Abstract
The aim of this paper is to establish links between fuzzy morphology and fuzzy distances. We show how distances can be derived from fuzzy mathematical morphology, in particular fuzzy dilation, leading to interesting definitions involving membership information and spatial information. Conversely, we propose a way to define fuzzy morphological operations from fuzzy distances. We deal with both the Euclidean and the geodesic cases. In particular in the geodesic case, we propose a definition of fuzzy balls, from which fuzzy geodesic dilation and erosion are derived, based on fuzzy geodesic distances. These new operations enhance the set of fuzzy morphological operators, leading to transformations of a fuzzy set conditionally to another fuzzy set. The proposed definitions are valid in any dimension, in both Euclidean and geodesic cases.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
