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Affine plane curve evolution: a fully consistent scheme

Moisan, Lionel (1998), Affine plane curve evolution: a fully consistent scheme, IEEE Transactions on Image Processing, 7, 3, p. 411-420. http://dx.doi.org/10.1109/83.661191

Type
Article accepté pour publication ou publié
Date
1998
Journal name
IEEE Transactions on Image Processing
Volume
7
Number
3
Publisher
IEEE
Pages
411-420
Publication identifier
Metadata
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Author(s)
Moisan, Lionel cc
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.
Subjects / Keywords
grey-level images; affine plane curve evolution