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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https://hal.archives-ouvertes.fr/hal-01110976
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Submitted on : Thursday, January 29, 2015 - 12:25:14 PM
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Santiago Velasco-Forero, Jesus Angulo. Nonlinear operators on graphs via stacks. Geometric Science of Information, Oct 2015, Palaiseau, France. pp.654-663, ⟨10.1007/978-3-319-25040-3_70⟩. ⟨hal-01110976⟩

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