Visualizing point sets, fractals, and quasicrystals using raster techniques
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Abstract
- Algorithms for creating a natural Voronoi tiling associated with point sets are developed. These algorithms provide additional information about the tiling which can be readily visualized. Images created in this way can be quite striking. We illustrate the application of the algorithms on fractals, lattices, and quasicrystals.
| Title | Visualizing point sets, fractals, and quasicrystals using raster techniques |
|---|---|
| Creator | Allis, N. W. |
| Dumont, J. P. | |
| Reiter, Clifford A. | |
| Publisher | Computers and Graphics |
| Academic Department | Mathematics |
| Division | Natural Sciences |
| Organization | Lafayette College |
| Date Issued | 2001 |
| Date Available | 2015-04-21T18:08:07Z |
| Type | Article |
| Language | English |
| Keyword | quasicrystals |
| aperiodic | |
| Voronoi cell | |
| diffraction | |
| Penrose tilings | |
| Bibliographic Citation | Allis, N. W., J. P. Dumont, and C. A. Reiter (2001) "Visualizing point sets, fractals, and quasicrystals using raster techniques." 25 (3): 519-527. |
| Standard Identifier | Handle 10385/1830 |
| DOI 10.1016/S0097-8493(01)00073-5 | |
| Permalink | http://hdl.handle.net/10385/1830 |
| Rights Statement |
In Copyright
|
| Rights Holders | Elsevier Science Ltd. |
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| File | Reiter-ComputersandGraphics-vol25-2001-p519.pdf | Uploaded 2019-10-20 | Public | Download |
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