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Length Preserving Multiresolution Editing of Curves

In: Geometric Modelling

Author

Listed:
  • Stefanie Hahmann

    (Laboratoire LMC-IMAG)

  • Basile Sauvage

    (Laboratoire LMC-IMAG)

  • Georges-Pierre Bonneau

    (INRIA Rhône-Alpes, Laboratoire EVASION-GRAVIR-IMAG)

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.

Suggested Citation

  • Stefanie Hahmann & Basile Sauvage & Georges-Pierre Bonneau, 2004. "Length Preserving Multiresolution Editing of Curves," Springer Books, in: Stefanie Hahmann & Guido Brunnett & Gerald Farin & Ron Goldman (ed.), Geometric Modelling, pages 161-170, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-0587-0_13
    DOI: 10.1007/978-3-7091-0587-0_13
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