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...
Збережено в:
| Дата: | 2009 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149141 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149141 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1491412019-02-20T01:26:22Z Image Sampling with Quasicrystals Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. 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. 2009 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. |
| spellingShingle |
Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. Image Sampling with Quasicrystals Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Grundland, M. Patera, J. Masáková, Z. Dodgson, N.A. |
| author_sort |
Grundland, M. |
| title |
Image Sampling with Quasicrystals |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT grundlandm imagesamplingwithquasicrystals AT pateraj imagesamplingwithquasicrystals AT masakovaz imagesamplingwithquasicrystals AT dodgsonna imagesamplingwithquasicrystals |
| first_indexed |
2023-05-20T17:32:24Z |
| last_indexed |
2023-05-20T17:32:24Z |
| _version_ |
1796153524446298112 |