@inproceedings{6767,
abstract = {In the present paper we give a thorough analysis of two finite difference schemes for the Mean Curvature Motion and its affine variant, the Affine Morphological Scale Space, schemes introduced in the Image Processing framework. This analysis brings in a series of parameters that allow us to compute an accurate discrete evolution of curvature motions.
The choice of these parameters is based on intrinsic geometric properties of the evolution equations for linear, radial and elliptical functions. In the last part we present several examples, underlining the main advantages of the algorithms (the removal of pixelization effects and JPEG artifacts) as well as their major drawbacks (absence of contrast invariance and grid dependence). A detailed explanatory report, the ANSI C implementations and an on-line demo can be found at http://www.ipol.im/.},
author = {Mondelli, Marco and Ciomaga, Adina},
booktitle = {Proceedings of the International Student Conference on Pure and Applied Mathematics},
isbn = {978-973-703-602-5},
location = {Iasi, Romania},
pages = {137--156},
publisher = {Editura Universitãtii „Alexandru Ioan Cuza” Iasi},
title = {{On finite difference schemes for curvature motions}},
doi = {10.13140/2.1.1862.4646},
year = {2011},
}