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Affine plane curve evolution: A fully consistent scheme

delete1998-03-01
delete49
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Lionel Moisan *
DOI:10.1109/83.661191delete
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Abstract

Abstract

En 中文
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 fea iterations are sufficient to achieve a very good accuracy, unlike classical finite difference schemes that generally require a tot of iterations, Convergence results are provided, as well as theoretical examples and experiments.
Keywords:
affine invariance
curve evolution
numerical scheme
scale space
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Journal

IEEE Transactions on Image Processing cover
IEEE Transactions on Image Processing
IF:
13.7
Papers:
1.0W
Citations:
8.4W

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