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Proceedings Paper

Numerical solution of kinematic equations in problems of rigid body dynamics for applications in computer graphics
Author(s): Sergey Yu. Belyaev; Boris S. Grigoriev; Denis B. Smirnov
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Paper 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.

Paper Details

Date Published: 18 February 2002
PDF: 6 pages
Proc. SPIE 4627, Fifth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (18 February 2002); doi: 10.1117/12.456292
Show Author Affiliations
Sergey Yu. Belyaev, St. Petersburg State Technical Univ. (Russia)
Boris S. Grigoriev, St. Petersburg State Technical Univ. (Russia)
Denis B. Smirnov, St. Petersburg State Technical Univ. (Russia)


Published in SPIE Proceedings Vol. 4627:
Fifth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering
Alexander I. Melker, Editor(s)

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