Milieu mécanique déformable multirésolution pour la simulation interactive

Abstract : Physically based models are invaluable in the field of animation synthesis because they permit realistic simulation of physical phenomena and allow for better immersion in a virtual world.
Several approches exist for animating soft bodies, but the modelling is often complex and difficult to use in practice.
In this thesis, we introduce simplified process for the interactive, realistic physical animation of deformable objects. In this approach, the object is imbedded within a deformable grid to which mechanical laws are applied. A fast and robust finite element method is extended to take into account the distribution of material and material properties inside an element, thereby offering improved behavior for coarse resolutions. To allow for interactive running times, a simple multiresolution formulation is proposed to focus computations where they are most necessary. To improve the propagation of deformations for "poorly conditioned" materials, two methods are evaluated: a hierarchical finite elements formulation, which is difficult to set-up but facilitates the multiresolution approach, and a multigrid formulation, which is elegant and efficient but more difficult to use in the multiresolution framework.
Finally the precision of our method is experimentally validated and examples are shown for a wide-range of models.
In summary, this thesis presents a fast, robust, accurate, and easy-to-use approach for the physically realistic animation of deformable objects. This method simplifies both the task of the graphic artist, since prior knowledge in mechanics is not required, and the task of patient-specific modelling since segmented medical images are directly exploitable.
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  • HAL Id : tel-00293531, version 2

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Matthieu Nesme. Milieu mécanique déformable multirésolution pour la simulation interactive. Modélisation et simulation. Université Joseph-Fourier - Grenoble I, 2008. Français. ⟨tel-00293531v2⟩

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