Image Sampling with Quasicrystals
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Image Sampling with Quasicrystals
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| Creator |
Grundland, M.
Patera, J. Masáková, Z. Dodgson, N.A. |
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| Description |
We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread out throughout the sampled image. Their self-similar structure can be attractive for creating sampling patterns endowed with a decorative symmetry. We present a brief general overview of the algebraic theory of cut-and-project quasicrystals based on the geometry of the golden ratio. To assess the practical utility of quasicrystal sampling, we evaluate the visual effects of a variety of non-adaptive image sampling strategies on photorealistic image reconstruction and non-photorealistic image rendering used in multiresolution image representations. For computer visualization of point sets used in image sampling, we introduce a mosaic rendering technique.
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| Date |
2019-02-19T17:38:37Z
2019-02-19T17:38:37Z 2009 |
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| Type |
Article
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| Identifier |
Image Sampling with Quasicrystals / M. Grundland, J. Patera, Z. Masáková, N.A. Dodgson // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 51 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 20H15; 52C23; 68U99; 82D25 http://dspace.nbuv.gov.ua/handle/123456789/149141 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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