Length preserving multiresolution editing of curves

Basile Sauvage 1 Stefanie Hahmann 1, * Georges-Pierre Bonneau 2
* 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 : In this paper a method for multiresolution deformation of planar piecewise linear curves that preserves the curve length is presented. In a wavelet based multiresolution editing framework, the curve can be deformed at any level of resolution through its control points. Enforcing the length constraint is carried out in two steps. In a first step the multiresolution decomposition of the curve is used in order to approximate the initial curve length. In a second step the length constraint is satisfied exactly by iteratively smoothing the deformed curve. Wrinkle generation is an application the paper particularly focuses on. It is shown how the multiresolution definition of the curve allows to explicitly and intuitively control the scale of the generated wrinkles.
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Basile Sauvage, Stefanie Hahmann, Georges-Pierre Bonneau. Length preserving multiresolution editing of curves. Computing, Springer Verlag, 2004, 72 (1-2), pp.161-170. ⟨hal-00319651⟩

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