Impulse-based dynamic simulation in linear time

Computer Animation and Virtual Worlds

Volumn 18, Issue 4-5, 2007, Pages 225-233

  Bender, Jan ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Articulated bodies; Dynamic simulation; Linear time dynamics; Physically based animation; Rigid bodies

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; PROBLEM SOLVING; THREE DIMENSIONAL COMPUTER GRAPHICS;

ARTICULATED BODIES; LINEAR TIME DYNAMICS; PHYSICALLY BASED ANIMATION; RIGID BODIES;

ANIMATION;

EID: 35348973567     PISSN: 15464261     EISSN: 1546427X     Source Type: Journal    
DOI: 10.1002/cav.179     Document Type: Conference Paper

References (15)

1. de Jalon JG, Bayo E. Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge. Springer-Verlag: New York, 1994.
2. Featherstone R. Robot Dynamics Algorithm. Kluwer Academic Publishers: Norwell, MA, USA, 1987. Manufactured By-Kluwer Academic Publishers.
3. Featherstone R, Orin D. Robot dynamics: equations and algorithms. International Conference on Robotics and Automation, 2000; pp. 826-834.
4. Baraff D. Linear-time dynamics using Lagrange multipliers. In SIGGRAPH'96: Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, New York, USA, ACM Press, 1996; pp. 137-146.
5. Baumgarte JW. Stabilization of constraints and integrals of motion in dynamical systems. Computer Methods in Applied Mechanics and Engineering 1972; 1:1-16.
6. Witkin A, Welch W. Fast animation and control of nonrigid structures. In SIGGRAPH'90: Proceedings of the 17th Annual Conference on Computer Graphics and Interactive Techniques, New York, USA, ACM Press, 1990; pp. 243-252.
7. Ascher UM, Chin H, Petzold LR, Reich S. Stabilization of constrained mechanical systems with daes and invariant manifolds. Journal of Mechanics of Structures and Machines 1995; 23:135-158.
8. Bender J, Finkenzeller D, Schmitt A. An impulse-based dynamic simulation system for VR applications. In Proceedings of Virtual Concept 2005; Biarritz, France, Springer; 2005.
9. Weinstein RL, Teran J, Fedkiw R. Dynamic simulation of articulated rigid bodies with contact and collision. IEEE Transactions on Visualization and Computer Graphics 2006; 12: 365-374.
10. Bender J, Schmitt A. Fast dynamic simulation of multi-body systems using impulses. In Virtual Reality Interactions and Physical Simulations (VRIPhys), Madrid (Spain), November 2006; pp. 81-90.
11. Schmitt A, Bender J, Prautzsch H. On the convergence and correctness of impulse-based dynamic simulation. Internal Report 17, Institut für Betriebs-und Dialogsysteme, 2005.
12. Bender J, Schmitt A. Constraint-based collision and contact handling using impulses. In Proceedings of the 19th International Conference on Computer Animation and Social Agents, Geneva (Switzerland), July 2006; pp. 3-11.
13. Shoemake K. Animating rotation with quaternion curves. In SIGGRAPH'85: Proceedings of the 12th Annual Conference on Computer Graphics and Interactive Techniques, New York, USA, ACM Press, 1985; pp. 245-254.
14. Schenk O, Gärtner K. On fast factorization pivoting methods for sparse symmetric indefinite systems. Technical Report, Department of Computer Science, University of Basel, 2004.
15. Schenk O, Gärtner K. Solving unsymmetric sparse systems of linear equations with pardiso. Future Generation Computer Systems 2004; 20(3): 475-487.