Layer the sphere

For accurate and additive voxelation by integer operation

Verfasser / Beitragende:
[Ranita Biswas, Partha Bhowmick]
Ort, Verlag, Jahr:
2015
Enthalten in:
The Visual Computer, 31/6-8(2015-06-01), 787-797
Format:
Artikel (online)
ID: 605540802
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024 7 0 |a 10.1007/s00371-015-1101-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00371-015-1101-3 
245 0 0 |a Layer the sphere  |h [Elektronische Daten]  |b For accurate and additive voxelation by integer operation  |c [Ranita Biswas, Partha Bhowmick] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a 3D printing  |2 nationallicence 
690 7 |a Discrete sphere  |2 nationallicence 
690 7 |a Integer algorithm  |2 nationallicence 
690 7 |a Rapid prototyping  |2 nationallicence 
690 7 |a Sphere voxelation  |2 nationallicence 
700 1 |a Biswas  |D Ranita  |u Computer Science and Engineering Department, Indian Institute of Technology, Kharagpur, India  |4 aut 
700 1 |a Bhowmick  |D Partha  |u Computer Science and Engineering Department, Indian Institute of Technology, Kharagpur, India  |4 aut 
773 0 |t The Visual Computer  |d Springer Berlin Heidelberg  |g 31/6-8(2015-06-01), 787-797  |x 0178-2789  |q 31:6-8<787  |1 2015  |2 31  |o 371 
856 4 0 |u https://doi.org/10.1007/s00371-015-1101-3  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00371-015-1101-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Biswas  |D Ranita  |u Computer Science and Engineering Department, Indian Institute of Technology, Kharagpur, India  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bhowmick  |D Partha  |u Computer Science and Engineering Department, Indian Institute of Technology, Kharagpur, India  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t The Visual Computer  |d Springer Berlin Heidelberg  |g 31/6-8(2015-06-01), 787-797  |x 0178-2789  |q 31:6-8<787  |1 2015  |2 31  |o 371