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
TypeArticle accepté pour publication ou publié
Journal nameIEEE Transactions on Image Processing
MetadataShow full item record
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 / Keywordsgrey-level images; affine plane curve evolution
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