Image Sampling with Quasicrystals
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 attracti...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2009 |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149141 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149141 |
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Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. 2019-02-19T17:38:37Z 2019-02-19T17:38:37Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/149141 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Image Sampling with Quasicrystals Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Image Sampling with Quasicrystals |
| spellingShingle |
Image Sampling with Quasicrystals Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. |
| title_short |
Image Sampling with Quasicrystals |
| title_full |
Image Sampling with Quasicrystals |
| title_fullStr |
Image Sampling with Quasicrystals |
| title_full_unstemmed |
Image Sampling with Quasicrystals |
| title_sort |
image sampling with quasicrystals |
| author |
Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. |
| author_facet |
Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149141 |
| citation_txt |
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. |
| work_keys_str_mv |
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| first_indexed |
2025-12-07T18:23:47Z |
| last_indexed |
2025-12-07T18:23:47Z |
| _version_ |
1850874871024713728 |