH 2004 Papers
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Meshless animation of fracturing solids
ACM SIGGRAPH 2005 Papers
Squashing cubes: automating deformable model construction for graphics
SIGGRAPH '04 ACM SIGGRAPH 2004 Sketches
Fast arbitrary splitting of deforming objects
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
A general geometric construction of coordinates in a convex simplicial polytope
Computer Aided Geometric Design
Harmonic volumetric mapping for solid modeling applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Arbitrary cutting of deformable tetrahedralized objects
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Hybrid simulation of deformable solids
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Adaptive deformations with fast tight bounds
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Variational harmonic maps for space deformation
ACM SIGGRAPH 2009 papers
Enrichment textures for detailed cutting of shells
ACM SIGGRAPH 2009 papers
ACM Transactions on Graphics (TOG)
Sparse meshless models of complex deformable solids
ACM SIGGRAPH 2011 papers
Solid simulation with oriented particles
ACM SIGGRAPH 2011 papers
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
Error estimates for generalized barycentric interpolation
Advances in Computational Mathematics
Enriching coarse interactive elastic objects with high-resolution data-driven deformations
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Enriching coarse interactive elastic objects with high-resolution data-driven deformations
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
Adaptive fracture simulation of multi-layered thin plates
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Arbitrary order Trefftz-like basis functions on polygonal meshes and realization in BEM-based FEM
Computers & Mathematics with Applications
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Finite element simulations in computer graphics are typically based on tetrahedral or hexahedral elements, which enables simple and efficient implementations, but in turn requires complicated remeshing in case of topological changes or adaptive refinement. We propose a flexible finite element method for arbitrary polyhedral elements, thereby effectively avoiding the need for remeshing. Our polyhedral finite elements are based on harmonic basis functions, which satisfy all necessary conditions for FEM simulations and seamlessly generalize both linear tetrahedral and trilinear hexahedral elements. We discretize harmonic basis functions using the method of fundamental solutions, which enables their flexible computation and efficient evaluation. The versatility of our approach is demonstrated on cutting and adaptive refinement within a simulation framework for corotated linear elasticity.