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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Image Sampling with Quasicrystals
Mark Grundlanda, Jirí Paterab, Zuzana Masákovác, Neil A. Dodgsona a Computer Laboratory, University of Cambridge, UK
b Centre de Recherches Mathématiques, Université de Montréal, Canada
c Department of Mathematics FNSPE, Czech Technical University in Prague, Czech Republic
Аннотация:
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.
Ключевые слова:
computer graphics; image sampling; image representation;cut-and-project quasicrystal; non-periodic tiling; golden ratio;mosaic rendering.
Поступила: 15 декабря 2008 г.; в окончательном варианте 6 июля 2009 г.; опубликована 20 июля 2009 г.
Образец цитирования:
Mark Grundland, Jirí Patera, Zuzana Masáková, Neil A. Dodgson, “Image Sampling with Quasicrystals”, SIGMA, 5 (2009), 075, 23 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma420 https://www.mathnet.ru/rus/sigma/v5/p75
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