HAL - INRIA :: [hal-00319648, version 1] Area preserving deformation of multiresolution curves

hal-00319648, version 1

Area preserving deformation of multiresolution curves

Stefanie Hahmann ( Author to contact preferably ) ¹, Basile Sauvage () ¹, Georges-Pierre Bonneau () ²

Computer Aided Geometric Design 22 (2005) 349–367

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 which 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. A multiresolution representation for the area moment is also developed. We make sure that all computations are fast and that the deformations can be performed interactively. Diverse types of deformation are discussed.

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

hal-00319648, version 1
http://hal.archives-ouvertes.fr/hal-00319648
oai:hal.archives-ouvertes.fr:hal-00319648
From: Stefanie Hahmann <>
Submitted on: Tuesday, 9 September 2008 11:53:39
Updated on: Wednesday, 3 November 2010 10:00:11

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