---
_id: '9824'
abstract:
- lang: eng
  text: We define a new compact coordinate system in which each integer triplet addresses
    a voxel in the BCC grid, and we investigate some of its properties. We propose
    a characterization of 3D discrete analytical planes with their topological features
    (in the Cartesian and in the new coordinate system) such as the interrelation
    between the thickness of the plane and the separability constraint we aim to obtain.
acknowledgement: '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: “Innovative scientific and artistic research from
  the FTS (activity) domain” (LČ), the European Research Council (ERC) under the European
  Union’s Horizon 2020 research and innovation programme, grant no. 788183 (RB), and
  the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’,
  Austrian Science Fund (FWF), grant no. I 02979-N35 (RB).'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Lidija
  full_name: Čomić, Lidija
  last_name: Čomić
- first_name: Rita
  full_name: Zrour, Rita
  last_name: Zrour
- first_name: Gaëlle
  full_name: Largeteau-Skapin, Gaëlle
  last_name: Largeteau-Skapin
- first_name: Ranita
  full_name: Biswas, Ranita
  id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
  last_name: Biswas
  orcid: 0000-0002-5372-7890
- first_name: Eric
  full_name: Andres, Eric
  last_name: Andres
citation:
  ama: 'Čomić L, Zrour R, Largeteau-Skapin G, Biswas R, Andres E. Body centered cubic
    grid - coordinate system and discrete analytical plane definition. In: <i>Discrete
    Geometry and Mathematical Morphology</i>. Vol 12708. Springer Nature; 2021:152-163.
    doi:<a href="https://doi.org/10.1007/978-3-030-76657-3_10">10.1007/978-3-030-76657-3_10</a>'
  apa: 'Čomić, L., Zrour, R., Largeteau-Skapin, G., Biswas, R., &#38; Andres, E. (2021).
    Body centered cubic grid - coordinate system and discrete analytical plane definition.
    In <i>Discrete Geometry and Mathematical Morphology</i> (Vol. 12708, pp. 152–163).
    Uppsala, Sweden: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-76657-3_10">https://doi.org/10.1007/978-3-030-76657-3_10</a>'
  chicago: Čomić, Lidija, Rita Zrour, Gaëlle Largeteau-Skapin, Ranita Biswas, and
    Eric Andres. “Body Centered Cubic Grid - Coordinate System and Discrete Analytical
    Plane Definition.” In <i>Discrete Geometry and Mathematical Morphology</i>, 12708:152–63.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/978-3-030-76657-3_10">https://doi.org/10.1007/978-3-030-76657-3_10</a>.
  ieee: L. Čomić, R. Zrour, G. Largeteau-Skapin, R. Biswas, and E. Andres, “Body centered
    cubic grid - coordinate system and discrete analytical plane definition,” in <i>Discrete
    Geometry and Mathematical Morphology</i>, Uppsala, Sweden, 2021, vol. 12708, pp.
    152–163.
  ista: 'Čomić L, Zrour R, Largeteau-Skapin G, Biswas R, Andres E. 2021. Body centered
    cubic grid - coordinate system and discrete analytical plane definition. Discrete
    Geometry and Mathematical Morphology. DGMM: International Conference on Discrete
    Geometry and Mathematical Morphology, LNCS, vol. 12708, 152–163.'
  mla: Čomić, Lidija, et al. “Body Centered Cubic Grid - Coordinate System and Discrete
    Analytical Plane Definition.” <i>Discrete Geometry and Mathematical Morphology</i>,
    vol. 12708, Springer Nature, 2021, pp. 152–63, doi:<a href="https://doi.org/10.1007/978-3-030-76657-3_10">10.1007/978-3-030-76657-3_10</a>.
  short: L. Čomić, R. Zrour, G. Largeteau-Skapin, R. Biswas, E. Andres, in:, Discrete
    Geometry and Mathematical Morphology, Springer Nature, 2021, pp. 152–163.
conference:
  end_date: 2021-05-27
  location: Uppsala, Sweden
  name: 'DGMM: International Conference on Discrete Geometry and Mathematical Morphology'
  start_date: 2021-05-24
date_created: 2021-08-08T22:01:29Z
date_published: 2021-05-16T00:00:00Z
date_updated: 2022-05-31T06:58:21Z
day: '16'
department:
- _id: HeEd
doi: 10.1007/978-3-030-76657-3_10
ec_funded: 1
intvolume: '     12708'
language:
- iso: eng
month: '05'
oa_version: None
page: 152-163
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: I02979-N35
  name: Persistence and stability of geometric complexes
publication: Discrete Geometry and Mathematical Morphology
publication_identifier:
  eissn:
  - '16113349'
  isbn:
  - '9783030766566'
  issn:
  - '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Body centered cubic grid - coordinate system and discrete analytical plane
  definition
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12708
year: '2021'
...