Title:	PHYSICALLY BASED MOTION OF POINT MASSES ON NURBS SURFACES IN REAL-TIME
Author(s):	Hendrik Bugdoll
ISBN:	978-972-8939-22-9
Editors:	Yingcai Xiao, Tomaz Amon and Piet Kommers
Year:	2010
Edition:	Single
Keywords:	Scientific visualization, Lagrangian mechanics, physically based animation, NURBS, free-form surfaces
Type:	Full Paper
First Page:	227
Last Page:	234
Language:	English
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Paper Abstract:	This work shows the possibility of simulating and visualizing the motion of a point mass respectively a system of point masses on NURBS surfaces under the effect of gravity in real-time. After an introduction to the Lagrange formalism the complexity of the resulting equations of motion is revealed on some examples of parametric surfaces. Then the equations of motion are derived for a generic parametric surface and after that efficiently applied on NUBRS surfaces. The theoretical aspects are practically realized by a simulation program, which is briefly introduced. Benchmark results of test runs are presented. The approach is usable for scientific visualization purposes as well as for teaching purposes.
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