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Perona-Malik equation and its numerical properties

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Type
Preprint
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Submission Date
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arXiv ID: 1412.6291
Source
arXiv
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Abstract

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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