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
Direct manipulation of free-form deformations
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Simple constrained deformations for geometric modeling and interactive design
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Image warping by radial basis functions: applications to facial expressions
CVGIP: Graphical Models and Image Processing
Animating images with drawings
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Image metamorphosis using snakes and free-form deformations
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Feature-based volume metamorphosis
SIGGRAPH '95 Proceedings of the 22nd 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
Geometric deformation by merging a 3D-object with a simple shape
GI '96 Proceedings of the conference on Graphics interface '96
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Wires: a geometric deformation technique
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Texture mapping for cel animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Deforming geometric models based on a polygonal skeleton mesh
Journal of Graphics Tools
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Digital Image Warping
Image Metamorphosis with Scattered Feature Constraints
IEEE Transactions on Visualization and Computer Graphics
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Topology alteration for virtual sculpting using spatial deformation
Proceedings of the 2nd international conference on Computer graphics, virtual Reality, visualisation and interaction in Africa
Twister: a space-warp operator for the two-handed editing of 3D shapes
ACM SIGGRAPH 2003 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
IEEE Transactions on Visualization and Computer Graphics
Bender: a virtual ribbon for deforming 3D shapes in biomedical and styling applications
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Large mesh deformation using the volumetric graph Laplacian
ACM SIGGRAPH 2005 Papers
As-rigid-as-possible shape manipulation
ACM SIGGRAPH 2005 Papers
Large object segmentation with region priority rendering
ACSC '05 Proceedings of the Twenty-eighth Australasian conference on Computer Science - Volume 38
Subspace gradient domain mesh deformation
ACM SIGGRAPH 2006 Papers
Interactive environment-aware display bubbles
UIST '06 Proceedings of the 19th annual ACM symposium on User interface software and technology
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Mean value coordinates for arbitrary planar polygons
ACM Transactions on Graphics (TOG)
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
Efficient mesh deformation using tetrahedron control mesh
Proceedings of the 2008 ACM symposium on Solid and physical modeling
A survey of spatial deformation from a user-centered perspective
ACM Transactions on Graphics (TOG)
Proceedings of the 2009 symposium on Interactive 3D graphics and games
iWIRES: an analyze-and-edit approach to shape manipulation
ACM SIGGRAPH 2009 papers
Efficient mesh deformation using tetrahedron control mesh
Computer Aided Geometric Design
Technical section: Image centric finite element simulation
Computers and Graphics
Technical Section: WarpCurves: A tool for explicit manipulation of implicit surfaces
Computers and Graphics
An efficient virtual aesthetic surgery model based on 2d color photograph
PCM'05 Proceedings of the 6th Pacific-Rim conference on Advances in Multimedia Information Processing - Volume Part II
Hermite approximation for free-form deformation of curves and surfaces
Computer-Aided Design
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Enhanced Texture-Based Terrain Synthesis on Graphics Hardware
Computer Graphics Forum
As-rigid-as-possible mesh deformation and its application in hexahedral mesh generation
Advances in Engineering Software
Differential-Based Geometry and Texture Editing with Brushes
Journal of Mathematical Imaging and Vision
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We present a framework for geometric warps and deformations. The framework provides a conceptual and mathematical foundation for analyzing known warps and for developing new warps, and serves as a common base for many warps and deformations. Our framework is composed of two components: a generic modular algorithm for warps and deformations; and a concise, geometrically meaningful formula that describes how warps are evaluated. Together, these two elements comprise a complete framework useful for analyzing, evaluating, designing, and implementing deformation algorithms. While the framework is independent of user-interfaces and geometric model representations and is formally capable of describing any warping algorithm, its design is geared toward the most prevalent class of user-controlled deformations: those computed using geometric operations. To demonstrate the expressive power of the framework, we cast several well-known warps in terms of the framework. To illustrate the framework's usefulness for analyzing and modifying existing warps, we present variations of these warps that provide additional functionality or improved behavior. To show the utility of the framework for developing new warps, we design a novel 3-D warping algorithm: a mesh warp---useful as a modeling and animation tool---that allows users to deform a detailed surface by manipulating a low-resolution mesh of similar shape. Finally, to demonstrate the mathematical utility of the framework, we use the framework to develop guarantees of several mathematical properties such as commutativity and continuity for large classes of deformations.