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Pattern recognition letters, 2016-11, Vol.83 (1), p.67-74
2016

Details

Autor(en) / Beteiligte
Titel
A topological 4-coordinate system for the face centered cubic grid
Ist Teil von
  • Pattern recognition letters, 2016-11, Vol.83 (1), p.67-74
Ort / Verlag
Amsterdam: Elsevier B.V
Erscheinungsjahr
2016
Link zum Volltext
Quelle
Elsevier ScienceDirect Journals
Beschreibungen/Notizen
  • •Face centered cubic (FCC) grid has some advantages in various applications.•A coordinate system that addresses all cells in the complex induced by FCC grid is defined.•4-coordinate values are used to reflect the symmetry of the FCC grid.•Incidence and adjacency relations between cells are easily retrieved from this system.•An application to boundary tracking is presented. [Display omitted] Non traditional 3D grids, such as face centered cubic and body centered cubic, have some advantages over the traditional cubic grid. They offer, combined with the use of topological coordinates that address not only the voxels, but also the lower dimensional cells of the grid, a way to avoid some topological paradoxes of digital geometry. In this paper, a symmetric topological 4-coordinate system is presented for the face centered cubic grid. Incidence (boundary and co-boundary) and adjacency relations between cells can easily be deduced from cell coordinates through simple integer operations. An application of the proposed coordinate system to graphics/visualization area is shown.
Sprache
Englisch
Identifikatoren
ISSN: 0167-8655
eISSN: 1872-7344
DOI: 10.1016/j.patrec.2016.03.012
Titel-ID: cdi_proquest_journals_2084462488

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