{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T04:11:00Z","timestamp":1751429460168,"version":"3.41.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2009,5,1]],"date-time":"2009-05-01T00:00:00Z","timestamp":1241136000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2009,5]]},"abstract":"<jats:p> Hypergraphs are a large generalisation of graphs; they are now used for many low-level image processing, by example for noise reduction, edge detection and segmentation [3, 4, 7]. In this paper we define a generic 2D and 3D-image representation based on a hypergraph. We present the mathematical definition of the hypergraph representation of an image and we show how this representation conducts to an efficient lossless compression algorithm for 2D and 3D-images. Then we introduce both 2D and 3D version of the algorithm and we give some experimental results on some various sets of images: 2D photo, 2D synthetic pictures, 3D medical images and some short animated sequences. <\/jats:p>","DOI":"10.3233\/fi-2009-0056","type":"journal-article","created":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T03:35:33Z","timestamp":1575344133000},"page":"533-546","source":"Crossref","is-referenced-by-count":0,"title":["Hypergraphs for Generic Lossless Image Compression"],"prefix":"10.1177","volume":"91","author":[{"given":"Luc","family":"Gillibert","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Caen, GREYC UMR-6072, Campus II,\r\t\t\t Bd Marechal Juin BP 5186, 14032 Caen cedex, France.\r\t\t\t luc.gillibert@info.unicaen.fr; alain.bretto@info.unicaen.fr"}]},{"given":"Alain","family":"Bretto","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Caen, GREYC UMR-6072, Campus II,\r\t\t\t Bd Marechal Juin BP 5186, 14032 Caen cedex, France.\r\t\t\t luc.gillibert@info.unicaen.fr; alain.bretto@info.unicaen.fr"}]}],"member":"179","published-online":{"date-parts":[[2009,5,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2009-0056","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2009-0056","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T10:54:09Z","timestamp":1751367249000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2009-0056"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,5]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2009,5]]}},"alternative-id":["10.3233\/FI-2009-0056"],"URL":"https:\/\/doi.org\/10.3233\/fi-2009-0056","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"type":"print","value":"0169-2968"},{"type":"electronic","value":"1875-8681"}],"subject":[],"published":{"date-parts":[[2009,5]]}}}