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: | Englisch |
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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| _version_ | 1860235955837861888 |
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| author | Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. |
| author_facet | Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T18:23:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149141 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:23:47Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Image Sampling with Quasicrystals Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. |
| title | Image Sampling with Quasicrystals |
| title_full | Image Sampling with Quasicrystals |
| title_fullStr | Image Sampling with Quasicrystals |
| title_full_unstemmed | Image Sampling with Quasicrystals |
| title_short | Image Sampling with Quasicrystals |
| title_sort | image sampling with quasicrystals |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149141 |
| work_keys_str_mv | AT grundlandm imagesamplingwithquasicrystals AT pateraj imagesamplingwithquasicrystals AT masakovaz imagesamplingwithquasicrystals AT dodgsonna imagesamplingwithquasicrystals |