Journal of Mathematical Imaging and Vision

, Volume 7, Issue 3, pp 225–240

On Projective Invariant Smoothing and Evolutions of Planar Curves and Polygons


  • Alfred M. Bruckstein
    • Department of Computer Science TechnionI.I.T.
  • Doron Shaked
    • Hewlett-Packard Israel Science Center

DOI: 10.1023/A:1008226427785

Cite this article as:
Bruckstein, A.M. & Shaked, D. Journal of Mathematical Imaging and Vision (1997) 7: 225. doi:10.1023/A:1008226427785


Several recently introduced and studied planar curve evolutionequations turn out to be iterative smoothing procedures that areinvariant under the actions of the Euclidean and affine groups ofcontinuous transformations. This paper discusses possible ways toextend these results to the projective group of transformations.Invariant polygon evolutions are also investigated.

shape analysisprojective invariantscurve and polygon smoothinggeometric diffusionsinvariant signatures
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© Kluwer Academic Publishers 1997