The modified truncated SVD method for regularization in general form
SIAM Journal on Scientific and Statistical Computing
Computer Aided Geometric Design
Differential Coordinates for Interactive Mesh Editing
SMI '04 Proceedings of the Shape Modeling International 2004
Deformation transfer for triangle meshes
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2005 Papers
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Editing arbitrarily deforming surface animations
ACM SIGGRAPH 2006 Papers
Subspace gradient domain mesh deformation
ACM SIGGRAPH 2006 Papers
Inverse kinematics for reduced deformable models
ACM SIGGRAPH 2006 Papers
Segmenting a deforming mesh into near-rigid components
The Visual Computer: International Journal of Computer Graphics
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Gradient domain editing of deforming mesh sequences
ACM SIGGRAPH 2007 papers
As-rigid-as-possible surface modeling
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
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2008 papers
Performance capture from sparse multi-view video
ACM SIGGRAPH 2008 papers
Variational harmonic maps for space deformation
ACM SIGGRAPH 2009 papers
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
On selecting a maximum volume sub-matrix of a matrix and related problems
Theoretical Computer Science
Cage-based tracking for performance animation
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
Stretchable and Twistable Bones for Skeletal Shape Deformation
Proceedings of the 2011 SIGGRAPH Asia Conference
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We present CageR: A novel framework for converting animated 3D shape sequences into compact and stable cage-based representations. Given a raw animated sequence with one-to-one point correspondences together with an initial cage embedding, our algorithm automatically generates smoothly varying cage embeddings which faithfully reconstruct the enclosed object deformation. Our technique is fast, automatic, oblivious to the cage coordinate system, provides controllable error and exploits a GPU implementation. At the core of our method, we introduce a new algebraic algorithm based on maximum volume sub-matrices (maxvol) to speed up and stabilize the deformation inversion. We also present a new spectral regularization algorithm that can apply arbitrary regularization terms on selected subparts of the inversion spectrum. This step allows to enforce a highly localized cage regularization, guaranteeing its smooth variation along the sequence. We demonstrate the speed, accuracy and robustness of our framework on various synthetic and acquired data sets. The benefits of our approach are illustrated in applications such as animation compression and post-editing. © 2012 Wiley Periodicals, Inc.