{"id":"https://openalex.org/W1541233761","doi":"https://doi.org/10.1007/978-3-540-77566-9_32","title":"Basic Sets in the Digital Plane","display_name":"Basic Sets in the Digital Plane","publication_year":2008,"publication_date":"2008-01-05","ids":{"openalex":"https://openalex.org/W1541233761","doi":"https://doi.org/10.1007/978-3-540-77566-9_32","mag":"1541233761"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77566-9_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77566-9_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074825314","display_name":"Ne\u017ea Mramor-Kosta","orcid":null},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I4210106342","display_name":"Institute of Mathematics, Physics, and Mechanics","ror":"https://ror.org/01eb3qa50","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210106342"]}],"countries":["SI"],"is_corresponding":true,"raw_author_name":"Ne\u017ea Mramor-Kosta","raw_affiliation_strings":["Faculty of Computer and Information Science and Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana, Slovenia","University of Ljubljana, Faculty of Computer and Information Science and Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer and Information Science and Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210106342","https://openalex.org/I153976015"]},{"raw_affiliation_string":"University of Ljubljana, Faculty of Computer and Information Science and Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia#TAB#","institution_ids":["https://openalex.org/I4210106342","https://openalex.org/I153976015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044996204","display_name":"Eva Trenklerov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I4210105280","display_name":"Institute of Mathematics","ror":"https://ror.org/00vsg3p53","country_code":"BY","type":"facility","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210105280","https://openalex.org/I4210116091"]},{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]}],"countries":["BY","SK"],"is_corresponding":false,"raw_author_name":"Eva Trenklerov\u00e1","raw_affiliation_strings":["Institute of Computer Science Faculty of Science, P.J.\u0160af\u00e1rik University, Slovakia","Institute of Computer Science, Faculty of Science, P.J.\u0160af\u00e1rik University, Ko\u0161ice, Slovakia#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science Faculty of Science, P.J.\u0160af\u00e1rik University, Slovakia","institution_ids":["https://openalex.org/I204881574","https://openalex.org/I4210105280"]},{"raw_affiliation_string":"Institute of Computer Science, Faculty of Science, P.J.\u0160af\u00e1rik University, Ko\u0161ice, Slovakia#TAB#","institution_ids":["https://openalex.org/I204881574"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074825314"],"corresponding_institution_ids":["https://openalex.org/I153976015","https://openalex.org/I4210106342"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10690571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"376","last_page":"387"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9764000177383423,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11992","display_name":"CCD and CMOS Imaging Sensors","score":0.9323999881744385,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6607502698898315},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.6265558004379272},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.568535327911377},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5465883016586304},{"id":"https://openalex.org/keywords/digital-image","display_name":"Digital image","score":0.5181728601455688},{"id":"https://openalex.org/keywords/window","display_name":"Window (computing)","score":0.48759594559669495},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.48177191615104675},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.46976280212402344},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.4362197518348694},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.42517608404159546},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42469459772109985},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.4192153215408325},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4152984917163849},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3961913585662842},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3104718029499054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2457122802734375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2332119643688202},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17903998494148254},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.1643444001674652},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12504270672798157},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09181192517280579}],"concepts":[{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6607502698898315},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.6265558004379272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.568535327911377},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5465883016586304},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.5181728601455688},{"id":"https://openalex.org/C2778751112","wikidata":"https://www.wikidata.org/wiki/Q835016","display_name":"Window (computing)","level":2,"score":0.48759594559669495},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.48177191615104675},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.46976280212402344},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.4362197518348694},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.42517608404159546},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42469459772109985},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.4192153215408325},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4152984917163849},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3961913585662842},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3104718029499054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2457122802734375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2332119643688202},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17903998494148254},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.1643444001674652},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12504270672798157},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09181192517280579},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-77566-9_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77566-9_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W159847272","https://openalex.org/W1539564662","https://openalex.org/W2055645591","https://openalex.org/W2056575351","https://openalex.org/W2056950489","https://openalex.org/W2072640822","https://openalex.org/W4254622438"],"related_works":["https://openalex.org/W2109115373","https://openalex.org/W2390901981","https://openalex.org/W2096549381","https://openalex.org/W1604481637","https://openalex.org/W39381033","https://openalex.org/W2242060590","https://openalex.org/W2184232393","https://openalex.org/W2169864736","https://openalex.org/W2226528826","https://openalex.org/W2153808273"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}