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)
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Free-form deformations with lattices of arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Generalized barycentric coordinates on irregular polygons
Journal of Graphics Tools
Computer Aided Geometric Design
t-FFD: free-form deformation by using triangular mesh
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Globally smooth parameterizations with low distortion
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2004 Papers
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Real-time soft shadows in dynamic scenes using spherical harmonic exponentiation
ACM SIGGRAPH 2006 Papers
Subspace gradient domain mesh deformation
ACM SIGGRAPH 2006 Papers
Mean value coordinates for arbitrary planar polygons
ACM Transactions on Graphics (TOG)
Volume and shape preservation via moving frame manipulation
ACM Transactions on Graphics (TOG)
Detail-preserving fluid control
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Re-using traditional animation: methods for semi-automatic segmentation and inbetweening
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
Driving object deformations from internal physical processes
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Harmonic volumetric mapping for solid modeling applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Mesh puppetry: cascading optimization of mesh deformation with inverse kinematics
ACM SIGGRAPH 2007 papers
Handle-aware isolines for scalable shape editing
ACM SIGGRAPH 2007 papers
Gradient domain editing of deforming mesh sequences
ACM SIGGRAPH 2007 papers
Direct manipulation of subdivision surfaces on GPUs
ACM SIGGRAPH 2007 papers
A geometric construction of coordinates for convex polyhedra using polar duals
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Spherical barycentric coordinates
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
On transfinite barycentric coordinates
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
As-rigid-as-possible surface modeling
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
GPU-assisted positive mean value coordinates for mesh deformations
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Example-based skeleton extraction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
A unified, integral construction for coordinates over closed curves
Computer Aided Geometric Design
Scalable Hybrid Unstructured and Structured Grid Raycasting
IEEE Transactions on Visualization and Computer Graphics
Modeling and rendering of heterogeneous translucent materials using the diffusion equation
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2008 papers
Efficient mesh deformation using tetrahedron control mesh
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Interactive deformation using volumetric constraints
ACM SIGGRAPH 2008 posters
Non-homogeneous resizing of complex models
ACM SIGGRAPH Asia 2008 papers
Reusable skinning templates using cage-based deformations
ACM SIGGRAPH Asia 2008 papers
Geometric skinning with approximate dual quaternion blending
ACM Transactions on Graphics (TOG)
A survey of spatial deformation from a user-centered perspective
ACM Transactions on Graphics (TOG)
Transfinite mean value interpolation
Computer Aided Geometric Design
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: Content-aware model resizing based on surface deformation
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
Gradient domain mesh deformation: a survey
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
DrivenShape: a data-driven approach for shape deformation
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
Detail-preserving fluid control
Graphical Models
Transfinite mean value interpolation in general dimension
Journal of Computational and Applied Mathematics
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
Pointwise radial minimization: Hermite interpolation on arbitrary domains
SGP '08 Proceedings of the Symposium on Geometry Processing
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
Interior distance using barycentric coordinates
SGP '09 Proceedings of the Symposium on Geometry Processing
Non-uniform deformation of an STL model satisfying error criteria
Computer-Aided Design
Technical Section: Cage-based deformation transfer
Computers and Graphics
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
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
Hexahedral shell mesh construction via volumetric polycube map
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Computer Aided Geometric Design
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
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
Online reconstruction of 3D objects from arbitrary cross-sections
ACM Transactions on Graphics (TOG)
Interactive surface modeling using modal analysis
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
Edutainment'11 Proceedings of the 6th international conference on E-learning and games, edutainment technologies
Transfinite surface interpolation over irregular n-sided domains
Computer-Aided Design
Positive Gordon-Wixom coordinates
Computer-Aided Design
Multicage image deformation on GPU
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Color transfer using scattered point interpolation
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Skeleton-Driven animation transfer based on consistent volume parameterization
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
A User-editable C1-Continuous 2.5D Space Deformation Method For 3D Models
Electronic Notes in Theoretical Computer Science (ENTCS)
Sketch based 3d animation copy
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
A discrete approach to multiresolution curves and surfaces
Transactions on Computational Science VI
Parameterization of star-shaped volumes using green's functions
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
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
Simple formulas for quasiconformal plane deformations
ACM Transactions on Graphics (TOG)
Constructing hexahedral shell meshes via volumetric polycube maps
Computer-Aided Design
Detail-aware spatial deformation transfer
Computer Animation and Virtual Worlds
Video composition by optimized 3D mean-value coordinates
Computer Animation and Virtual Worlds
CageR: from 3D performance capture to cage-based representation
ACM SIGGRAPH 2012 Talks
Smooth Shape-Aware Functions with Controlled Extrema
Computer Graphics Forum
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
Template based shape descriptor
EG 3DOR'09 Proceedings of the 2nd Eurographics conference on 3D Object Retrieval
A ray tracing approach to diffusion curves
EGSR'11 Proceedings of the Twenty-second Eurographics conference on Rendering
Volumetric subspace mesh deformation with structure preservation
Computer Animation and Virtual Worlds
CageR: Cage-Based Reverse Engineering of Animated 3D Shapes
Computer Graphics Forum
Technical note: Signed Lp-distance fields
Computer-Aided Design
Sketch-based design for green geometry and image deformation
Multimedia Tools and Applications
Technical Section: Material-aware cloth simulation via constrained geometric deformation
Computers and Graphics
Robust inside-outside segmentation using generalized winding numbers
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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
*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)
Video retargeting combining warping and summarizing optimization
The Visual Computer: International Journal of Computer Graphics
PolyCut: monotone graph-cuts for PolyCube base-complex construction
ACM Transactions on Graphics (TOG)
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
Mathematical description of motion and deformation: from basics to graphics applications
SIGGRAPH Asia 2013 Courses
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Coarse-to-fine skeleton extraction for high resolution 3D meshes
Computer Vision and Image Understanding
Fast adaptive blue noise on polygonal surfaces
Graphical Models
Bounded biharmonic weights for real-time deformation
Communications of the ACM
Bijective composite mean value mappings
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
| Hi-index | 0.02 |
Constructing a function that interpolates a set of values defined at vertices of a mesh is a fundamental operation in computer graphics. Such an interpolant has many uses in applications such as shading, parameterization and deformation. For closed polygons, mean value coordinates have been proven to be an excellent method for constructing such an interpolant. In this paper, we generalize mean value coordinates from closed 2D polygons to closed triangular meshes. Given such a mesh P, we show that these coordinates are continuous everywhere and smooth on the interior of P. The coordinates are linear on the triangles of P and can reproduce linear functions on the interior of P. To illustrate their usefulness, we conclude by considering several interesting applications including constructing volumetric textures and surface deformation.