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Published in:
2014 | OriginalPaper | Chapter
Nonlocal PDEs Morphology on Graph: A Generalized Shock Operators on Graph
Authors : Ahcene Sadi, Abdallah EL Chakik, Abderrahim Elmoataz
Published in: Image and Signal Processing
Publisher: Springer International Publishing
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This paper presents an adaptation of the shock filter on weighted graphs using the formalism of Partial difference Equations. This adaptation leads to a new morphological operators that alternate the nonlocal dilation and nonlocal erosion type filter on graphs. Furthermore, this adaptation extends the shock filters applications to any data that can be represented by graphs. This paper also presents examples that illustrate our proposed approach.