Hyperconnectivity, Attribute-Space Connectivity and Path Openings: Theoretical Relationships

M.H.F. Wilkinson*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

14 Citations (Scopus)

Abstract

In this paper the relationship of hyperconnected filters with path openings and attribute-space connected filters is studied. Using a recently developed axiomatic framework based on hyperconnectivity operators, which are the hyperconnected equivalents of connectivity openings, it is shown that path openings are a special case of hyperconnected area openings. The new axiomatics also yield insight into the relationship between hyperconnectivity and attribute-space connectivity. It is shown any hyperconnectivity is an attribute-space connectivity, but that the reverse is not true.

Original languageEnglish
Title of host publicationMathematical Morphology and Its Application to Signal and Image Processing
Subtitle of host publication9th International Symposium on Mathematical Morphology, ISMM 2009 Groningen, The Netherlands, August 24-27, 2009 Proceedings
EditorsMHF Wilkinson, JBTM Roerdink
Place of PublicationBERLIN
PublisherSpringer
Pages47-58
Number of pages12
Volume5720
ISBN (Electronic)978-3-642-03613-2
ISBN (Print)978-3-642-03612-5
Publication statusPublished - 2009
Event9th International Symposium on Mathematical Morphology - , Netherlands
Duration: 24-Aug-200927-Aug-2009

Publication series

NameLecture Notes in Computer Science
PublisherSPRINGER-VERLAG BERLIN
Volume5720
ISSN (Print)0302-9743

Other

Other9th International Symposium on Mathematical Morphology
Country/TerritoryNetherlands
Period24/08/200927/08/2009

Keywords

  • IMAGE
  • SEGMENTATION
  • OPERATORS
  • CLOSINGS
  • LATTICES

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