Computing

, Volume 79, Issue 2–4, pp 197–209

Multiresolution morphing for planar curves

  • S. Hahmann
  • G.-P. Bonneau
  • B. Caramiaux
  • M. Cornillac
Article

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.

AMS Subject Classifications

68U07 68U05 65D05 65D08 65D17 

Keywords

Geometric modeling curves multiresolution analysis morphing interpolation vertex correspondence 

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Copyright information

© Springer-Verlag Wien 2007

Authors and Affiliations

  • S. Hahmann
    • 1
  • G.-P. Bonneau
    • 2
  • B. Caramiaux
    • 1
  • M. Cornillac
    • 1
  1. 1.Laboratoire Jean KuntzmannInstitut National Polytechnique de GrenboleGrenoble Cedex 9France
  2. 2.Laboratoire Jean KuntzmannUniveristé Joseph Fourier, INRIA Rhône-AlpesMontbonnotFrance

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