An Axiomatic Approach to Hyperconnectivity

Michael H. F. Wilkinson

An Axiomatic Approach to Hyperconnectivity

Michael H. F. Wilkinson^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

13 Citations (Scopus)

Abstract

In this paper the notion of hyperconnectivity, first put forward by Serra as an extension of the notion of connectivity is explored theoretically. Hyperconnectivity operators, which are the hyperconnected equivalents of connectivity openings are defined, which supports both hyperconnected reconstruction and attribute filters. The new axiomatics yield insight into the relationship between hyperconnectivity and structural morphology. The latter turns out to be a special case of the former, which means a continuum of filters between connected and structural exists, all of which falls into the category of hyperconnected filters.

Original language	English
Title of host publication	MATHEMATICAL MORPHOLOGY AND ITS APPLICATION TO SIGNAL AND IMAGE PROCESSING
Editors	MHF Wilkinson, JBTM Roerdink
Place of Publication	BERLIN
Publisher	Springer
Pages	35-46
Number of pages	12
ISBN (Print)	978-3-642-03612-5
Publication status	Published - 2009
Event	9th International Symposium on Mathematical Morphology - , Netherlands Duration: 24-Aug-2009 → 27-Aug-2009

Publication series

Name	Lecture Notes in Computer Science
Publisher	SPRINGER-VERLAG BERLIN
Volume	5720
ISSN (Print)	0302-9743

Other

Other	9th International Symposium on Mathematical Morphology
Country/Territory	Netherlands
Period	24/08/2009 → 27/08/2009

Keywords

CONNECTIVITY
IMAGE
OPERATORS
LATTICES
OPENINGS

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title = "An Axiomatic Approach to Hyperconnectivity",

abstract = "In this paper the notion of hyperconnectivity, first put forward by Serra as an extension of the notion of connectivity is explored theoretically. Hyperconnectivity operators, which are the hyperconnected equivalents of connectivity openings are defined, which supports both hyperconnected reconstruction and attribute filters. The new axiomatics yield insight into the relationship between hyperconnectivity and structural morphology. The latter turns out to be a special case of the former, which means a continuum of filters between connected and structural exists, all of which falls into the category of hyperconnected filters.",

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author = "Wilkinson, {Michael H. F.}",

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year = "2009",

language = "English",

isbn = "978-3-642-03612-5",

series = "Lecture Notes in Computer Science",

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An Axiomatic Approach to Hyperconnectivity. / Wilkinson, Michael H. F.
MATHEMATICAL MORPHOLOGY AND ITS APPLICATION TO SIGNAL AND IMAGE PROCESSING. ed. / MHF Wilkinson; JBTM Roerdink. BERLIN: Springer, 2009. p. 35-46 (Lecture Notes in Computer Science; Vol. 5720).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T1 - An Axiomatic Approach to Hyperconnectivity

AU - Wilkinson, Michael H. F.

N1 - Relation: http://www.springerlink.com/ Rights: Springer

PY - 2009

Y1 - 2009

N2 - In this paper the notion of hyperconnectivity, first put forward by Serra as an extension of the notion of connectivity is explored theoretically. Hyperconnectivity operators, which are the hyperconnected equivalents of connectivity openings are defined, which supports both hyperconnected reconstruction and attribute filters. The new axiomatics yield insight into the relationship between hyperconnectivity and structural morphology. The latter turns out to be a special case of the former, which means a continuum of filters between connected and structural exists, all of which falls into the category of hyperconnected filters.

AB - In this paper the notion of hyperconnectivity, first put forward by Serra as an extension of the notion of connectivity is explored theoretically. Hyperconnectivity operators, which are the hyperconnected equivalents of connectivity openings are defined, which supports both hyperconnected reconstruction and attribute filters. The new axiomatics yield insight into the relationship between hyperconnectivity and structural morphology. The latter turns out to be a special case of the former, which means a continuum of filters between connected and structural exists, all of which falls into the category of hyperconnected filters.

KW - CONNECTIVITY

KW - IMAGE

KW - OPERATORS

KW - LATTICES

KW - OPENINGS

M3 - Conference contribution

SN - 978-3-642-03612-5

T3 - Lecture Notes in Computer Science

SP - 35

EP - 46

BT - MATHEMATICAL MORPHOLOGY AND ITS APPLICATION TO SIGNAL AND IMAGE PROCESSING

A2 - Wilkinson, MHF

A2 - Roerdink, JBTM

PB - Springer

CY - BERLIN

T2 - 9th International Symposium on Mathematical Morphology

Y2 - 24 August 2009 through 27 August 2009

ER -

An Axiomatic Approach to Hyperconnectivity

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