SMI '04 Proceedings of the Shape Modeling International 2004
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Subspace gradient domain mesh deformation
ACM SIGGRAPH 2006 Papers
Volume and shape preservation via moving frame manipulation
ACM Transactions on Graphics (TOG)
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Embedded deformation for shape manipulation
ACM SIGGRAPH 2007 papers
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
Skeleton extraction by mesh contraction
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH 2008 papers
A local/global approach to mesh parameterization
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
Proceedings of the 2009 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
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
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
Markerless reconstruction and synthesis of dynamic facial expressions
Computer Vision and Image Understanding
Bounded biharmonic weights for real-time deformation
ACM SIGGRAPH 2011 papers
Spin transformations of discrete surfaces
ACM SIGGRAPH 2011 papers
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
Technical Section: Skeleton driven animation based on implicit skinning
Computers and Graphics
Multicage image deformation on GPU
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
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
Example-based inverse kinematics using cage
Computer Animation and Virtual Worlds
Pose space surface manipulation
International Journal of Computer Games Technology
KinÊtre: animating the world with the human body
Proceedings of the 25th annual ACM symposium on User interface software and technology
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
Technical note: Hierarchical feature subspace for structure-preserving deformation
Computer-Aided Design
Content-aware exaggerated editing for life-like captured animations
Proceedings of the 9th European Conference on Visual Media Production
Direct manipulation of free-form deformation using curve-pairs
Computer-Aided Design
Injective and bounded distortion mappings in 3D
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Map-based exploration of intrinsic shape differences and variability
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
*Cages:: A multilevel, multi-cage-based system for mesh deformation
ACM Transactions on Graphics (TOG)
An efficient construction of reduced deformable objects
ACM Transactions on Graphics (TOG)
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
Dirichlet energy for analysis and synthesis of soft maps
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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A space deformation is a mapping from a source region to a target region within Euclidean space, which best satisfies some userspecified constraints. It can be used to deform shapes embedded in the ambient space and represented in various forms -- polygon meshes, point clouds or volumetric data. For a space deformation method to be useful, it should possess some natural properties: e.g. detail preservation, smoothness and intuitive control. A harmonic map from a domain ω ⊂ Rd to Rd is a mapping whose d components are harmonic functions. Harmonic mappings are smooth and regular, and if their components are coupled in some special way, the mapping can be detail-preserving, making it a natural choice for space deformation applications. The challenge is to find a harmonic mapping of the domain, which will satisfy constraints specified by the user, yet also be detail-preserving, and intuitive to control. We generate harmonic mappings as a linear combination of a set of harmonic basis functions, which have a closed-form expression when the source region boundary is piecewise linear. This is done by defining an energy functional of the mapping, and minimizing it within the linear span of these basis functions. The resulting mapping is harmonic, and a natural "As-Rigid-As-Possible" deformation of the source region. Unlike other space deformation methods, our approach does not require an explicit discretization of the domain. It is shown to be much more efficient, yet generate comparable deformations to state-of-the-art methods. We describe an optimization algorithm to minimize the deformation energy, which is robust, provably convergent, and easy to implement.