Principal Geodesic Dynamics (English)

in ACM SIGGRAPH/ Eurographics Symposium on Computer Animation ; 235-244
ACM SIGGRAPH/ Eurographics Symposium on Computer Animation
The Eurographics Association , Postfach 2926, 38629 Goslar, Germany; 2012

This paper presents a new integration of a data-driven approach using dimension reduction and a physicallybased simulation for real-time character animation. We exploit Lie group statistical analysis techniques (Principal Geodesic Analysis, PGA) to approximate the pose manifold of a motion capture sequence by a reduced set of pose geodesics. We integrate this kinematic parametrization into a physically-based animation approach of virtual characters, by using the PGA-reduced parametrization directly as generalized coordinates of a Lagrangian formulation of mechanics. In order to achieve real-time without sacrificing stability, we derive an explicit time integrator by approximating existing variational integrators. Finally, we test our approach in task-space motion control. By formulating both physical simulation and inverse kinematics time stepping schemes as two quadratic programs, we propose a features-based control algorithm that interpolates between the two metrics. This allows for an intuitive trade-off between realistic physical simulation and controllable kinematic manipulation.

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Table of contents conference proceedings

The table of contents of the conference proceedings is generated automatically, so it can be incomplete, although all articles are available in the TIB.

1
Efficient Simulation of Example-Based Materials
Schumacher, Christian / Thomaszewski, Bernhard / Coros, Stelian / Martin, Sebastian / Sumner, Robert / Gross, Markus | 2012
9
Enriching Coarse Interactive Elastic Objects with High-Resolution Data-Driven Deformations
Seiler, Martin / Spillmann, Jonas / Harders, Matthias | 2012
19
Real-Time Example-Based Elastic Deformation
Koyama, Yuki / Takayama, Kenshi / Umetani, Nobuyuki / Igarashi, Takeo | 2012
25
Energetically Consistent Invertible Elasticity
Stomakhin, Alexey / Howes, Russell / Schroeder, Craig / Teran, Joseph M. | 2012
33
Combining Marker-based Mocap and RGB-D Camera for Acquiring High-fidelity Hand Motion Data
Zhao, Wenping / Chai, Jinxiang / Xu, Ying-Qing | 2012
43
Finger Walking: Motion Editing with Contact-Based Hand Performance
Lockwood, Noah / Singh, Karan | 2012
53
Interactive Steering of Mesh Animations
Vögele, Anna / Hermann, Max / Krüger, Björn / Klein, Reinhard | 2012
59
Occlusion-free Camera Control for Multiple Targets
Christie, Marc / Normand, Jean-Marie / Olivier, Patrick | 2012
65
Efficient Composition for Virtual Camera Control
Lino, Christophe / Christie, Marc | 2012
71
Mathematical Analysis on Affine Maps for 2D Shape Interpolation
Kaji, Shizuo / Hirose, Sampei / Sakata, Shigehiro / Mizoguchi, Yoshihiro / Anjyo, Ken | 2012
77
Smoke Sheets for Graph-Structured Vortex Filaments
Barnat, Alfred / Pollard, Nancy S. | 2012
87
Linear-Time Smoke Animation with Vortex Sheet Meshes
Brochu, Tyson / Keeler, Todd / Bridson, Robert | 2012
97
Multiphase Flow of Immiscible Fluids on Unstructured Moving Meshes
Misztal, Marek Krzysztof / Erleben, Kenny / Bargteil, Adam / Fursund, Jens / Christensen, Brian Bunch / Bærentzen, J. Andreas / Bridson, Robert | 2012
107
Simulating Free Surface Flow with Very Large Time Steps
Lentine, Michael / Cong, Matthew / Patkar, Saket / Fedkiw, Ronald | 2012
117
Tiling Motion Patches
Kim, Manmyung / Hwang, Youngseok / Hyun, Kyunglyul / Lee, Jehee | 2012
127
Precomputed Motion Maps for Unstructured Motion Capture
Mahmudi, Mentar / Kallmann, Marcelo | 2012
137
Contact-Invariant Optimization for Hand Manipulation
Mordatch, Igor / Popovic, Zoran / Todorov, Emanuel | 2012
145
Learning Motion Controllers with Adaptive Depth Perception
Lo, Wan-Yen / Knaus, Claude / Zwicker, Matthias | 2012
155
Task-driven Posture Optimization for Virtual Characters
Liu, Mingxing / Micaelli, Alain / Evrard, Paul / Escande, Adrien | 2012
165
Component-based Locomotion Composition
Kim, Yejin / Neff, Michael | 2012
175
Evaluating the Plausibility of Edited Throwing Animations
Vicovaro, Michele / Hoyet, Ludovic / Burigana, Luigi / O'Sullivan, Carol | 2012
183
Quaternion Space Sparse Decomposition for Motion Compression and Retrieval
Zhu, Mingyang / Sun, Huaijiang / Deng, Zhigang | 2012
193
Environment-aware Real-Time Crowd Control
Henry, Joseph / Shum, Hubert P. H. / Komura, Taku | 2012
201
Cloning Crowd Motions
Li, Yi / Christie, Marc / Siret, Orianne / Kulpa, Richard / Pettré, Julien | 2012
211
Simple Data-Driven Control for Simulated Bipeds
Geijtenbeek, T. / Pronost, Nicolas / Stappen, A. F. van der | 2012
221
Physically Plausible Simulation for Character Animation
Levine, Sergey / Popovic, Jovan | 2012
231
Misconceptions of PD Control in Animation
Allen, Brian F. / Faloutsos, Petros | 2012
235
Principal Geodesic Dynamics
Tournier, Maxime / Reveret, Lionel | 2012
245
Mass-Conserving Eulerian Liquid Simulation
Chentanez, Nuttapong / Müller, Matthias | 2012
255
Controlling Liquids Using Meshes
Raveendran, Karthik / Thuerey, Nils / Wojtan, Chris / Turk, Greg | 2012
265
Faster Acceleration Noise for Multibody Animations using Precomputed Soundbanks
Chadwick, Jeffrey N. / Zheng, Changxi / James, Doug L. | 2012
275
Dynamic Units of Visual Speech
Taylor, Sarah L. / Mahler, Moshe / Theobald, Barry-John / Matthews, Iain | 2012
285
Efficient Collision Detection for Brittle Fracture
Glondu, Loeiz / Schvartzman, Sara C. / Marchal, Maud / Dumont, Georges / Otaduy, Miguel A. | 2012
295
Multi-linear Data-Driven Dynamic Hair Model with Efficient Hair-Body Collision Handling
Guan, Peng / Sigal, Leonid / Reznitskaya, Valeria / Hodgins, Jessica K. | 2012
305
Long Range Attachments - A Method to Simulate Inextensible Clothing in Computer Games
Kim, Tae-Yong / Chentanez, Nuttapong / Müller-Fischer, Matthias | 2012
311
The Intersection Contour Minimization Method for Untangling Oriented Deformable Surfaces
Ye, Juntao / Zhao, Jing | 2012

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