2011
DOI: 10.1109/tip.2010.2101610
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Abstract: Abstract-Mathematical morphology (MM) offers a wide range of operators to address various image processing problems. These operators can be defined in terms of algebraic (discrete) sets or as partial differential equations (PDEs). In this paper, we introduce a nonlocal PDEs-based morphological framework defined on weighted graphs. We present and analyze a set of operators that leads to a family of discretized morphological PDEs on weighted graphs. Our formulation introduces nonlocal patch-based configurations … Show more

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Cited by 53 publications
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“…Let us recall some weighted partial difference operators on graphs that are essential in our paper. We refer to [21,23,38,20], for more detailed description of these operators.…”
Section: Notations and Preliminariesmentioning
confidence: 99%
“…Let us recall some weighted partial difference operators on graphs that are essential in our paper. We refer to [21,23,38,20], for more detailed description of these operators.…”
Section: Notations and Preliminariesmentioning
confidence: 99%