Principal Geodesic Dynamics
| dc.contributor.author | Tournier, Maxime | en_US |
| dc.contributor.author | Reveret, Lionel | en_US |
| dc.contributor.editor | Jehee Lee and Paul Kry | en_US |
| dc.date.accessioned | 2014-01-29T08:00:57Z | |
| dc.date.available | 2014-01-29T08:00:57Z | |
| dc.date.issued | 2012 | en_US |
| dc.description.abstract | 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. | en_US |
| dc.description.seriesinformation | Eurographics/ ACM SIGGRAPH Symposium on Computer Animation | en_US |
| dc.identifier.isbn | 978-3-905674-37-8 | en_US |
| dc.identifier.issn | 1727-5288 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/SCA/SCA12/235-244 | en_US |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | I.3.7 [Computer Graphics] | en_US |
| dc.subject | 3D Graphics and Realism | en_US |
| dc.subject | Animation | en_US |
| dc.title | Principal Geodesic Dynamics | en_US |