{"id":"https://openalex.org/W2157927657","doi":"https://doi.org/10.1145/1653771.1653796","title":"Topological relations from metric refinements","display_name":"Topological relations from metric refinements","publication_year":2009,"publication_date":"2009-11-04","ids":{"openalex":"https://openalex.org/W2157927657","doi":"https://doi.org/10.1145/1653771.1653796","mag":"2157927657"},"language":"en","primary_location":{"id":"doi:10.1145/1653771.1653796","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1653771.1653796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems","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/A5068705609","display_name":"Max J. Egenhofer","orcid":null},"institutions":[{"id":"https://openalex.org/I7947594","display_name":"University of Maine","ror":"https://ror.org/01adr0w49","country_code":"US","type":"education","lineage":["https://openalex.org/I2802397601","https://openalex.org/I7947594"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Max J. Egenhofer","raw_affiliation_strings":["University of Maine, Orono, ME"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maine, Orono, ME","institution_ids":["https://openalex.org/I7947594"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004866624","display_name":"Matthew P. Dube","orcid":"https://orcid.org/0000-0002-7104-9982"},"institutions":[{"id":"https://openalex.org/I7947594","display_name":"University of Maine","ror":"https://ror.org/01adr0w49","country_code":"US","type":"education","lineage":["https://openalex.org/I2802397601","https://openalex.org/I7947594"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew P. Dube","raw_affiliation_strings":["University of Maine, Orono, ME"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maine, Orono, ME","institution_ids":["https://openalex.org/I7947594"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I7947594"],"apc_list":null,"apc_paid":null,"fwci":2.1624,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.89375723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"158","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10757","display_name":"Geographic Information Systems Studies","score":0.9782000184059143,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.7437700033187866},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6070254445075989},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5817461013793945},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5215675234794617},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5080406665802002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4841638207435608},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.46414318680763245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4237642288208008},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28473758697509766},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14709416031837463},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.116280198097229},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.09726053476333618},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06542646884918213}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7437700033187866},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6070254445075989},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5817461013793945},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5215675234794617},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5080406665802002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4841638207435608},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.46414318680763245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4237642288208008},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28473758697509766},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14709416031837463},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.116280198097229},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09726053476333618},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06542646884918213},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1653771.1653796","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1653771.1653796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3262162624","display_name":null,"funder_award_id":"NMA201-01-1-2003","funder_id":"https://openalex.org/F4320332165","funder_display_name":"National Geospatial-Intelligence Agency"},{"id":"https://openalex.org/G3533430242","display_name":null,"funder_award_id":"DGE-0504494","funder_id":"https://openalex.org/F4320337368","funder_display_name":"Division of Graduate Education"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332165","display_name":"National Geospatial-Intelligence Agency","ror":"https://ror.org/02k4pxv54"},{"id":"https://openalex.org/F4320337368","display_name":"Division of Graduate Education","ror":"https://ror.org/00whkrf32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W852874","https://openalex.org/W9349018","https://openalex.org/W24399478","https://openalex.org/W611848211","https://openalex.org/W1482327797","https://openalex.org/W1483417608","https://openalex.org/W1493960433","https://openalex.org/W1530698827","https://openalex.org/W1844476468","https://openalex.org/W1976845418","https://openalex.org/W2014590262","https://openalex.org/W2015428026","https://openalex.org/W2035846044","https://openalex.org/W2037189684","https://openalex.org/W2051927385","https://openalex.org/W2078019102","https://openalex.org/W2089868779","https://openalex.org/W2121150690","https://openalex.org/W2122136744","https://openalex.org/W2133039566","https://openalex.org/W2164547007","https://openalex.org/W2561675875","https://openalex.org/W3030172211","https://openalex.org/W3099669262","https://openalex.org/W4210434448","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4234874385","https://openalex.org/W2323648130","https://openalex.org/W2157140558","https://openalex.org/W2378782423","https://openalex.org/W2348909947","https://openalex.org/W4292672442","https://openalex.org/W2362101859","https://openalex.org/W2941610985","https://openalex.org/W2352454782","https://openalex.org/W4297851895"],"abstract_inverted_index":{"Naive":[0],"Geography's":[1],"premise":[2],"\"Topology":[3],"matters,":[4],"metric":[5,9,31,60,89,113],"refines\"":[6],"calls":[7],"for":[8,14,58],"properties":[10],"that":[11,33,44,65,101],"provide":[12],"opportunities":[13],"finergrained":[15],"distinctions":[16],"than":[17],"the":[18,36,45,48,54,77,111],"purely":[19],"qualitative":[20],"topological":[21,39,67],"relations.":[22],"This":[23],"paper":[24],"defines":[25],"a":[26],"comprehensive":[27],"set":[28,97],"of":[29,79,88,98,110],"eleven":[30,112],"refinements":[32,90],"apply":[34],"to":[35,108],"eight":[37,105],"coarse":[38],"relations":[40,106],"between":[41,69],"two":[42,70],"regions":[43,71],"9-intersection":[46],"and":[47,52,91],"Region-Connection":[49],"Calculus":[50],"identify":[51],"develops":[53],"applicable":[55,92],"value":[56,93],"ranges":[57],"each":[59],"refinement.":[61],"It":[62],"is":[63],"shown":[64],"any":[66],"relation":[68],"can":[72],"be":[73],"derived":[74],"uniquely":[75,103],"from":[76],"conjunction":[78],"at":[80],"most":[81],"three":[82],"such":[83],"refinement":[84,99],"specifications":[85,100],"(i.e.,":[86],"pairs":[87],"ranges).":[94],"The":[95],"smallest":[96],"determine":[102],"all":[104],"resorts":[107],"six":[109],"refinements.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
