---
_id: '6164'
abstract:
- lang: eng
  text: In this paper, we propose an algorithm to build discrete spherical shell having
    integer center and real-valued inner and outer radii on the face-centered cubic
    (FCC) grid. We address the problem by mapping it to a 2D scenario and building
    the shell layer by layer on hexagonal grids with additive manufacturing in mind.
    The layered hexagonal grids get shifted according to need as we move from one
    layer to another and forms the FCC grid in 3D. However, we restrict our computation
    strictly to 2D in order to utilize symmetry and simplicity.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Girish
  full_name: Koshti, Girish
  last_name: Koshti
- first_name: Ranita
  full_name: Biswas, Ranita
  id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
  last_name: Biswas
  orcid: 0000-0002-5372-7890
- first_name: Gaëlle
  full_name: Largeteau-Skapin, Gaëlle
  last_name: Largeteau-Skapin
- first_name: Rita
  full_name: Zrour, Rita
  last_name: Zrour
- first_name: Eric
  full_name: Andres, Eric
  last_name: Andres
- first_name: Partha
  full_name: Bhowmick, Partha
  last_name: Bhowmick
citation:
  ama: 'Koshti G, Biswas R, Largeteau-Skapin G, Zrour R, Andres E, Bhowmick P. Sphere
    construction on the FCC grid interpreted as layered hexagonal grids in 3D. In:
    <i>19th International Workshop</i>. Vol 11255. Cham: Springer; 2018:82-96. doi:<a
    href="https://doi.org/10.1007/978-3-030-05288-1_7">10.1007/978-3-030-05288-1_7</a>'
  apa: 'Koshti, G., Biswas, R., Largeteau-Skapin, G., Zrour, R., Andres, E., &#38;
    Bhowmick, P. (2018). Sphere construction on the FCC grid interpreted as layered
    hexagonal grids in 3D. In <i>19th International Workshop</i> (Vol. 11255, pp.
    82–96). Cham: Springer. <a href="https://doi.org/10.1007/978-3-030-05288-1_7">https://doi.org/10.1007/978-3-030-05288-1_7</a>'
  chicago: 'Koshti, Girish, Ranita Biswas, Gaëlle Largeteau-Skapin, Rita Zrour, Eric
    Andres, and Partha Bhowmick. “Sphere Construction on the FCC Grid Interpreted
    as Layered Hexagonal Grids in 3D.” In <i>19th International Workshop</i>, 11255:82–96.
    Cham: Springer, 2018. <a href="https://doi.org/10.1007/978-3-030-05288-1_7">https://doi.org/10.1007/978-3-030-05288-1_7</a>.'
  ieee: G. Koshti, R. Biswas, G. Largeteau-Skapin, R. Zrour, E. Andres, and P. Bhowmick,
    “Sphere construction on the FCC grid interpreted as layered hexagonal grids in
    3D,” in <i>19th International Workshop</i>, Porto, Portugal, 2018, vol. 11255,
    pp. 82–96.
  ista: 'Koshti G, Biswas R, Largeteau-Skapin G, Zrour R, Andres E, Bhowmick P. 2018.
    Sphere construction on the FCC grid interpreted as layered hexagonal grids in
    3D. 19th International Workshop. IWCIA: International Workshop on Combinatorial
    Image Analysis, LNCS, vol. 11255, 82–96.'
  mla: Koshti, Girish, et al. “Sphere Construction on the FCC Grid Interpreted as
    Layered Hexagonal Grids in 3D.” <i>19th International Workshop</i>, vol. 11255,
    Springer, 2018, pp. 82–96, doi:<a href="https://doi.org/10.1007/978-3-030-05288-1_7">10.1007/978-3-030-05288-1_7</a>.
  short: G. Koshti, R. Biswas, G. Largeteau-Skapin, R. Zrour, E. Andres, P. Bhowmick,
    in:, 19th International Workshop, Springer, Cham, 2018, pp. 82–96.
conference:
  end_date: 2018-11-24
  location: Porto, Portugal
  name: 'IWCIA: International Workshop on Combinatorial Image Analysis'
  start_date: 2018-11-22
date_created: 2019-03-21T12:16:58Z
date_published: 2018-11-22T00:00:00Z
date_updated: 2022-01-27T15:26:39Z
day: '22'
doi: 10.1007/978-3-030-05288-1_7
extern: '1'
intvolume: '     11255'
language:
- iso: eng
month: '11'
oa_version: None
page: 82-96
place: Cham
publication: 19th International Workshop
publication_identifier:
  eisbn:
  - 978-3-030-05288-1
  eissn:
  - 1611-3349
  isbn:
  - 978-3-030-05287-4
  issn:
  - 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Sphere construction on the FCC grid interpreted as layered hexagonal grids
  in 3D
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 11255
year: '2018'
...