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International Symposium on Image and Signal Processing and Analysis, ISPAVolume 2021-September, 13 September 2021, Pages 235-24012th International Symposium on Image and Signal Processing and Analysis, ISPA 2021; Virtual, Zagreb; Croatia; 13 September 2021 through 15 September 2021; Category numberCFP21504-ART; Code 172371

A Combinatorial coordinate system for the vertices in the octagonal $C_{4}C_{8}(S)$ grid(Conference Paper)

  • Comic, L.
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  • University of Novi Sad, Faculty of Technical Sciences, Novi Sad, Serbia

Abstract

We define a new integer-valued combinatorial coordinate system for the vertices in the octagonal C4C8(S) grid. We review the existing coordinate systems proposed in the literature and provide formulas for the conversion between our and existing coordinate systems, as well as with Cartesian coordinates. The neighborhood relation between vertices can be obtained through arithmetic operations on vertex coordinates. © 2021 IEEE.

Author keywords

4.8.8 semiregular gridCombinatorial image analysisCoordinate systemDigital geometryKhalimsky gridOctagonal C4C8(S) gridTruncated square (8, 8, 4) grid

Indexed keywords

Engineering uncontrolled terms4.8.8 semiregular gridCartesian coordinateCo-ordinate systemCombinatorial image analyseDigital geometryImage-analysisKhalimsky gridNeighborhood relationOctagonal c4c8(S) gridTruncated square (8, 8, 4) grid

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja451-03-68/2020-14/200156MPNTR

  • 1

    ACKNOWLEDGMENT This work has been partially supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia through the project no. 451-03-68/2020-14/200156.

  • ISSN: 18455921
  • ISBN: 978-166542639-8
  • Source Type: Conference Proceeding
  • Original language: English
  • DOI: 10.1109/ISPA52656.2021.9552147
  • Document Type: Conference Paper
  • Volume Editors: Petkovic T.,Petrinovic D.,Loncaric S.
  • Publisher: IEEE Computer Society


© Copyright 2021 Elsevier B.V., All rights reserved.

Cited by 4 documents

Nagy, B.
A digital geometry on the tetrakis square tiling—Distance and coarsening
(2023) Transactions in GIS
Nagy, B.
Non-traditional 2D Grids in Combinatorial Imaging – Advances and Challenges
(2023) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Comic, L.
A Combinatorial coordinate system for the vertices in the octagonal $C_{4}C_{8}(S)$ grid
(2021) International Symposium on Image and Signal Processing and Analysis, ISPA
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