{"id":"https://openalex.org/W3141046119","doi":"https://doi.org/10.1109/iciap.2007.4362825","title":"On Genuine Connectivity Relations Based on Logical Predicates","display_name":"On Genuine Connectivity Relations Based on Logical Predicates","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W3141046119","doi":"https://doi.org/10.1109/iciap.2007.4362825","mag":"3141046119"},"language":"en","primary_location":{"id":"doi:10.1109/iciap.2007.4362825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iciap.2007.4362825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"14th International Conference on Image Analysis and Processing (ICIAP 2007)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5049285677","display_name":"Pierre Soille","orcid":"https://orcid.org/0000-0002-8479-9205"},"institutions":[{"id":"https://openalex.org/I4210118689","display_name":"Joint Research Centre","ror":"https://ror.org/02qezmz13","country_code":"IT","type":"government","lineage":["https://openalex.org/I1320481043","https://openalex.org/I2800387288","https://openalex.org/I4210118689","https://openalex.org/I4210161702"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Pierre Soille","raw_affiliation_strings":["Spatial Data Infrastructures Unit, Institute for Environment and Sustainabililty, European Commission, DG Joint Research Centre, Varese, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Spatial Data Infrastructures Unit, Institute for Environment and Sustainabililty, European Commission, DG Joint Research Centre, Varese, Italy","institution_ids":["https://openalex.org/I4210118689"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049285677"],"corresponding_institution_ids":["https://openalex.org/I4210118689"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"487","last_page":"492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11605","display_name":"Visual Attention and Saliency Detection","score":0.9987000226974487,"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/T11605","display_name":"Visual Attention and Saliency Detection","score":0.9987000226974487,"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":0.9966999888420105,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.995199978351593,"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/pixel","display_name":"Pixel","score":0.7536975741386414},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5758242011070251},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5749833583831787},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5287171006202698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.528198778629303},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49948835372924805},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4869023859500885},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.47260576486587524},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.4597793221473694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43891647458076477},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4235479235649109},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.42134302854537964},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.375929057598114},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34091705083847046},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23401406407356262},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22155407071113586},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.17221301794052124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11301565170288086},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10219109058380127}],"concepts":[{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.7536975741386414},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5758242011070251},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5749833583831787},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5287171006202698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.528198778629303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49948835372924805},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4869023859500885},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.47260576486587524},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.4597793221473694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43891647458076477},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4235479235649109},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.42134302854537964},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.375929057598114},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34091705083847046},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23401406407356262},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22155407071113586},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.17221301794052124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11301565170288086},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10219109058380127},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"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/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iciap.2007.4362825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iciap.2007.4362825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"14th International Conference on Image Analysis and Processing (ICIAP 2007)","raw_type":"proceedings-article"},{"id":"pmh:oai:publications.jrc.ec.europa.eu:JRC37282","is_oa":false,"landing_page_url":"http://publications.jrc.ec.europa.eu/repository/handle/JRC37282","pdf_url":null,"source":{"id":"https://openalex.org/S4306401126","display_name":"Joint Research Centre (European Commission)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800387288","host_organization_name":"European Commission","host_organization_lineage":["https://openalex.org/I2800387288"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Contributions to Conferences"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W108464071","https://openalex.org/W1532572419","https://openalex.org/W1972885239","https://openalex.org/W1975610128","https://openalex.org/W1991673847","https://openalex.org/W2003102244","https://openalex.org/W2003321587","https://openalex.org/W2059865498","https://openalex.org/W2076554987","https://openalex.org/W2076640017","https://openalex.org/W2085390747","https://openalex.org/W2096579040","https://openalex.org/W2112619677","https://openalex.org/W2118080570","https://openalex.org/W2124260943","https://openalex.org/W2147224278","https://openalex.org/W4205687621","https://openalex.org/W4255306344"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4285710360","https://openalex.org/W1974084518"],"abstract_inverted_index":{"This":[0,31],"paper":[1],"introduces":[2],"a":[3,26,43,72,110],"framework":[4,32,130],"for":[5],"the":[6,22,34,39,60,86,98,101,105,124,132,139,153,156],"generation":[7],"of":[8,21,25,42,66,100,104,135,155],"genuine":[9],"connectivity":[10,79],"relations":[11,80],"whose":[12],"equivalent":[13],"classes":[14],"(called":[15],"connected":[16],"components)":[17],"define":[18],"unique":[19],"partitions":[20,118],"definition":[23],"domain":[24],"given":[27,111],"grey":[28],"tone":[29],"image.":[30],"exploits":[33],"total":[35],"ordering":[36],"relation":[37],"between":[38,63],"alpha-connected":[40,48,88,106],"components":[41,89,107],"pixel":[44,145],"(two":[45],"pixels":[46,65],"are":[47,81,119,149],"if":[49],"there":[50],"exists":[51],"at":[52],"least":[53],"one":[54,91],"path":[55,68],"joining":[56],"them":[57],"such":[58,96],"that":[59],"intensity":[61,102],"differences":[62],"successive":[64],"this":[67],"does":[69],"not":[70,108,142],"exceed":[71],"threshold":[73,112,126,157],"value":[74],"equal":[75],"to":[76,115,161],"alpha).":[77],"Genuine":[78],"then":[82],"obtained":[83],"by":[84,121,152],"considering":[85],"largest":[87],"satisfying":[90],"or":[92],"more":[93],"logical":[94],"predicates":[95],"as":[97],"variance":[99],"values":[103,154],"exceeding":[109],"value.":[113],"Fine":[114],"coarse":[116],"hierarchy":[117],"generated":[120],"carefully":[122],"varying":[123],"input":[125],"values.":[127],"The":[128],"proposed":[129],"has":[131],"striking":[133],"property":[134],"uniqueness.":[136],"That":[137],"is,":[138],"results":[140],"do":[141],"depend":[143],"on":[144],"processing":[146],"order":[147],"and":[148],"fully":[150],"defined":[151],"values,":[158],"in":[159],"contrast":[160],"most":[162],"region":[163],"growing":[164],"procedures.":[165]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2021-04-13T00:00:00"}