A Combinatorial 4-Coordinate System for the Diamond Grid

dc.contributor.authorComic, Lidija
dc.contributor.authorNagy, Benedek
dc.date.accessioned2026-02-06T18:16:41Z
dc.date.issued2015
dc.departmentDoğu Akdeniz Üniversitesi
dc.description12th International Symposium on Mathematical Morphology (ISMM) -- MAY 27-29, 2015 -- Reykjavik, ICELAND
dc.description.abstractA new combinatorial coordinate system for cells in the diamond grid is presented, and some of its properties are detailed. Four dependent coordinates are used to address the voxels (triakis truncated tetrahedra), their faces (hexagons and triangles), their edges and the points at their corners. The incidence (boundary and co-boundary) and adjacency relations of the cells can easily be captured by these coordinate values. Therefore, the new coordinate system can effectively by applied in morphological and topological operations.
dc.description.sponsorshipUniv Iceland,Univ Iceland, Fac Elect & Comp Engn
dc.identifier.doi10.1007/978-3-319-18720-4_49
dc.identifier.endpage596
dc.identifier.isbn978-3-319-18720-4
dc.identifier.isbn978-3-319-18719-8
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.scopus2-s2.0-84945970053
dc.identifier.scopusqualityQ3
dc.identifier.startpage585
dc.identifier.urihttps://doi.org/10.1007/978-3-319-18720-4_49
dc.identifier.urihttps://hdl.handle.net/11129/8611
dc.identifier.volume9082
dc.identifier.wosWOS:000362366800049
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer-Verlag Berlin
dc.relation.ispartofMathematical Morphology and Its Applications To Signal and Image Processing
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectDiamond grid
dc.subjectCombinatorial coordinate system
dc.subjectTopological operations
dc.subjectAbstract cell complexes
dc.subjectNon-traditional grids
dc.titleA Combinatorial 4-Coordinate System for the Diamond Grid
dc.typeConference Object

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