Non-polynomial Galerkin projection on deforming meshes
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Adrien Treuille | Srinivasa G. Narasimhan | Yu Sheng | Martin Wicke | Federico Perazzi | Matt Stanton | Amos Yuen | Adrien Treuille | Federico Perazzi | S. Narasimhan | M. Wicke | Matt Stanton | Yu Sheng | Amos Yuen
[1] K. Olsson,et al. Model Order Reduction with Rational Krylov Methods , 2005 .
[2] J. Marsden,et al. Reduction and reconstruction for self-similar dynamical systems , 2002 .
[3] Jernej Barbic,et al. Precomputed acoustic transfer: output-sensitive, accurate sound generation for geometrically complex vibration sources , 2006, ACM Trans. Graph..
[4] Doug L. James,et al. Harmonic shells: a practical nonlinear sound model for near-rigid thin shells , 2009, ACM Trans. Graph..
[5] Theodore Kim,et al. Skipping steps in deformable simulation with online model reduction , 2009, ACM Trans. Graph..
[6] J. Marsden,et al. Reconstruction equations and the Karhunen—Loéve expansion for systems with symmetry , 2000 .
[7] Habib N. Najm,et al. Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes , 2005, SIAM J. Sci. Comput..
[8] Doug L. James,et al. Precomputing interactive dynamic deformable scenes , 2003, ACM Trans. Graph..
[9] Doug L. James,et al. Harmonic shells: a practical nonlinear sound model for near-rigid thin shells , 2009, SIGGRAPH 2009.
[10] Doug L. James,et al. Real-Time subspace integration for St. Venant-Kirchhoff deformable models , 2005, SIGGRAPH 2005.
[11] C. Farhat,et al. Efficient non‐linear model reduction via a least‐squares Petrov–Galerkin projection and compressive tensor approximations , 2011 .
[12] George Drettakis,et al. Interactive update of global illumination using a line-space hierarchy , 1997, SIGGRAPH.
[13] Kenny Mitchell,et al. Modular Radiance Transfer , 2011, ACM Trans. Graph..
[14] Jan Kautz,et al. Precomputed radiance transfer for real-time rendering in dynamic, low-frequency lighting environments , 2002 .
[15] J. Phillips,et al. Model reduction of time-varying linear systems using approximate multipoint Krylov-subspace projectors , 1998, 1998 IEEE/ACM International Conference on Computer-Aided Design. Digest of Technical Papers (IEEE Cat. No.98CB36287).
[16] Peter Benner,et al. Projection‐Based Model Reduction for Time‐Varying Descriptor Systems Using Recycled Krylov Subspaces , 2008 .
[17] John Hart,et al. ACM Transactions on Graphics , 2004, SIGGRAPH 2004.
[18] Keenan Crane,et al. Energy-preserving integrators for fluid animation , 2009, ACM Trans. Graph..
[19] Adrien Treuille,et al. Modular bases for fluid dynamics , 2009, SIGGRAPH 2009.
[20] Peter-Pike J. Sloan,et al. Local, deformable precomputed radiance transfer , 2005, SIGGRAPH 2005.
[21] Z. Popovic,et al. Model reduction for real-time fluids , 2006, SIGGRAPH 2006.
[22] James F. O'Brien,et al. Animating gases with hybrid meshes , 2005, ACM Trans. Graph..
[23] J. Marsden,et al. Structure-preserving discretization of incompressible fluids , 2009, 0912.3989.
[24] Jing-Rebecca Li. Model reduction of large linear systems via low rank system gramians , 2000 .
[25] Peter-Pike J. Sloan,et al. Delta radiance transfer , 2012, I3D '12.
[26] Yiying Tong,et al. Stable, circulation-preserving, simplicial fluids , 2006, SIGGRAPH Courses.
[27] Henrik Sandberg,et al. Balanced truncation of linear time-varying systems , 2004, IEEE Transactions on Automatic Control.
[28] Jernej Barbic,et al. Real-time control of physically based simulations using gentle forces , 2008, ACM Trans. Graph..
[29] Xiaolong Yuan,et al. Model Order Reduction via Rational Transfer Function Fitting and Eigenmode Analysis , 2008 .
[30] Herman Deconinck,et al. Residual Distribution Schemes: Foundations and Analysis , 2007 .
[31] Olga Sorkine-Hornung,et al. Differential Representations for Mesh Processing , 2006, Comput. Graph. Forum.
[32] James F. O'Brien,et al. Fluid animation with dynamic meshes , 2006, SIGGRAPH 2006.
[33] James F. O'Brien,et al. Fluids in deforming meshes , 2005, SCA '05.
[34] Chen Shen,et al. Interactive Deformation Using Modal Analysis with Constraints , 2003, Graphics Interface.
[35] Paul Van Dooren,et al. Model Reduction of Time-Varying Systems , 2005 .
[36] Theodore Kim,et al. Optimizing cubature for efficient integration of subspace deformations , 2008, SIGGRAPH Asia '08.
