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SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
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SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
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Shape transformation for polyhedral objects
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Metamorphosis of 3D Polyhedral Models Using Progressive Connectivity Transformations
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Meshless deformations based on shape matching
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Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
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Large mesh deformation using the volumetric graph Laplacian
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As-rigid-as-possible shape manipulation
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Directable animation of elastic objects
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A fast multigrid algorithm for mesh deformation
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Inverse kinematics for reduced deformable models
ACM SIGGRAPH 2006 Papers
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Character animation from 2D pictures and 3D motion data
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Volume and shape preservation via moving frame manipulation
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Actual morphing: a physics-based approach to blending
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Re-using traditional animation: methods for semi-automatic segmentation and inbetweening
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Stretch-based tetrahedral mesh manipulation
GI '07 Proceedings of Graphics Interface 2007
Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
Gradient domain editing of deforming mesh sequences
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 courses
Reconstruction of deforming geometry from time-varying point clouds
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As-rigid-as-possible surface modeling
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Example-based skeleton extraction
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Interactive physically-based shape editing
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As-rigid-as-possible shape deformation and interpolation
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Rigid shape interpolation using normal equations
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ACM SIGGRAPH 2009 papers
Interactive physically-based shape editing
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3D morphing using strain field interpolation
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As-rigid-as-possible image registration for hand-drawn cartoon animations
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Rigidity constraints for large mesh deformation
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ACM SIGGRAPH 2010 papers
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EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
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VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
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Mathematical analysis on affine maps for 2D shape interpolation
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Efficient simulation of example-based materials
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Mathematical analysis on affine maps for 2D shape interpolation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Tweening boundary curves of non-simple immersions of a disk
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Implant Deformation on Digital Preoperative Planning of Lower Extremities Fractures
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Feature-Preserved 3D Canonical Form
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Planar shape interpolation with bounded distortion
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Real-time image-based animation using morphing with human skeletal tracking
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Technical Section: Planar shape interpolation using relative velocity fields
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Digital geometry processing with discrete exterior calculus
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Image warping for retargeting garments among arbitrary poses
The Visual Computer: International Journal of Computer Graphics
Shape-aware skeletal deformation for 2D characters
The Visual Computer: International Journal of Computer Graphics
As-rigid-as-possible mesh deformation and its application in hexahedral mesh generation
Advances in Engineering Software
Mathematical description of motion and deformation: from basics to graphics applications
SIGGRAPH Asia 2013 Courses
Bijective composite mean value mappings
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We present an object-space morphing technique that blends the interiors of given two- or three-dimensional shapes rather than their boundaries. The morph is rigid in the sense that local volumes are least-distorting as they vary from their source to target configurations. Given a boundary vertex correspondence, the source and target shapes are decomposed into isomorphic simplicial complexes. For the simplicial complexes, we find a closed-form expression allocating the paths of both boundary and interior vertices from source to target locations as a function of time. Key points are the identification of the optimal simplex morphing and the appropriate definition of an error functional whose minimization defines the paths of the vertices. Each pair of corresponding simplices defines an affine transformation, which is factored into a rotation and a stretching transformation. These local transformations are naturally interpolated over time and serve as the basis for composing a global coherent least-distorting transformation.