d-Dimensional parametric models for dynamic animation of deformable objects |
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Authors: | Yannick Remion Jean-Michel Nourrit Olivier Nocent |
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Affiliation: | (1) Laboratoire d′Etudes et de Recherches Informatiques, Université de Reims Champagne-Ardenne, rue des crayères, BP 1035, 51687 Reims Cedex 2, France e-mail: {yannick.remion, jm.nourrit}@univ-reims.fr, nocent@leri.univ-reims.fr, FR |
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Abstract: | This paper introduces an accurate, efficient, and unified engine dedicated to dynamic animation of d-dimensional deformable objects. The objects are modelled as d-dimensional manifolds defined as functional combinations of a mesh of 3D control points, weighted by parametric blending
functions. This model ensures that, at each time step, the object shape conforms to its manifold definitions. The object motion
is deduced from the control points dynamic animation. In fact, control points should be viewed as the degrees of freedom of
the continuous object. The chosen dynamic equations (Lagrangian formalism) reflect this generic modelling scheme and yield
an exact and computationally efficient linear system. |
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Keywords: | : Dynamic animation – Lagrangian equations – Parametric surfaces – Parametric volumes – Deformable objects |
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