{"status":"public","title":"The adaptive topology of a digital image","quality_controlled":"1","scopus_import":1,"publisher":"IEEE","date_created":"2018-12-11T12:00:15Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa_version":"Submitted Version","oa":1,"abstract":[{"text":"In order to enjoy a digital version of the Jordan Curve Theorem, it is common to use the closed topology for the foreground and the open topology for the background of a 2-dimensional binary image. In this paper, we introduce a single topology that enjoys this theorem for all thresholds decomposing a real-valued image into foreground and background. This topology is easy to construct and it generalizes to n-dimensional images.","lang":"eng"}],"department":[{"_id":"HeEd"},{"_id":"MaJö"}],"date_published":"2012-08-06T00:00:00Z","publication_status":"published","date_updated":"2021-01-12T07:00:35Z","month":"08","day":"06","type":"conference","file":[{"access_level":"open_access","creator":"system","file_name":"IST-2016-545-v1+1_2012-P-10-AdaptiveTopology.pdf","content_type":"application/pdf","checksum":"444869a4e8abf07834f88b6e5cb5e9c3","relation":"main_file","file_size":760548,"date_created":"2018-12-12T10:09:41Z","file_id":"4765","date_updated":"2020-07-14T12:45:52Z"}],"ddc":["000"],"file_date_updated":"2020-07-14T12:45:52Z","year":"2012","publist_id":"3844","_id":"2903","pubrep_id":"545","language":[{"iso":"eng"}],"conference":{"end_date":"2012-06-29","location":"New Brunswick, NJ, USA ","name":"ISVD: International Symposium on Voronoi Diagrams in Science and Engineering","start_date":"2012-06-27"},"citation":{"mla":"Edelsbrunner, Herbert, and Olga Symonova. <i>The Adaptive Topology of a Digital Image</i>. IEEE, 2012, pp. 41–48, doi:<a href=\"https://doi.org/10.1109/ISVD.2012.11\">10.1109/ISVD.2012.11</a>.","ieee":"H. Edelsbrunner and O. Symonova, “The adaptive topology of a digital image,” presented at the ISVD: International Symposium on Voronoi Diagrams in Science and Engineering, New Brunswick, NJ, USA , 2012, pp. 41–48.","ama":"Edelsbrunner H, Symonova O. The adaptive topology of a digital image. In: IEEE; 2012:41-48. doi:<a href=\"https://doi.org/10.1109/ISVD.2012.11\">10.1109/ISVD.2012.11</a>","chicago":"Edelsbrunner, Herbert, and Olga Symonova. “The Adaptive Topology of a Digital Image,” 41–48. IEEE, 2012. <a href=\"https://doi.org/10.1109/ISVD.2012.11\">https://doi.org/10.1109/ISVD.2012.11</a>.","ista":"Edelsbrunner H, Symonova O. 2012. The adaptive topology of a digital image. ISVD: International Symposium on Voronoi Diagrams in Science and Engineering, 41–48.","apa":"Edelsbrunner, H., &#38; Symonova, O. (2012). The adaptive topology of a digital image (pp. 41–48). Presented at the ISVD: International Symposium on Voronoi Diagrams in Science and Engineering, New Brunswick, NJ, USA : IEEE. <a href=\"https://doi.org/10.1109/ISVD.2012.11\">https://doi.org/10.1109/ISVD.2012.11</a>","short":"H. Edelsbrunner, O. Symonova, in:, IEEE, 2012, pp. 41–48."},"has_accepted_license":"1","author":[{"orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert"},{"first_name":"Olga","last_name":"Symonova","id":"3C0C7BC6-F248-11E8-B48F-1D18A9856A87","full_name":"Symonova, Olga"}],"page":"41 - 48","doi":"10.1109/ISVD.2012.11"}