Novel applications of discrete mereotopology to mathematical morphology

Landini, Gabriel and Galton, Antony and Randell, David and Fouad, Shereen (2019) Novel applications of discrete mereotopology to mathematical morphology. Signal Processing: Image Communication. ISSN 0923-5965

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Abstract

This paper shows how the Discrete Mereotopology notions of adjacency and neighbourhood between regions
can be exploited through Mathematical Morphology to accept or reject changes resulting from traditional
morphological operations such as closing and opening. This leads to a set of six morphological operations
(here referred to generically as minimal opening and minimal closing ) where minimal changes fulfil specific
spatial constraints. We also present an algorithm to compute the RCC5D and RCC8D relation sets across
multiple regions resulting in a performance improvement of over three orders of magnitude over our previously
published algorithm for Discrete Mereotopology.

Item Type:	Article
Identification Number:	10.1016/j.image.2019.04.018
Dates:	Date Event 22 April 2019 Accepted 27 April 2019 Published Online
Uncontrolled Keywords:	Mathematical morphology Discrete mereotopology Image processing Spatial reasoning
Subjects:	CAH02 - subjects allied to medicine > CAH02-05 - medical sciences > CAH02-05-01 - medical technology CAH11 - computing > CAH11-01 - computing > CAH11-01-01 - computer science
Divisions:	Faculty of Computing, Engineering and the Built Environment Faculty of Computing, Engineering and the Built Environment > College of Computing
Depositing User:	Shereen Fouad
Date Deposited:	01 May 2019 08:54
Last Modified:	22 Mar 2023 12:01
URI:	https://www.open-access.bcu.ac.uk/id/eprint/7409

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