hal-00319651, version 1
Length preserving multiresolution editing of curves
Basile Sauvage
1Stefanie Hahmann
1Georges-Pierre Bonneau 2
Computing 72, 1-2 (2004) 161–170
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.
- 1: Laboratoire de Modélisation et Calcul (LMC - IMAG)
- CNRS : UMR5523 – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
- 2: EVASION (IMAG-INRIA Rhône-Alpes / GRAVIR)
- CNRS : FR71 – CNRS : UMR5527 – INRIA – Institut National Polytechnique de Grenoble (INPG) – Université Joseph Fourier - Grenoble I
- Domain : Computer Science/Computational Geometry
Computer Science/Computer Graphics and Virtual Reality - Keywords : Geometric Modeling – Multiresolution analysis – length constraint – deformation – curve length – linearization – wrinkle generation
- hal-00319651, version 1
- http://hal.archives-ouvertes.fr/hal-00319651
- oai:hal.archives-ouvertes.fr:hal-00319651
- From: Stefanie Hahmann
- Submitted on: Monday, 8 September 2008 23:40:15
- Updated on: Friday, 9 March 2012 10:01:18
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