Guest editors' preface to special issue on digital topology

DOI10.1016/0166-8641(92)90013-PzbMath0762.54035MaRDI QIDQ1205559

T. Yung Kong, Ralph Kopperman, Paul R. Meyer

Publication date: 1 April 1993

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

pattern recognitionimage processingbinary imagedigital topologydigital planedigital imagefinite topological spaceadjacency relationKhalimsky topologydigital pictureconnected ordered topological spacedigital \(n\)-spaceopen quotient maps

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Quotient spaces, decompositions in general topology (54B15) Connected and locally connected spaces (general aspects) (54D05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Discrete geometry (52C99) Peculiar topological spaces (54G99) Discrete mathematics in relation to computer science (68R99) Connections of general topology with other structures, applications (54H99)

Related Items (4)

Some bitopological concepts based on the alternative effects of closure and interior operator ⋮ Transfer closed and transfer open multimaps in minimal spaces ⋮ Coincidence and self-coincidence of maps between digital images ⋮ Linear minimal space

Cites Work

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• Boundaries in digital planes
• Computer graphics and connected topologies on finite ordered sets
• A Jordan surface theorem for three-dimensional digital spaces
• Continuous analogs of axiomatized digital surfaces
• On the characterization of simple closed surfaces in three-dimensional digital images
• Three-dimensional digital topology
• Surfaces in three-dimensional digital images
• A Topological Approach to Digital Topology
• Recognition of surfaces in three-dimensional digital images
• Connectivity in Digital Pictures
• Arcs and Curves in Digital Pictures

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