Nonlinear operators on graphs via stacks

Abstract : We consider a framework for nonlinear operators on functions evaluated on graphs via stacks of level sets. We investigate a family of transformations on functions evaluated on graph which includes adaptive flat and non-flat erosions and dilations in the sense of mathematical morphology. Additionally, the connection to mean motion curvature on graphs is noted. Proposed operators are illustrated in the cases of functions on graphs, textured meshes and graphs of images.
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Geometric Science of Information, Oct 2015, Palaiseau, France. Geometric Science of Information Volume 9389 of the series Lecture Notes in Computer Science pp 654-663, Lecture Notes in Computer Science (Volume 9389), pp.654-663, 2015, <10.1007/978-3-319-25040-3_70>
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https://hal.archives-ouvertes.fr/hal-01110976
Contributeur : Santiago Velasco-Forero <>
Soumis le : jeudi 29 janvier 2015 - 12:25:14
Dernière modification le : mardi 12 septembre 2017 - 11:41:19
Document(s) archivé(s) le : mercredi 27 mai 2015 - 13:55:54

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Santiago Velasco-Forero, Jesus Angulo. Nonlinear operators on graphs via stacks. Geometric Science of Information, Oct 2015, Palaiseau, France. Geometric Science of Information Volume 9389 of the series Lecture Notes in Computer Science pp 654-663, Lecture Notes in Computer Science (Volume 9389), pp.654-663, 2015, <10.1007/978-3-319-25040-3_70>. <hal-01110976>

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