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Bibliographic Details
Main Authors: Galiano, Gonzalo, Schiavi, Emanuele, Velasco, Julián
Format: Preprint
Published: 2015
Subjects:
Online Access:https://arxiv.org/abs/1506.02247
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Table of Contents:
  • We study the existence and uniqueness of solutions of a nonlinear integro-differential problem which we reformulate introducing the notion of the decreasing rearrangement of the solution. A dimensional reduction of the problem is obtained and a detailed analysis of the properties of the solutions of the model is provided. Finally, a fast numerical method is devised and implemented to show the performance of the model when typical image processing tasks such as filtering and segmentation are performed.