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Erschienen in:
2013 | OriginalPaper | Buchkapitel
On Nonlocal Mathematical Morphology
verfasst von : Santiago Velasco-Forero, Jesús Angulo
Erschienen in: Mathematical Morphology and Its Applications to Signal and Image Processing
Verlag: Springer Berlin Heidelberg
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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.