Flat morphological operators from non-increasing set operators, I: general theory

Flat morphology is a general method for obtaining increasing operators on grey-level or multivalued images from increasing operators on binary images (or sets). It relies on threshold stacking and superposition; equivalently, Boolean max and min operations are replaced by lattice-theoretical sup and...

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Main Author:	Ronse Christian
Format:	Article
Language:	English
Published:	De Gruyter 2021-01-01
Series:	Mathematical Morphology
Subjects:	poset bounded variation summation operator on sets flat morphological operator 68u10 06b23 06e30 06f20 26a45
Online Access:	https://doi.org/10.1515/mathm-2020-0109

id	doaj-c7202daa316041929f80d5573ca88b45
record_format	Article
spelling	doaj-c7202daa316041929f80d5573ca88b452021-09-22T06:13:12ZengDe GruyterMathematical Morphology2353-33902021-01-01517010710.1515/mathm-2020-0109Flat morphological operators from non-increasing set operators, I: general theoryRonse Christian0ICube, Université de Strasbourg, CNRS, 300 Bd Sébastien Brant, CS 10413, 67412 Illkirch Cedex, FranceFlat morphology is a general method for obtaining increasing operators on grey-level or multivalued images from increasing operators on binary images (or sets). It relies on threshold stacking and superposition; equivalently, Boolean max and min operations are replaced by lattice-theoretical sup and inf operations.https://doi.org/10.1515/mathm-2020-0109posetbounded variationsummationoperator on setsflat morphological operator68u1006b2306e3006f2026a45
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ronse Christian
spellingShingle	Ronse Christian Flat morphological operators from non-increasing set operators, I: general theory Mathematical Morphology poset bounded variation summation operator on sets flat morphological operator 68u10 06b23 06e30 06f20 26a45
author_facet	Ronse Christian
author_sort	Ronse Christian
title	Flat morphological operators from non-increasing set operators, I: general theory
title_short	Flat morphological operators from non-increasing set operators, I: general theory
title_full	Flat morphological operators from non-increasing set operators, I: general theory
title_fullStr	Flat morphological operators from non-increasing set operators, I: general theory
title_full_unstemmed	Flat morphological operators from non-increasing set operators, I: general theory
title_sort	flat morphological operators from non-increasing set operators, i: general theory
publisher	De Gruyter
series	Mathematical Morphology
issn	2353-3390
publishDate	2021-01-01
description	Flat morphology is a general method for obtaining increasing operators on grey-level or multivalued images from increasing operators on binary images (or sets). It relies on threshold stacking and superposition; equivalently, Boolean max and min operations are replaced by lattice-theoretical sup and inf operations.
topic	poset bounded variation summation operator on sets flat morphological operator 68u10 06b23 06e30 06f20 26a45
url	https://doi.org/10.1515/mathm-2020-0109
work_keys_str_mv	AT ronsechristian flatmorphologicaloperatorsfromnonincreasingsetoperatorsigeneraltheory
_version_	1717371877023809536

Flat morphological operators from non-increasing set operators, I: general theory

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