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Abstract cell complex

In mathematics, an abstract cell complex is an abstract set with Alexandrov topology in which a non-negative integer number called dimension is assigned to each point. The complex is called “abstract” since its points, which are called “cells”, are not subsets of a Hausdorff space as is the case in Euclidean and CW complexes. Abstract cell complexes play…

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Abstract Cell Complex Digital Image Representation

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Abstract cell complex

Nodes28
Edges27
Triples28
Avg. degree1.93
Density0.071429
Components1

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Abstract cell complex

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related to history · 12
Abstract cell complex → Aleksandrov, Also, He, In, Klette, Kovalevsky, Listing, Reidemeister, Rosenfeld, Steinitz, The, Tucker
related to Basic results · 7
Abstract cell complex → An, Cartesian, Only, Steinitz, The, There, This
related to Abstract Cell Complex Digital Image Representation · 4
Abstract cell complex → ACC, One, These, This
is a · 2
Abstract cell complex → abstract set with Alexandrov topology in which a non-negative integer number called dimension is assigned to each point, particular case of a locally finite space in which the dimension is defined for each point

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Important terminology

cell abstract complexes complex image set points space cells locally finite point digital topology called dimension defined book coordinate neighborhood

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Abstract cell complexis aabstract set with Alexandrov topology in which a non-negative integer number called dimension is assigned to each point0.90text
Abstract cell complexis aparticular case of a locally finite space in which the dimension is defined for each point0.90text
crack boundary tracinginstance ofThis decomposition together with a coordinate assignment rule to unambiguously assign coordinates from the image pixels to the dimensional constituents permit certain image anal…0.80text
digital straight segment subdivisioninstance ofThis decomposition together with a coordinate assignment rule to unambiguously assign coordinates from the image pixels to the dimensional constituents permit certain image anal…0.80text
etcinstance ofThis decomposition together with a coordinate assignment rule to unambiguously assign coordinates from the image pixels to the dimensional constituents permit certain image anal…0.80text
Abstract cell complexrelated to Abstract Cell Complex Digital Image RepresentationACC0.60section
Abstract cell complexrelated to Abstract Cell Complex Digital Image RepresentationThis0.60section
Abstract cell complexrelated to Abstract Cell Complex Digital Image RepresentationOne0.60section
Abstract cell complexrelated to Abstract Cell Complex Digital Image RepresentationThese0.60section
Abstract cell complexrelated to Basic resultsThe0.60section
Abstract cell complexrelated to Basic resultsSteinitz0.60section
Abstract cell complexrelated to Basic resultsAn0.60section

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