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Affine plane curve evolution: a fully consistent scheme

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Date
1998
Dewey
Probabilités et mathématiques appliquées
Sujet
grey-level images; affine plane curve evolution
Journal issue
IEEE Transactions on Image Processing
Volume
7
Number
3
Publication date
1998
Article pages
411-420
Publisher
IEEE
DOI
http://dx.doi.org/10.1109/83.661191
URI
https://basepub.dauphine.fr/handle/123456789/6685
Collections
  • CEREMADE : Publications
Metadata
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Author
Moisan, Lionel
Type
Article accepté pour publication ou publié
Abstract (EN)
We present an accurate numerical scheme for the affine plane curve evolution and its morphological extension to grey-level images. This scheme is based on the iteration of a nonlocal, fully affine invariant and numerically stable operator, which can be exactly computed on polygons. The properties of this operator ensure that a few iterations are sufficient to achieve a very good accuracy, unlike classical finite difference schemes that generally require a lot of iterations. Convergence results are provided, as well as theoretical examples and experiments.

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