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Affine plane curve evolution: a fully consistent scheme
Moisan, L.;
Image Processing, IEEE Transactions on
Volume 7,
Issue 3,
March 1998
Page(s):411
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420
Abstract:
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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