Fast iterative refinement of articulated solid dynamics
- 1 January 1999
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Visualization and Computer Graphics
- Vol. 5 (3), 268-276
- https://doi.org/10.1109/2945.795217
Abstract
A new dynamics algorithm for articulated solid animation is presented. It provides enhancements of computational efficiency and accuracy control with respect to previous solutions. Iterative refinement allows us to perform interactive animations which could be only computed off-line using previous methods. The efficiency results from managing two sets of constraints associated with the kinematic graph, and proceeding in two steps. First, the acyclic constraints are solved in linear time. An iterative process then reduces the closed loop errors while maintaining the acyclic constraints. This allows the user to efficiently trade off accuracy for computation time. We analyze the complexity and investigate practical efficiency compared with other approaches. In contrast with previous research, we present a single method which is computationally efficient for acyclic bodies as well as for mesh-like bodies. The accuracy control is provided by the iterative improvement performed by the algorithm and also from the existence of two constraint priority levels induced by the method. Used in conjunction with a robust integration scheme, this new algorithm allows the interactive animation of scenes containing a few thousand geometric constraints, including closed loops. It has been successfully applied to real-time simulations.Keywords
This publication has 15 references indexed in Scilit:
- All You Need Is Force: a constraint-based approach for rigid body dynamics in computer animationPublished by Springer Science and Business Media LLC ,1995
- Interactive dynamicsACM SIGGRAPH Computer Graphics, 1990
- Multibody Systems HandbookPublished by Springer Science and Business Media LLC ,1990
- Mixed methods for complex kinematic constraints in dynamic figure animationThe Visual Computer, 1988
- Controlling dynamic simulation with kinematic constraintsACM SIGGRAPH Computer Graphics, 1987
- Robot Dynamics AlgorithmsPublished by Springer Science and Business Media LLC ,1987
- Using Dynamic Analysis to Animate Articulated Bodies such as Humans and RobotsPublished by Springer Science and Business Media LLC ,1985
- Efficient Dynamic Computer Simulation of Robotic MechanismsJournal of Dynamic Systems, Measurement, and Control, 1982
- Dynamics of Systems of Rigid BodiesPublished by Springer Science and Business Media LLC ,1977
- Stabilization of constraints and integrals of motion in dynamical systemsComputer Methods in Applied Mechanics and Engineering, 1972