caa a22 4500 605540802 CHVBK 20210128100913.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00371-015-1101-3 doi (NATIONALLICENCE)springer-10.1007/s00371-015-1101-3 Layer the sphere [Elektronische Daten] For accurate and additive voxelation by integer operation [Ranita Biswas, Partha Bhowmick] Voxelation today is not only limited to discretization and representation of 3D objects, but has also been gaining tremendous importance in rapid prototyping through 3D printing. In this paper, we introduce a novel technique for discretization of a sphere in the integer space, which gives rise to a set of mathematically accurate, 3D-printable physical voxels up to the desired level of precision. The proposed technique is based on an interesting correspondence between the voxel set forming a discrete sphere and certain easy-to-compute integer intervals defined by voxel position and sphere dimension. It gives us several algorithmic leverages, such as computational sufficiency with simple integer operations and amenability to layer-by-layer additive fabrication. Theoretical analysis, prototype characteristics, and experimental results demonstrate its efficiency, versatility, and further prospects. Springer-Verlag Berlin Heidelberg, 2015 3D printing nationallicence Discrete sphere nationallicence Integer algorithm nationallicence Rapid prototyping nationallicence Sphere voxelation nationallicence Biswas Ranita Computer Science and Engineering Department, Indian Institute of Technology, Kharagpur, India aut Bhowmick Partha Computer Science and Engineering Department, Indian Institute of Technology, Kharagpur, India aut The Visual Computer Springer Berlin Heidelberg 31/6-8(2015-06-01), 787-797 0178-2789 31:6-8<787 2015 31 371 https://doi.org/10.1007/s00371-015-1101-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00371-015-1101-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Biswas Ranita Computer Science and Engineering Department, Indian Institute of Technology, Kharagpur, India aut NATIONALLICENCE 700 1- Bhowmick Partha Computer Science and Engineering Department, Indian Institute of Technology, Kharagpur, India aut NATIONALLICENCE 773 0- The Visual Computer Springer Berlin Heidelberg 31/6-8(2015-06-01), 787-797 0178-2789 31:6-8<787 2015 31 371