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Nonlocal Graph Morphology
Abstract : Mathematical morphology (MM) operators can be defined in terms of algebraic sets or as partial differential equations. In this paper, we introduce a novel formulation of MM over weighted graphs of arbitrary topology. The proposed framework recovers local algebraic and PDEs-based formulations of MM and introduces nonlocal configurations. This enables to PDEs-based methods to process any discrete data that can be described by a graph such as high dimensional data defined on irregular domains.
Cited literature [7 references]
https://hal.archives-ouvertes.fr/hal-00403942
Contributor : Yvain Queau Connect in order to contact the contributor
Submitted on : Tuesday, January 21, 2014 - 12:52:40 PM
Last modification on : Tuesday, October 19, 2021 - 11:34:55 PM
Long-term archiving on: : Tuesday, April 22, 2014 - 11:26:19 AM
Contributor : Yvain Queau Connect in order to contact the contributor
Submitted on : Tuesday, January 21, 2014 - 12:52:40 PM
Last modification on : Tuesday, October 19, 2021 - 11:34:55 PM
Long-term archiving on: : Tuesday, April 22, 2014 - 11:26:19 AM
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ISMM2009_2.pdf
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