Layer the sphere
For accurate and additive voxelation by integer operation
Gespeichert in:
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)
Online Zugang:
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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 |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 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 | ||