{"id":"https://openalex.org/W2169776837","doi":"https://doi.org/10.1007/s00165-011-0182-7","title":"The data type of spatial objects","display_name":"The data type of spatial objects","publication_year":2011,"publication_date":"2011-07-18","ids":{"openalex":"https://openalex.org/W2169776837","doi":"https://doi.org/10.1007/s00165-011-0182-7","mag":"2169776837"},"language":"en","primary_location":{"id":"doi:10.1007/s00165-011-0182-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00165-011-0182-7","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/s00165-011-0182-7","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"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":"Formal Aspects of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1007/s00165-011-0182-7","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031145902","display_name":"Kenneth Johnson","orcid":"https://orcid.org/0000-0002-9116-7185"},"institutions":[{"id":"https://openalex.org/I169199633","display_name":"Aston University","ror":"https://ror.org/05j0ve876","country_code":"GB","type":"education","lineage":["https://openalex.org/I169199633"]},{"id":"https://openalex.org/I4210133778","display_name":"Inria Rennes - Bretagne Atlantique Research Centre","ror":"https://ror.org/04040yw90","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210133778"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR","GB"],"is_corresponding":true,"raw_author_name":"Kenneth Johnson","raw_affiliation_strings":["Aston University, Aston Triangle, B4 7ET, Birmingham, UK","INRIA Rennes-Bretagne Atlantique, Campus Universitaire de Beaulieu, 35042, Rennes, France","INRIA Rennes-Bretagne Atlantique, Campus Universitaire de Beaulieu, 35042, Rennes, France Aston University, Aston Triangle, B4 7ET, Birmingham, UK"],"affiliations":[{"raw_affiliation_string":"Aston University, Aston Triangle, B4 7ET, Birmingham, UK","institution_ids":["https://openalex.org/I169199633"]},{"raw_affiliation_string":"INRIA Rennes-Bretagne Atlantique, Campus Universitaire de Beaulieu, 35042, Rennes, France","institution_ids":["https://openalex.org/I4210133778"]},{"raw_affiliation_string":"INRIA Rennes-Bretagne Atlantique, Campus Universitaire de Beaulieu, 35042, Rennes, France Aston University, Aston Triangle, B4 7ET, Birmingham, UK","institution_ids":["https://openalex.org/I4210133778","https://openalex.org/I169199633","https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103271292","display_name":"John V. Tucker","orcid":"https://orcid.org/0000-0003-4689-8760"},"institutions":[{"id":"https://openalex.org/I39586589","display_name":"Swansea University","ror":"https://ror.org/053fq8t95","country_code":"GB","type":"education","lineage":["https://openalex.org/I39586589"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John V. Tucker","raw_affiliation_strings":["Department of Computer Science, Swansea University, Singleton Park, SA2 8PP, Swansea, Wales, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Swansea University, Singleton Park, SA2 8PP, Swansea, Wales, UK","institution_ids":["https://openalex.org/I39586589"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031145902"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I169199633","https://openalex.org/I4210133778"],"apc_list":null,"apc_paid":null,"fwci":0.6125,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.69652006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"2","first_page":"189","last_page":"218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9983000159263611,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.998199999332428,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6023615598678589},{"id":"https://openalex.org/keywords/spatial-analysis","display_name":"Spatial analysis","score":0.5756460428237915},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5621849298477173},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5357033610343933},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.5268586874008179},{"id":"https://openalex.org/keywords/abstract-data-type","display_name":"Abstract data type","score":0.5183785557746887},{"id":"https://openalex.org/keywords/data-type","display_name":"Data type","score":0.5062333941459656},{"id":"https://openalex.org/keywords/spatial-intelligence","display_name":"Spatial intelligence","score":0.5027675628662109},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4927718937397003},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.45834752917289734},{"id":"https://openalex.org/keywords/object-based-spatial-database","display_name":"Object-based spatial database","score":0.451389342546463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36676138639450073},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3363306522369385},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32777655124664307},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2727910578250885},{"id":"https://openalex.org/keywords/spatial-database","display_name":"Spatial database","score":0.2676087021827698},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24824577569961548},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.16362544894218445},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12822464108467102}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6023615598678589},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.5756460428237915},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5621849298477173},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5357033610343933},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.5268586874008179},{"id":"https://openalex.org/C175971053","wikidata":"https://www.wikidata.org/wiki/Q827335","display_name":"Abstract data