Affine plane curve evolution: a fully consistent scheme.
basic_science · Level V
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- Record sourced from PubMed, PMID 18276261.
- Also identified by DOI 10.1109/83.661191.
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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.