Perona-Malik equation and its numerical properties
M Wielgus - arXiv preprint arXiv:1412.6291, 2014 - arxiv.org
arXiv preprint arXiv:1412.6291, 2014•arxiv.org
This work concerns the Perona-Malik equation, which plays essential role in image
processing. The first part gives a survey of results on existance, uniqueness and stability of
solutions, the second part introduces discretisations of equation and deals with an analysis
of discrete problem. In the last part I present some numerical results, in particular with
algorithms applied to real images.
processing. The first part gives a survey of results on existance, uniqueness and stability of
solutions, the second part introduces discretisations of equation and deals with an analysis
of discrete problem. In the last part I present some numerical results, in particular with
algorithms applied to real images.
This work concerns the Perona-Malik equation, which plays essential role in image processing. The first part gives a survey of results on existance, uniqueness and stability of solutions, the second part introduces discretisations of equation and deals with an analysis of discrete problem. In the last part I present some numerical results, in particular with algorithms applied to real images.
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