[37] Herman Deconinck,et al. An ALE Formulation of the Multidimensional Residual Distribution Scheme for Computations on Moving Meshes , 2009 .
[38] Theodore Kim,et al. Skipping steps in deformable simulation with online model reduction , 2009, SIGGRAPH 2009.
[39] Dimitris N. Metaxas,et al. Realistic Animation of Liquids , 1996, Graphics Interface.
[40] James F. O'Brien,et al. Fluid animation with dynamic meshes , 2006, ACM Trans. Graph..
[41] A. Antoulas,et al. A Rational Krylov Iteration for Optimal H 2 Model Reduction , 2006 .
[42] Yunkai Zhou. Numerical methods for large scale matrix equations with applications in LTI system model reduction , 2002 .
[43] Donald P. Greenberg,et al. Design and simulation of opera lighting and projection effects , 1991, SIGGRAPH.
[44] A. Antoulas,et al. A Survey of Model Reduction by Balanced Truncation and Some New Results , 2004 .
[45] Geir E. Dullerud,et al. Model Reduction of Nonstationary LPV Systems , 2007, IEEE Transactions on Automatic Control.
[46] Ming C. Lin,et al. Fast Fluid Simulation Using Residual Distribution Schemes , 2007, NPH.
[47] Donald P. Greenberg,et al. Modeling the interaction of light between diffuse surfaces , 1984, SIGGRAPH.
[48] Jonathan Richard Shewchuk,et al. Aggressive Tetrahedral Mesh Improvement , 2007, IMR.
[49] Jos Stam,et al. Stable fluids , 1999, SIGGRAPH.
[50] Eugene Fiume,et al. Fluid simulation using Laplacian eigenfunctions , 2012, TOGS.
[51] Doug L. James,et al. Optimizing cubature for efficient integration of subspace deformations , 2008, SIGGRAPH 2008.
[52] Eric James Grimme,et al. Krylov Projection Methods for Model Reduction , 1997 .
[53] Greg Humphreys,et al. Physically Based Rendering: From Theory to Implementation , 2004 .
[54] Tatjana Stykel,et al. Rational interpolation , minimal realization and model reduction , 2007 .
[55] Doug L. James,et al. Physics-Based Character Skinning Using Multidomain Subspace Deformations , 2011, IEEE Transactions on Visualization and Computer Graphics.
[56] Jernej Barbic,et al. Real-Time subspace integration for St. Venant-Kirchhoff deformable models , 2005, ACM Trans. Graph..
[57] Dinesh K. Pai,et al. Precomputed acoustic transfer: output-sensitive, accurate sound generation for geometrically complex vibration sources , 2006, SIGGRAPH 2006.
[58] Theodore Kim,et al. Subspace fluid re-simulation , 2013, ACM Trans. Graph..
[59] Adrien Treuille,et al. To appear in the ACM SIGGRAPH conference proceedings Modular Bases for Fluid Dynamics , 2022 .
[60] Paul Van Dooren,et al. A rational Lanczos algorithm for model reduction , 1996, Numerical Algorithms.
[61] Berkant Savas,et al. Krylov Subspace Methods for Tensor Computations , 2009 .
[62] Dinesh K. Pai,et al. DyRT: dynamic response textures for real time deformation simulation with graphics hardware , 2002, SIGGRAPH.
[63] Ryan F. Schmit,et al. Low Dimensional Tools for Flow-Structure Interaction Problems: Application to Micro Air Vehicles , 2003 .
[64] Daniel C. Haworth,et al. Application of the proper orthogonal decomposition to datasets of internal combustion engine flows , 2004 .
[65] Andrew Lewis,et al. Model reduction for real-time fluids , 2006, SIGGRAPH '06.
[66] Mohit Gupta,et al. Legendre fluids: a unified framework for analytic reduced space modeling and rendering of participating media , 2007, SCA '07.
[67] Yiying Tong,et al. Stable, circulation-preserving, simplicial fluids , 2007, TOGS.
[68] Pierre Alliez,et al. Computational geometry algorithms library , 2008, SIGGRAPH '08.
[69] Alex Pentland,et al. Good vibrations: modal dynamics for graphics and animation , 1989, SIGGRAPH.
[70] O. Sorkine. Differential Representations for Mesh Processing , 2006 .
[71] Pat Hanrahan,et al. A rapid hierarchical radiosity algorithm , 1991, SIGGRAPH.
[72] Peter-Pike J. Sloan,et al. Local, deformable precomputed radiance transfer , 2005, ACM Trans. Graph..
[73] Gene H. Golub,et al. Numerical solution of saddle point problems , 2005, Acta Numerica.
[74] Jernej Barbič,et al. Real-time control of physically based simulations using gentle forces , 2008, SIGGRAPH 2008.
[75] Harold R. Zatz. Galerkin radiosity: a higher order solution method for global illumination , 1993, SIGGRAPH.