On the multi-level splitting of finite element spaces
Numerische Mathematik
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Simulation of object and human skin formations in a grasping task
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Dynamic deformation of solid primitives with constraints
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
A class of bases in L2 for the sparse representations of integral operators
SIAM Journal on Mathematical Analysis
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Dynamic NURBS with geometric constraints for interactive sculpting
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Hierarchical and variational geometric modeling with wavelets
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Dynamic smooth subdivision surfaces for data visualization
VIS '97 Proceedings of the 8th conference on Visualization '97
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Cloth modeling and animation
Real-time biomechanical simulation of volumetric brain deformation for image guided neurosurgery
Proceedings of the 2000 ACM/IEEE conference on Supercomputing
Adaptive wavelet methods for elliptic operator equations: convergence rates
Mathematics of Computation
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Practical animation of liquids
Proceedings of the 28th 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
Locally Adapted Tetrahedral Meshes Using Bisection
SIAM Journal on Scientific Computing
Scattered Data Interpolation with Multilevel B-Splines
IEEE Transactions on Visualization and Computer Graphics
Computational Partial Differential Equations: Numerical Methods and Diffpack Programming
Computational Partial Differential Equations: Numerical Methods and Diffpack Programming
Smoothness of Stationary Subdivision on Irregular Meshes
Smoothness of Stationary Subdivision on Irregular Meshes
On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
Computer Aided Geometric Design
Computer Aided Geometric Design
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
The application of multiwavelet filterbanks to image processing
IEEE Transactions on Image Processing
A multiresolution framework for dynamic deformations
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Interactive skeleton-driven dynamic deformations
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Interactive physically based solid dynamics
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Simulation of clothing with folds and wrinkles
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Finite volume methods for the simulation of skeletal muscle
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
ACM SIGGRAPH 2003 Papers
Precomputing interactive dynamic deformable scenes
ACM SIGGRAPH 2003 Papers
A Fast Finite Element Solution for Cloth Modelling
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Interactive Global and Local Deformations for Virtual Clay
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
GI '04 Proceedings of the 2004 Graphics Interface Conference
A finite element method for surface restoration with smooth boundary conditions
Computer Aided Geometric Design
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
A virtual node algorithm for changing mesh topology during simulation
ACM SIGGRAPH 2004 Papers
An Intestinal Surgery Simulator: Real-Time Collision Processing and Visualization
IEEE Transactions on Visualization and Computer Graphics
Breathe easy: model and control of simulated respiration for animation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Quasi-rigid objects in contact
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Invertible finite elements for robust simulation of large deformation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Extended Galilean invariance for adaptive fluid simulation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Modal Warping: Real-Time Simulation of Large Rotational Deformation and Manipulation
IEEE Transactions on Visualization and Computer Graphics
Creating and Simulating Skeletal Muscle from the Visible Human Data Set
IEEE Transactions on Visualization and Computer Graphics
Interactive global and local deformations for virtual clay
Graphical Models - Special issue on pacific graphics 2003
Clustering method for fast deformation with constraints
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Meshless deformations based on shape matching
ACM SIGGRAPH 2005 Papers
Real-Time subspace integration for St. Venant-Kirchhoff deformable models
ACM SIGGRAPH 2005 Papers
Robust quasistatic finite elements and flesh simulation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Cloth animation with adaptively refined meshes
ACSC '05 Proceedings of the Twenty-eighth Australasian conference on Computer Science - Volume 38
Adaptive resolution of 1D mechanical B-spline
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Tetrahedral and hexahedral invertible finite elements
Graphical Models - Special issue on SCA 2004
Breathe easy: model and control of human respiration for computer animation
Graphical Models - Special issue on SCA 2004
Edge subdivision schemes and the construction of smooth vector fields
ACM SIGGRAPH 2006 Papers
Fast Volume Preservation for a Mass-Spring System
IEEE Computer Graphics and Applications
Pillow: interactive pattern design for stuffed animals
ACM SIGGRAPH 2006 Sketches
A discrete model of thin shells
ACM SIGGRAPH 2006 Courses
Simulation of clothing with folds and wrinkles
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A virtual node algorithm for changing mesh topology during simulation
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A discrete model of thin shells
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Fast simulation of deformable models in contact using dynamic deformation textures
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
An efficient large deformation method using domain decomposition
Computers and Graphics
