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On Nonlocal Mathematical Morphology

Abstract : 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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Submitted on : Monday, June 17, 2013 - 9:26:28 AM
Last modification on : Wednesday, November 17, 2021 - 12:27:09 PM
Long-term archiving on: : Tuesday, April 4, 2017 - 10:43:05 PM


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Santiago Velasco-Forero, Jesus Angulo. On Nonlocal Mathematical Morphology. 11th International Symposium, ISMM 2013, May 2013, Uppsala, Sweden. pp.219-230, ⟨10.1007/978-3-642-38294-9_19⟩. ⟨hal-00834641⟩



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