# Affine plane curve evolution: a fully consistent scheme

@article{Moisan1998AffinePC, title={Affine plane curve evolution: a fully consistent scheme}, author={Lionel Moisan}, journal={IEEE transactions on image processing : a publication of the IEEE Signal Processing Society}, year={1998}, volume={7 3}, pages={ 411-20 } }

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…

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