Length Preserving Multiresolution Editing of Curves

Stefanie Hahmann (), Basile Sauvage () and Georges-Pierre Bonneau ()
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Stefanie Hahmann: Laboratoire LMC-IMAG
Basile Sauvage: Laboratoire LMC-IMAG
Georges-Pierre Bonneau: INRIA Rhône-Alpes, Laboratoire EVASION-GRAVIR-IMAG

A chapter in Geometric Modelling, 2004, pp 161-170 from Springer

Abstract: 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.

Keywords: Multiresolution analysis; length constraint; deformation; curve length; linearization; wrinkle generation; 68U07; 68U05; 65D17; 65D18 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0587-0_13

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DOI: 10.1007/978-3-7091-0587-0_13

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