Numerical solution of kinematic equations in problems of rigid body dynamics for applications in computer graphics

Sergey Yu. Belyaev; Boris S. Grigoriev; Denis B. Smirnov

doi:10.1117/12.456292

18 February 2002 Numerical solution of kinematic equations in problems of rigid body dynamics for applications in computer graphics

Sergey Yu. Belyaev, Boris S. Grigoriev, Denis B. Smirnov

Author Affiliations +

Proceedings Volume 4627, Fifth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2002) https://doi.org/10.1117/12.456292
Event: Fifth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 2001, St. Petersburg, Russian Federation

Abstract

The article is devoted to the solution of kinematic equations that are used for modeling the motion of mechanical objects in virtual reality systems. The components of a quaternion are taken as kinematic parameters. The numerical methods that conserve the quaternion norm are constructed starting from the finite rotation formula. To compare different methods the problem of regular precession of an axisymmetric rigid body (the exact solution of which is known) is considered.

Citation Download Citation

Sergey Yu. Belyaev, Boris S. Grigoriev, and Denis B. Smirnov "Numerical solution of kinematic equations in problems of rigid body dynamics for applications in computer graphics", Proc. SPIE 4627, Fifth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (18 February 2002); https://doi.org/10.1117/12.456292

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