Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
A multisided generalization of Bézier surfaces
ACM Transactions on Graphics (TOG)
Free-form deformations with lattices of arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Pose space deformation: a unified approach to shape interpolation and skeleton-driven deformation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions
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
Generalized barycentric coordinates on irregular polygons
Journal of Graphics Tools
Computer Aided Geometric Design
ACM SIGGRAPH 2005 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
As-rigid-as-possible shape manipulation
ACM SIGGRAPH 2005 Papers
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
A fast multigrid algorithm for mesh deformation
ACM SIGGRAPH 2006 Papers
Learning controls for blend shape based realistic facial animation
ACM SIGGRAPH 2006 Courses
GPU-assisted positive mean value coordinates for mesh deformations
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
ACM SIGGRAPH 2008 papers
Efficient mesh deformation using tetrahedron control mesh
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Reusable skinning templates using cage-based deformations
ACM SIGGRAPH Asia 2008 papers
Geometric skinning with approximate dual quaternion blending
ACM Transactions on Graphics (TOG)
Technical Section: Layered deformation of solid model using conformal mapping
Computers and Graphics
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
iWIRES: an analyze-and-edit approach to shape manipulation
ACM SIGGRAPH 2009 papers
Variational harmonic maps for space deformation
ACM SIGGRAPH 2009 papers
Coordinates for instant image cloning
ACM SIGGRAPH 2009 papers
Efficient mesh deformation using tetrahedron control mesh
Computer Aided Geometric Design
Technical Section: Dynamic harmonic fields for surface processing
Computers and Graphics
iBind: smooth indirect binding using segmented thin-layers
SIGGRAPH 2009: Talks
Space deformations, surface deformations and the opportunities in-between
Journal of Computer Science and Technology
Rigidity constraints for large mesh deformation
Journal of Computer Science and Technology
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Bounded normal trees for reduced deformations of triangulated surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
DrivenShape: a data-driven approach for shape deformation
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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
Interactive image deformation using cage coordinates on GPU
Proceedings of the 8th International Conference on Virtual Reality Continuum and its Applications in Industry
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Frankenrigs: building character rigs from multiple sources
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
Maximum entropy coordinates for arbitrary polytopes
SGP '08 Proceedings of the Symposium on Geometry Processing
Polyhedral finite elements using harmonic basis functions
SGP '08 Proceedings of the Symposium on Geometry Processing
Technical Section: Cage-based deformation transfer
Computers and Graphics
Controllable conformal maps for shape deformation and interpolation
ACM SIGGRAPH 2010 papers
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Technical Section: WarpCurves: A tool for explicit manipulation of implicit surfaces
Computers and Graphics
Technical Section: Feature-aligned harmonic volumetric mapping using MFS
Computers and Graphics
Barycentric interpolation and mappings on smooth convex domains
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
CageIK: dual-Laplacian cage-based inverse kinematics
AMDO'10 Proceedings of the 6th international conference on Articulated motion and deformable objects
Technical Section: Fitting 3D garment models onto individual human models
Computers and Graphics
Conversion of performance mesh animation into cage-based animation
ACM SIGGRAPH ASIA 2010 Posters
ACM Transactions on Graphics (TOG)
Markerless reconstruction and synthesis of dynamic facial expressions
Computer Vision and Image Understanding
Bounded biharmonic weights for real-time deformation
ACM SIGGRAPH 2011 papers
Cage-based tracking for performance animation
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
Interactive surface modeling using modal analysis
ACM Transactions on Graphics (TOG)
Fast simulation of skeleton-driven deformable body characters
ACM Transactions on Graphics (TOG)
Pattern-aware shape deformation using sliding dockers
Proceedings of the 2011 SIGGRAPH Asia Conference
Compression and direct manipulation of complex blendshape models
Proceedings of the 2011 SIGGRAPH Asia Conference
Technical Section: Skeleton driven animation based on implicit skinning
Computers and Graphics
Character rigging, deformations, and simulations in film and game production
ACM SIGGRAPH 2011 Courses
Positive Gordon-Wixom coordinates
Computer-Aided Design
Video-based toon character from surface performance capture
SIGGRAPH Asia 2011 Sketches
Multicage image deformation on GPU
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
A User-editable C1-Continuous 2.5D Space Deformation Method For 3D Models
Electronic Notes in Theoretical Computer Science (ENTCS)
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Fast automatic skinning transformations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
SMI 2012: Short VoxMorph: 3-scale freeform deformation of large voxel grids
Computers and Graphics
SMI 2012: Full As-conformal-as-possible discrete volumetric mapping
Computers and Graphics
Skin-Detached surface for interactive large mesh editing
Transactions on Edutainment VII
Topologically correct reconstruction of tortuous contour forests
Computer-Aided Design
Detail-aware spatial deformation transfer
Computer Animation and Virtual Worlds
Smooth Shape-Aware Functions with Controlled Extrema
Computer Graphics Forum
A matrix hyperbolic cosine algorithm and applications
ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part I
Elasticity-inspired deformers for character articulation
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
KinÊtre: animating the world with the human body
Proceedings of the 25th annual ACM symposium on User interface software and technology
Error estimates for generalized barycentric interpolation
Advances in Computational Mathematics
Volumetric subspace mesh deformation with structure preservation
Computer Animation and Virtual Worlds
Computer Graphics Forum
CageR: Cage-Based Reverse Engineering of Animated 3D Shapes
Computer Graphics Forum
Content-aware exaggerated editing for life-like captured animations
Proceedings of the 9th European Conference on Visual Media Production
Sketch-based design for green geometry and image deformation
Multimedia Tools and Applications
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Injective and bounded distortion mappings in 3D
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Two-layer sparse compression of dense-weight blend skinning
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Rectangling panoramic images via warping
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
Geodesic voxel binding for production character meshes
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
*Cages:: A multilevel, multi-cage-based system for mesh deformation
ACM Transactions on Graphics (TOG)
Technical Section: Planar shape interpolation using relative velocity fields
Computers and Graphics
Harmonic parameterization by electrostatics
ACM Transactions on Graphics (TOG)
Shape-aware skeletal deformation for 2D characters
The Visual Computer: International Journal of Computer Graphics
Footwear bio-modelling: An industrial approach
Computer-Aided Design
Iterative cage-based registration from multi-view silhouettes
Proceedings of the 10th European Conference on Visual Media Production
Real-time content-aware texturing for deformable surfaces
Proceedings of the 10th European Conference on Visual Media Production
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Bounded biharmonic weights for real-time deformation
Communications of the ACM
Arbitrary order Trefftz-like basis functions on polygonal meshes and realization in BEM-based FEM
Computers & Mathematics with Applications
Bijective composite mean value mappings
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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In this paper we consider the problem of creating and controlling volume deformations used to articulate characters for use in high-end applications such as computer generated feature films. We introduce a method we call harmonic coordinates that significantly improves upon existing volume deformation techniques. Our deformations are controlled using a topologically flexible structure, called a cage, that consists of a closed three dimensional mesh. The cage can optionally be augmented with additional interior vertices, edges, and faces to more precisely control the interior behavior of the deformation. We show that harmonic coordinates are generalized barycentric coordinates that can be extended to any dimension. Moreover, they are the first system of generalized barycentric coordinates that are non-negative even in strongly concave situations, and their magnitude falls off with distance as measured within the cage.