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hal-00319634, version 1

Multiresolution morphing for planar curves

Stefanie Hahmann (Author to contact preferably) 1, Georges-Pierre Bonneau () 12, Baptiste Caramiaux 1, Mélanie Cornillac 1

Computing 79 (2007) 197-209

Abstract: We present a multiresolution morphing algorithm using "as-rigid-as-possible" shape interpolation combined with an angle-length based multiresolution decomposition of simple 2D piecewise curves. This novel multiresolution representation is defined intrinsically and has the advantage that the details' orientation follows any deformation naturally. The multiresolution morphing algorithm consists of transforming separately the coarse and detail coefficients of the multiresolution decomposition. Thus all LoD (level of detail) applications like LoD display, compression, LoD editing etc.\ can be applied directly to all morphs without any extra computation. Furthermore, the algorithm can robustly morph between very large size polygons with many local details as illustrated in numerous figures. The intermediate morphs behave natural and least-distorting due to the particular intrinsic multiresolution representation.

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  • 1:  Laboratoire Jean Kuntzmann (LJK)
  • CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
  • 2:  EVASION (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
  • CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Institut National Polytechnique de Grenoble (INPG) – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II
  • Domain : Computer Science/Computer Graphics and Virtual Reality
    Computer Science/Computational Geometry
  • Keywords : Geometric modeling – curves – multiresolution analysis – morphing – interpolation vertex correspondence.
 
  • hal-00319634, version 1
  • oai:hal.archives-ouvertes.fr:hal-00319634
  • From: 
  • Submitted on: Tuesday, 9 September 2008 15:08:38
  • Updated on: Thursday, 8 March 2012 10:41:41
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