Body centered cubic grid - coordinate system and discrete analytical plane definition

conference paper Body centered cubic grid - coordinate system and discrete analytical plane definition LNCS published yes Lidija Čomić author Rita Zrour author Gaëlle Largeteau-Skapin author Ranita Biswas author 3C2B033E-F248-11E8-B48F-1D18A9856A870000-0002-5372-7890 Eric Andres author HeEd department DGMM: International Conference on Discrete Geometry and Mathematical Morphology Alpha Shape Theory Extended project Persistence and stability of geometric complexes project 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. Springer Nature2021Uppsala, Sweden eng Discrete Geometry and Mathematical Morphology 0302-9743 1611-3349 9783030766566 00128640040001010.1007/978-3-030-76657-3_10 12708152-163 L. Čomić, R. Zrour, G. Largeteau-Skapin, R. Biswas, E. Andres, in:, Discrete Geometry and Mathematical Morphology, Springer Nature, 2021, pp. 152–163. Čomić L, Zrour R, Largeteau-Skapin G, Biswas R, Andres E. Body centered cubic grid - coordinate system and discrete analytical plane definition. In: Discrete Geometry and Mathematical Morphology. 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> L. Čomić, R. Zrour, G. Largeteau-Skapin, R. Biswas, and E. Andres, “Body centered cubic grid - coordinate system and discrete analytical plane definition,” in Discrete Geometry and Mathematical Morphology, Uppsala, Sweden, 2021, vol. 12708, pp. 152–163. Čomić, Lidija, Rita Zrour, Gaëlle Largeteau-Skapin, Ranita Biswas, and Eric Andres. “Body Centered Cubic Grid - Coordinate System and Discrete Analytical Plane Definition.” In Discrete Geometry and Mathematical Morphology, 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>. Čomić, L., Zrour, R., Largeteau-Skapin, G., Biswas, R., & Andres, E. (2021). Body centered cubic grid - coordinate system and discrete analytical plane definition. In Discrete Geometry and Mathematical Morphology (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> 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. Čomić, Lidija, et al. “Body Centered Cubic Grid - Coordinate System and Discrete Analytical Plane Definition.” Discrete Geometry and Mathematical Morphology, 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>. 98242021-08-08T22:01:29Z2026-04-16T09:26:30Z