A physically-based framework for real-time haptic cutting and interaction with 3D continuum models
Proceedings of the 2007 ACM symposium on Solid and physical modeling
IEEE Transactions on Visualization and Computer Graphics
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
Plushie: an interactive design system for plush toys
ACM SIGGRAPH 2007 papers
TRACKS: toward directable thin shells
ACM SIGGRAPH 2007 papers
FastLSM: fast lattice shape matching for robust real-time deformation
ACM SIGGRAPH 2007 papers
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Elastic secondary deformations by vector field integration
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Real-time control of physically based simulations using gentle forces
ACM SIGGRAPH Asia 2008 papers
Optimizing cubature for efficient integration of subspace deformations
ACM SIGGRAPH Asia 2008 papers
Pillow: Interactive Flattening of a 3D Model for Plush Toy Design
SG '08 Proceedings of the 9th international symposium on Smart Graphics
Polynomial splines over hierarchical T-meshes
Graphical Models
Quasi-hierarchical Powell--Sabin B-splines
Computer Aided Geometric Design
Enrichment textures for detailed cutting of shells
ACM SIGGRAPH 2009 papers
Numerical coarsening of inhomogeneous elastic materials
ACM SIGGRAPH 2009 papers
Preserving topology and elasticity for embedded deformable models
ACM SIGGRAPH 2009 papers
Comprehensive biomechanical modeling and simulation of the upper body
ACM Transactions on Graphics (TOG)
Designing plush toys with a computer
Communications of the ACM - Finding the Fun in Computer Science Education
Skipping steps in deformable simulation with online model reduction
ACM SIGGRAPH Asia 2009 papers
Fast adaptive shape matching deformations
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
Globally coupled collision handling using volume preserving impulses
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Research problems in clothing simulation
Computer-Aided Design
A multigrid framework for real-time simulation of deformable bodies
Computers and Graphics
An efficient multigrid method for the simulation of high-resolution elastic solids
ACM Transactions on Graphics (TOG)
Polyhedral finite elements using harmonic basis functions
SGP '08 Proceedings of the Symposium on Geometry Processing
Real-time simulation of self-collisions for virtual intestinal surgery
IS4TM'03 Proceedings of the 2003 international conference on Surgery simulation and soft tissue modeling
Dynamic local remeshing for elastoplastic simulation
ACM SIGGRAPH 2010 papers
Efficient yarn-based cloth with adaptive contact linearization
ACM SIGGRAPH 2010 papers
Embedded multigrid approach for real-time volumetric deformation
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Physically-based surface texture synthesis using a coupled finite element system
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Metric-aware processing of spherical imagery
ACM SIGGRAPH Asia 2010 papers
On multi-resolution point-based haptic rendering of suture
EuroHaptics'10 Proceedings of the 2010 international conference on Haptics - generating and perceiving tangible sensations: Part II
Toward high-quality modal contact sound
ACM SIGGRAPH 2011 papers
Real-time large-deformation substructuring
ACM SIGGRAPH 2011 papers
Robust real-time deformation of incompressible surface meshes
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Interactive soft object simulation with quadratic finite elements
AMDO'06 Proceedings of the 4th international conference on Articulated Motion and Deformable Objects
Hierarchical multi-resolution finite element model for soft body simulation
ISBMS'06 Proceedings of the Third international conference on Biomedical Simulation
On the local approximation power of quasi-hierarchical powell-sabin splines
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Proceedings of the 7th international conference on Curves and Surfaces
Adaptive anisotropic remeshing for cloth simulation
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Enriching coarse interactive elastic objects with high-resolution data-driven deformations
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Energetically consistent invertible elasticity
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
Energetically consistent invertible elasticity
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
Subspace integration with local deformations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Folding and crumpling adaptive sheets
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Scalable multimedia content analysis on parallel platforms using python
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
Technical Section: Adaptive cloth simulation using corotational finite elements
Computers and Graphics
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Finite element solvers are a basic component of simulation applications; they are common in computer graphics, engineering, and medical simulations. Although adaptive solvers can be of great value in reducing the often high computational cost of simulations they are not employed broadly. Indeed, building adaptive solvers can be a daunting task especially for 3D finite elements. In this paper we are introducing a new approach to produce conforming, hierarchical, adaptive refinement methods (CHARMS). The basic principle of our approach is to refine basis functions, not elements. This removes a number of implementation headaches associated with other approaches and is a general technique independent of domain dimension (here 2D and 3D), element type (e.g., triangle, quad, tetrahedron, hexahedron), and basis function order (piece-wise linear, higher order B-splines, Loop subdivision, etc.). The (un-)refinement algorithms are simple and require little in terms of data structure support. We demonstrate the versatility of our new approach through 2D and 3D examples, including medical applications and thin-shell animations.