This paper describes a new model-based segmentation and motion analysis technic combining Euler-Lagrange formalism and shape representation by Fourier decomposition. First, we propose to extend the concept of the 2D Fourier representation for closed curves to a new 3D hierarchical descriptor for closed surfaces. To study the shape deformation during motion, we establish also, the dynamic equations of motion of the Fourier parameters. Finally, some results on 2D data traking, 3D reconstructions and 3D data fitting are presented.
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