Real-Time subspace integration for St. Venant-Kirchhoff deformable models

By Jernej Barbic, Doug L. James. ACM Transactions on Graphics, 2005

526 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ae333db5f29238144222bfb57774fbbd9b9513a2

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Citations in the corpus

Model order reduction for hyperelastic materials (2010, methodology): “But similar techniques are employed in many other branches of Engineering and Applied Sciences: real-time simulation [3], Chemical Engineering [14], turbulence [19], weather forecast [12] and many others, linking back to the seminal works of Karhunen [9] and Loève [11].”
Model reduction for real-time fluids (2006, unknown): “More generally, if F is an n-dimensional polynomial, thenˆF is an m-dimensional polynomial of the same degree which can be computed in closed form without resorting to the high-dimensional space [Barbič and James 2005].”
Nonlinear model order reduction for flexible multibody dynamics: a modal derivatives approach (2016, background): “Interesting applications are also found in computer graphics and haptics [19, 20].”
Structure‐preserving, stability, and accuracy properties of the energy‐conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models (2015, background): “y/ [14] is an alternative to hyper reduction.”
To appear in the ACM SIGGRAPH conference proceedings Modular Bases for Fluid Dynamics (unknown): “Model reduction has been used in a number of other branches of graphics including nonlinear deformation [James and Fatahalian 2003], finite element methods [Barbič and James 2005], and precomputed radiance transfer [Sloan et al. 2002].”
Boundary-Aware Multidomain Subspace Deformation (2013, background): “Alternatively, nonlinear deformation can also be captured with modal derivatives [31], which extends the linear deformation subspace to the parabolic subspace.”
FEM simulation of 3D deformable solids: a practitioner's guide to theory, discretization and model reduction (2012, methodology): “[18] D.L. James andD.”
Physically Based Deformable Models in Computer Graphics (2006, methodology): “Barbič and James [159] take a different approach: instead of employing Cauchy’s linearized strain (Equation (2)) they use full quadratic Green strain (Equation (1)) throughout the entire computation, thereby necessitating the solution of a nonlinear version of Equation (20) per time step.”
Reduction Method for Finite Element Nonlinear Dynamic Analysis of Shells (2011, background): “A recent interesting application of modal derivatives can be found in the computer-graphics world [20], although the attention is more focused on a realistic representation of the deformation rather than on the actual accuracy of the reduced solution.”
Nonrigid Structure-from-Motion: Estimating Shape and Motion with Hierarchical Priors (2008, background): “The use of linear subspaces can also be motivated by noting that many physical systems (such as linear materials) can be accurately represented with linear subspaces (for example, [1]).”
Optimal second order reduction basis selection for nonlinear transient analysis (2011, background): “An interesting application of modal derivatives can be found in the computergraphics world, [1] although the attention is more focused on a realistic representation of the deformation rather than on the actual accuracy of the reduced solution.”