Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
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
Feature-based image metamorphosis
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Direct manipulation of free-form deformations
SIGGRAPH '92 Proceedings of the 19th 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
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
Wires: a geometric deformation technique
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A framework for geometric warps and deformations
ACM Transactions on Graphics (TOG)
Computer Aided Geometric Design
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
GI '04 Proceedings of the 2004 Graphics Interface Conference
Deformation transfer for triangle meshes
ACM SIGGRAPH 2004 Papers
An intuitive framework for real-time freeform modeling
ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Proceedings of the 2005 symposium on Interactive 3D graphics and games
Smooth subdivision of tetrahedral meshes
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Large mesh deformation using the volumetric graph Laplacian
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
A sketch-based interface for detail-preserving mesh editing
ACM SIGGRAPH 2005 Papers
Image deformation using moving least squares
ACM SIGGRAPH 2006 Papers
Subspace gradient domain mesh deformation
ACM SIGGRAPH 2006 Papers
Inverse kinematics for reduced deformable models
ACM SIGGRAPH 2006 Papers
Geometrically based potential energy for simulating deformable objects
The Visual Computer: International Journal of Computer Graphics
An efficient large deformation method using domain decomposition
Computers and Graphics
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Mesh puppetry: cascading optimization of mesh deformation with inverse kinematics
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
Computer Aided Geometric Design
Volumetric subspace mesh deformation with structure preservation
Computer Animation and Virtual Worlds
*Cages:: A multilevel, multi-cage-based system for mesh deformation
ACM Transactions on Graphics (TOG)
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It is a challenging problem to interactively deform densely sampled complex objects. This paper proposed an easy but efficient approach to it by using coarse control meshes to embed the target objects. The control mesh can be efficiently deformed by various existing methods, and then the target object can be accordingly deformed by interpolation. One of the most simplest interpolation methods is to use the barycentric coordinates, which however generates apparent first-order discontinuity artifacts across the boundary due to its piecewise linear property. To avoid such artifacts, this paper introduced a modified barycentric interpolation (modified-BI) technique. The central idea is to add a local transformation at each control vertex for interpolation, so that we can minimize the first-order discontinuity by optimizing the local transformations. We also minimize the second order derivatives of the interpolation function to avoid undesired vibrations. While focus on deforming 3D objects embed in tetrahedron meshes, the proposed method is applicable to 2D image objects embed in planar triangular meshes. The experimental results in both 2D and 3D demonstrated the success and advantages of the proposed method.