Physically-based animation of a helicopter using a Lie Group Integrator

Lie Group Integrators for Animation and Control of Vehicles

Marin Kobilarov, Keenan Crane, Mathieu Desbrun
(Caltech)

This work is concerned with the animation and control of vehicles with complex dynamics such as helicopters, boats, and cars. Motivated by recent developments in discrete geometric mechanics we develop a general framework for integrating the dynamics of holonomic and nonholonomic vehicles by preserving their state-space geometry and motion invariants. We demonstrate that the resulting integration schemes are superior to standard methods in numerical robustness and efficiency, and can be applied to many types of vehicles. In addition, we show how to use this framework in an optimal control setting to automatically compute accurate and realistic motions for arbitrary user-specified constraints.

For more information, see http://www.cs.caltech.edu/~keenan/project_lgiacv.html

Category:

Science & Technology

Tags:

• simulation
• geometry
• animation
• vehicles
• graphics
• robotics
• 3D
• computer graphics
• helicopter
• desert
• stone
• arch
• apache
• discrete
• geometric
• mechanics
• variational
• integrators

[PCosmin]

Great video, I have to say I'm getting pretty hooked on your posts