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Cubical cohomology ring : algorithmic approach


Cubical cohomology ring : algorithmic approach

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dc.contributor.author Mrozek, Marian [SAP11008942] pl
dc.contributor.author Kaczyński, Tomasz pl
dc.date.accessioned 2014-07-15T05:33:07Z
dc.date.available 2014-07-15T05:33:07Z
dc.date.issued 2013 pl
dc.identifier.issn 1615-3375 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/26
dc.language eng pl
dc.title Cubical cohomology ring : algorithmic approach pl
dc.type JournalArticle pl
dc.description.physical 789-818 pl
dc.abstract.en A cohomology ring algorithm in a dimension-independent framework of combinatorial cubical complexes is developed with the aim of applying it to the topological analysis of high-dimensional data. This approach is convenient in the cup-product computation and motivated, among others, by interpreting pixels or voxels in digital images as cubes. The S-complex theory and so called co-reductions are adopted to build a cohomology ring algorithm speeding up the algebraic computations. pl
dc.subject.en combinatorial cubical complex pl
dc.subject.en S-complex pl
dc.subject.en cohomology ring pl
dc.subject.en cup-product formula pl
dc.subject.en coreduction algorithm pl
dc.description.volume 13 pl
dc.description.number 5 pl
dc.identifier.doi 10.1007/s10208-012-9138-4 pl
dc.identifier.eissn 1615-3383 pl
dc.title.journal Foundations of Computational Mathematics pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej pl
dc.subtype Article pl
dc.rights.original OTHER; inne; ostateczna wersja wydawcy; w momencie opublikowania; 0; pl
.pointsMNiSW [2013 A]: 50

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