Morphological erosions and openings: fast algorithms based on anchors

Van Droogenbroeck, Marc; Buckley, Michael

doi:10.1007/s10851-005-4886-2

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Morphological erosions and openings: fast algorithms based on anchors

Van Droogenbroeck, Marc; Buckley, Michael

2005 • In Journal of Mathematical Imaging and Vision, 22 (2-3), p. 121-142

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https://hdl.handle.net/2268/1302

DOI
10.1007/s10851-005-4886-2

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Keywords :

Image; Vision; Mathematical morphology; Opening

Abstract :

[en] Several efficient algorithms for computing erosions and openings have been proposed recently. They improve on VAN HERK's algorithm in terms of number of comparisons for large structuring elements. In this paper we introduce a theoretical framework of anchors that aims at a better understanding of the process involved in the computation of erosions and openings. It is shown that the knowledge of opening anchors of a signal f is sufficient to perform both the erosion and the opening of f. Then we propose an algorithm for one-dimensional erosions and openings which exploits opening anchors. This algorithm improves on the fastest algorithms available in literature by approximately 30% in terms of computation speed, for a range of structuring element sizes and image contents

Disciplines :

Electrical & electronics engineering

Author, co-author :

Van Droogenbroeck, Marc ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Télécommunications

Buckley, Michael

Language :

English

Title :

Morphological erosions and openings: fast algorithms based on anchors

Publication date :

May 2005

Journal title :

Journal of Mathematical Imaging and Vision

ISSN :

0924-9907

eISSN :

1573-7683

Publisher :

Kluwer Academic Publishers, Netherlands

Volume :

Issue :

2-3

Pages :

121-142

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 26 November 2008

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142 (18 by ULiège)

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1117 (8 by ULiège)

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