Deformation de Courbes Multiresolution sous Contraintes

Stefanie Hahmann 1, * Georges-Pierre Bonneau 2 Basile Sauvage 1
* Corresponding author
2 EVASION - Virtual environments for animation and image synthesis of natural objects
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : We describe a method for multiresolution deformation of closed planar curves that keeps the enclosed area constant. We use a wavelet based multiresolution representation of the curves that are represented by a finite number of control points at each level of resolution. A deformation can then be applied to the curve by modifying one or more control points at any level of resolution. This process is generally known as multiresolution editing to which we add the constraint of constant area. The key contribution of this paper is the efficient computation of the area in the wavelet decomposition form. Furthermore different linearizations of the quadratic area constraint are developed. These two contributions allow a real time multiresolution deformation of complex curves on standard PCs.
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Stefanie Hahmann, Georges-Pierre Bonneau, Basile Sauvage. Deformation de Courbes Multiresolution sous Contraintes. Revue internationale d'ingénierie numérique, 2005, 1 (1), pp.77-90. ⟨hal-00387041⟩

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