type","level":2,"score":0.5183785557746887},{"id":"https://openalex.org/C138958017","wikidata":"https://www.wikidata.org/wiki/Q190087","display_name":"Data type","level":2,"score":0.5062333941459656},{"id":"https://openalex.org/C155911833","wikidata":"https://www.wikidata.org/wiki/Q3817354","display_name":"Spatial intelligence","level":2,"score":0.5027675628662109},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4927718937397003},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.45834752917289734},{"id":"https://openalex.org/C153938966","wikidata":"https://www.wikidata.org/wiki/Q3348148","display_name":"Object-based spatial database","level":4,"score":0.451389342546463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36676138639450073},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3363306522369385},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32777655124664307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2727910578250885},{"id":"https://openalex.org/C203689450","wikidata":"https://www.wikidata.org/wiki/Q2302053","display_name":"Spatial database","level":3,"score":0.2676087021827698},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24824577569961548},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.16362544894218445},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12822464108467102},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00165-011-0182-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00165-011-0182-7","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/s00165-011-0182-7","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"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":"Formal Aspects of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00165-011-0182-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00165-011-0182-7","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/s00165-011-0182-7","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"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":"Formal Aspects of Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2169776837.pdf","grobid_xml":"https://content.openalex.org/works/W2169776837.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1501353981","https://openalex.org/W1503860275","https://openalex.org/W1538891457","https://openalex.org/W1576733362","https://openalex.org/W1586644633","https://openalex.org/W1588674955","https://openalex.org/W1861436941","https://openalex.org/W1972817710","https://openalex.org/W1975427082","https://openalex.org/W1997057955","https://openalex.org/W2002713832","https://openalex.org/W2004119073","https://openalex.org/W2007839801","https://openalex.org/W2007898361","https://openalex.org/W2012874740","https://openalex.org/W2046566580","https://openalex.org/W2056512656","https://openalex.org/W2058108130","https://openalex.org/W2075273870","https://openalex.org/W2080514393","https://openalex.org/W2094438648","https://openalex.org/W2097967318","https://openalex.org/W2098671236","https://openalex.org/W2100185791","https://openalex.org/W2114361208","https://openalex.org/W2116165536","https://openalex.org/W2119231080","https://openalex.org/W2142777169","https://openalex.org/W2165976864","https://openalex.org/W2176308528","https://openalex.org/W2284239051","https://openalex.org/W2313299119","https://openalex.org/W2577445546","https://openalex.org/W2614288973","https://openalex.org/W2801179766","https://openalex.org/W2911094304","https://openalex.org/W2913418092","https://openalex.org/W2914762105","https://openalex.org/W3034954823","https://openalex.org/W3127823229","https://openalex.org/W3202069268","https://openalex.org/W3212984883","https://openalex.org/W4213165878","https://openalex.org/W4240430789","https://openalex.org/W4240998965","https://openalex.org/W4300223101","https://openalex.org/W4388310106","https://openalex.org/W4388310169","https://openalex.org/W6695621245"],"related_works":["https://openalex.org/W1718424146","https://openalex.org/W1996169556","https://openalex.org/W4213129642","https://openalex.org/W624617926","https://openalex.org/W4255297603","https://openalex.org/W4237938900","https://openalex.org/W2051792318","https://openalex.org/W4239656342","https://openalex.org/W2093762890","https://openalex.org/W1518516481"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"spatial":[2,36,44,82,103,111,130],"object":[3],"consists":[4],"of":[5,35,43,49,56,100],"data":[6,41],"assigned":[7],"to":[8,113,129],"points":[9],"in":[10,28],"a":[11,32,94,98],"space.":[12],"Spatial":[13],"objects,":[14,104],"such":[15],"as":[16,46,77],"memory":[17],"states":[18],"and":[19,26,66,68,84,125],"three":[20],"dimensional":[21],"graphical":[22],"scenes,":[23],"are":[24,75,88],"diverse":[25],"ubiquitous":[27],"computing.":[29],"We":[30,92,116],"develop":[31],"general":[33,119],"theory":[34],"objects":[37,45,83,112,131],"by":[38],"modelling":[39],"abstract":[40,78],"types":[42],"topological":[47],"algebras":[48],"functions.":[50],"One":[51],"useful":[52],"algebra":[53],"is":[54],"that":[55],"continuous":[57],"functions,":[58],"with":[59,70,132],"operations":[60,63,101],"derived":[61],"from":[62],"on":[64,102],"space":[65],"data,":[67],"equipped":[69],"the":[71,106,110,123],"compact-open":[72],"topology.":[73],"Terms":[74],"used":[76,89],"syntax":[79],"for":[80,90,121],"defining":[81],"conditional":[85],"equational":[86],"specifications":[87],"reasoning.":[91],"pose":[93],"completeness":[95],"problem:":[96],"Given":[97],"selection":[99],"do":[105],"terms":[107],"approximate":[108],"all":[109],"arbitrary":[114],"accuracy?":[115],"give":[117],"some":[118],"methods":[120],"solving":[122],"problem":[124],"consider":[126],"their":[127],"application":[128],"real":[133],"number":[134],"attributes.":[135]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}