On Nonlocal Mathematical Morphology

@inproceedings{VelascoForero2013OnNM,
  title={On Nonlocal Mathematical Morphology},
  author={Santiago Velasco-Forero and Jes{\'u}s Angulo},
  booktitle={ISMM},
  year={2013}
}
In this paper, nonlocal mathematical morphology operators are introduced as a natural extension of nonlocal-means in the max-plus algebra. Firstly, we show that nonlocal morphology is a particular case of adaptive morphology. Secondly, we present the necessary properties to have algebraic properties on the associated pair of transformations. Finally, we recommend a sparse version to introduce an efficient algorithm that computes these operators in reasonable computational time. 

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