{"id":"https://openalex.org/W2077720232","doi":"https://doi.org/10.1007/s00200-008-0064-2","title":"Reconstructing masks from markers in non-distributive lattices","display_name":"Reconstructing masks from markers in non-distributive lattices","publication_year":2008,"publication_date":"2008-01-29","ids":{"openalex":"https://openalex.org/W2077720232","doi":"https://doi.org/10.1007/s00200-008-0064-2","mag":"2077720232"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-008-0064-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-008-0064-2","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","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/A5024971334","display_name":"Christian Ronse","orcid":"https://orcid.org/0000-0001-8319-2615"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210116974","display_name":"Laboratoire d'Innovation Th\u00e9rapeutique","ror":"https://ror.org/02g4mxc89","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210116974","https://openalex.org/I4210128300","https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christian Ronse","raw_affiliation_strings":["LSIIT UMR 7005 CNRS-ULP, Parc d\u2019Innovation, Boulevard S\u00e8bastien Brant, BP 10413, 67412, Illkirch Cedex, France","LSIIT UMR 7005 CNRS-ULP, BP 10413, Parc d\u2019Innovation, Boulevard S\u00e8bastien Brant, 67412, Illkirch Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSIIT UMR 7005 CNRS-ULP, Parc d\u2019Innovation, Boulevard S\u00e8bastien Brant, BP 10413, 67412, Illkirch Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210116974"]},{"raw_affiliation_string":"LSIIT UMR 7005 CNRS-ULP, BP 10413, Parc d\u2019Innovation, Boulevard S\u00e8bastien Brant, 67412, Illkirch Cedex, France#TAB#","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024971334"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210116974"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":3.5118,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.92465824,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"1","first_page":"51","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9986000061035156,"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":0.9986000061035156,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9957000017166138,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7270922064781189},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.7198965549468994},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.6760010719299316},{"id":"https://openalex.org/keywords/complete-lattice","display_name":"Complete lattice","score":0.6706063747406006},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6422061324119568},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.6400367021560669},{"id":"https://openalex.org/keywords/congruence-lattice-problem","display_name":"Congruence lattice problem","score":0.6323599815368652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5013751983642578},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.49481385946273804},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4721893072128296},{"id":"https://openalex.org/keywords/map-of-lattices","display_name":"Map of lattices","score":0.4605509340763092},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44729217886924744},{"id":"https://openalex.org/keywords/binary-operation","display_name":"Binary operation","score":0.4120643138885498},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3181122839450836},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2484581470489502},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2138274908065796},{"id":"https://openalex.org/keywords/reciprocal-lattice","display_name":"Reciprocal lattice","score":0.14833885431289673},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10673573613166809},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10184195637702942},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.08209607005119324}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7270922064781189},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.7198965549468994},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.6760010719299316},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.6706063747406006},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6422061324119568},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.6400367021560669},{"id":"https://openalex.org/C84540187","wikidata":"https://www.wikidata.org/wiki/Q5160997","display_name":"Congruence lattice problem","level":4,"score":0.6323599815368652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5013751983642578},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.49481385946273804},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4721893072128296},{"id":"https://openalex.org/C128379363","wikidata":"https://www.wikidata.org/wiki/Q6753757","display_name":"Map of lattices","level":4,"score":0.4605509340763092},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44729217886924744},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.4120643138885498},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3181122839450836},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2484581470489502},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2138274908065796},{"id":"https://openalex.org/C89957378","wikidata":"https://www.wikidata.org/wiki/Q164129","display_name":"Reciprocal lattice","level":3,"score":0.14833885431289673},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10673573613166809},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10184195637702942},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.08209607005119324},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-008-0064-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-008-0064-2","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W18547722","https://openalex.org/W203961012","https://openalex.org/W789110820","https://openalex.org/W1429231599","https://openalex.org/W1481087063","https://openalex.org/W1500907847","https://openalex.org/W1508596486","https://openalex.org/W1516578265","https://openalex.org/W1525647423","https://openalex.org/W1561442812","https://openalex.org/W1568269178","https://openalex.org/W1585750704","https://openalex.org/W1590218343","https://openalex.org/W1590915775","https://openalex.org/W1598317997","https://openalex.org/W1804215798","https://openalex.org/W1975610128","https://openalex.org/W2002579073","https://openalex.org/W2008290018","https://openalex.org/W2028431569","https://openalex.org/W2039152227","https://openalex.org/W2043907866","https://openalex.org/W2052594950","https://openalex.org/W2056223492","https://openalex.org/W2060214618","https://openalex.org/W2074113357","https://openalex.org/W2076554987","https://openalex.org/W2078065491","https://openalex.org/W2088112410","https://openalex.org/W2093555426","https://openalex.org/W2102750894","https://openalex.org/W2116002928","https://openalex.org/W2121988099","https://openalex.org/W2146842130","https://openalex.org/W2164741953","https://openalex.org/W2170949105","https://openalex.org/W2913336137","https://openalex.org/W2914459806","https://openalex.org/W4205529794","https://openalex.org/W4230982142","https://openalex.org/W4285719527","https://openalex.org/W6820218645"],"related_works":["https://openalex.org/W2065004139","https://openalex.org/W1975062576","https://openalex.org/W4225006771","https://openalex.org/W2003137965","https://openalex.org/W2064894836","https://openalex.org/W2232374221","https://openalex.org/W1974309644","https://openalex.org/W2365295161","https://openalex.org/W2126448176","https://openalex.org/W2031049596"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}