Sphere construction on the FCC grid interpreted as layered hexagonal grids in 3D

G. Koshti, R. Biswas, G. Largeteau-Skapin, R. Zrour, E. Andres, P. Bhowmick, in:, Lecture Notes in Computer Science, Springer, Cham, 2018, pp. 82–96.

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Conference Paper | Published | English
Author
Koshti, Girish; Biswas, RanitaIST Austria ; Largeteau-Skapin, Gaëlle; Zrour, Rita; Andres, Eric; Bhowmick, Partha
Series Title
LNCS
Abstract
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.
Publishing Year
Date Published
2018-11-22
Proceedings Title
Lecture Notes in Computer Science
Volume
11255
Page
82-96
Conference
IWCIA: International Workshop on Combinatorial Image Analysis
Conference Location
Porto, Portugal
Conference Date
2018-11-22 – 2018-11-24
IST-REx-ID

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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: Lecture Notes in Computer Science. Vol 11255. Cham: Springer; 2018:82-96. doi:10.1007/978-3-030-05288-1_7
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. In Lecture Notes in Computer Science (Vol. 11255, pp. 82–96). Cham: Springer. https://doi.org/10.1007/978-3-030-05288-1_7
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 Lecture Notes in Computer Science, 11255:82–96. Cham: Springer, 2018. https://doi.org/10.1007/978-3-030-05288-1_7.
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 Lecture Notes in Computer Science, Porto, Portugal, 2018, vol. 11255, pp. 82–96.
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. Lecture Notes in Computer Science. IWCIA: International Workshop on Combinatorial Image Analysis, LNCS, vol. 11255. 82–96.
Koshti, Girish, et al. “Sphere Construction on the FCC Grid Interpreted as Layered Hexagonal Grids in 3D.” Lecture Notes in Computer Science, vol. 11255, Springer, 2018, pp. 82–96, doi:10.1007/978-3-030-05288-1_7.

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