Good vibrations: modal dynamics for graphics and animation
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
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Synthesizing physically realistic human motion in low-dimensional, behavior-specific spaces
ACM SIGGRAPH 2004 Papers
Modal Warping: Real-Time Simulation of Large Rotational Deformation and Manipulation
IEEE Transactions on Visualization and Computer Graphics
Real-Time subspace integration for St. Venant-Kirchhoff deformable models
ACM SIGGRAPH 2005 Papers
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Model reduction for real-time fluids
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Key Point Subspace Acceleration and soft caching
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Embedded deformation for shape manipulation
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On Linear Variational Surface Deformation Methods
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Real-time control of physically based simulations using gentle forces
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Deformable object animation using reduced optimal control
ACM SIGGRAPH 2009 papers
Harmonic shells: a practical nonlinear sound model for near-rigid thin shells
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Skipping steps in deformable simulation with online model reduction
ACM SIGGRAPH Asia 2009 papers
Interactive Shape Interpolation through Controllable Dynamic Deformation
IEEE Transactions on Visualization and Computer Graphics
Interactive surface modeling using modal analysis
ACM Transactions on Graphics (TOG)
ACM Transactions on Mathematical Software (TOMS)
Interactive editing of deformable simulations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Interactive spacetime control of deformable objects
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Fast automatic skinning transformations
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Hard Thresholding Pursuit: An Algorithm for Compressive Sensing
SIAM Journal on Numerical Analysis
Subspace integration with local deformations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Interactive authoring of simulation-ready plants
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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Many efficient computational methods for physical simulation are based on model reduction. We propose new model reduction techniques for the approximation of reduced forces and for the construction of reduced shape spaces of deformable objects that accelerate the construction of a reduced dynamical system, increase the accuracy of the approximation, and simplify the implementation of model reduction. Based on the techniques, we introduce schemes for real-time simulation of deformable objects and interactive deformation-based editing of triangle or tet meshes. We demonstrate the effectiveness of the new techniques in different experiments with elastic solids and shells and compare them to alternative approaches.