{"id":"https://openalex.org/W2981575975","doi":"https://doi.org/10.3390/ijgi8110469","title":"Calculation for Multidimensional Topological Relations in 3D Cadastre Based on Geometric Algebra","display_name":"Calculation for Multidimensional Topological Relations in 3D Cadastre Based on Geometric Algebra","publication_year":2019,"publication_date":"2019-10-23","ids":{"openalex":"https://openalex.org/W2981575975","doi":"https://doi.org/10.3390/ijgi8110469","mag":"2981575975"},"language":"en","primary_location":{"id":"doi:10.3390/ijgi8110469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/ijgi8110469","pdf_url":"https://www.mdpi.com/2220-9964/8/11/469/pdf?version=1572859139","source":{"id":"https://openalex.org/S2764431341","display_name":"ISPRS International Journal of Geo-Information","issn_l":"2220-9964","issn":["2220-9964"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISPRS International Journal of Geo-Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2220-9964/8/11/469/pdf?version=1572859139","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062001095","display_name":"Zhifeng Shi","orcid":"https://orcid.org/0000-0002-9416-3948"},"institutions":[{"id":"https://openalex.org/I4210115456","display_name":"Chuzhou University","ror":"https://ror.org/037663q52","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115456"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifeng Shi","raw_affiliation_strings":["Anhui Engineering Laboratory of Geo-Information Smart Sensing and Services, Chuzhou 239000, China","Department of Geographic Information Science, Chuzhou University, Chuzhou 239000, China"],"affiliations":[{"raw_affiliation_string":"Anhui Engineering Laboratory of Geo-Information Smart Sensing and Services, Chuzhou 239000, China","institution_ids":[]},{"raw_affiliation_string":"Department of Geographic Information Science, Chuzhou University, Chuzhou 239000, China","institution_ids":["https://openalex.org/I4210115456"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100670611","display_name":"Di Hu","orcid":"https://orcid.org/0000-0002-0582-3108"},"institutions":[{"id":"https://openalex.org/I4210141657","display_name":"Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application","ror":"https://ror.org/045yewh40","country_code":"CN","type":"facility","lineage":["https://openalex.org/I152031979","https://openalex.org/I4210141657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Di Hu","raw_affiliation_strings":["Jiangsu Center of Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing 210023, China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Center of Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing 210023, China","institution_ids":["https://openalex.org/I4210141657"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Pengcheng Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I124841900","display_name":"Xuzhou University of Technology","ror":"https://ror.org/02315by94","country_code":"CN","type":"education","lineage":["https://openalex.org/I124841900"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengcheng Yin","raw_affiliation_strings":["Natural Resources and Planning Bureau of Xuzhou City, Xuzhou 221006, China"],"affiliations":[{"raw_affiliation_string":"Natural Resources and Planning Bureau of Xuzhou City, Xuzhou 221006, China","institution_ids":["https://openalex.org/I124841900"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100367591","display_name":"Chun Wang","orcid":"https://orcid.org/0000-0003-2695-9781"},"institutions":[{"id":"https://openalex.org/I4210115456","display_name":"Chuzhou University","ror":"https://ror.org/037663q52","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115456"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chun Wang","raw_affiliation_strings":["Anhui Engineering Laboratory of Geo-Information Smart Sensing and Services, Chuzhou 239000, China","Department of Geographic Information Science, Chuzhou University, Chuzhou 239000, China"],"affiliations":[{"raw_affiliation_string":"Anhui Engineering Laboratory of Geo-Information Smart Sensing and Services, Chuzhou 239000, China","institution_ids":[]},{"raw_affiliation_string":"Department of Geographic Information Science, Chuzhou University, Chuzhou 239000, China","institution_ids":["https://openalex.org/I4210115456"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089226639","display_name":"Taisheng Chen","orcid":"https://orcid.org/0000-0001-7909-0747"},"institutions":[{"id":"https://openalex.org/I4210115456","display_name":"Chuzhou University","ror":"https://ror.org/037663q52","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115456"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Taisheng Chen","raw_affiliation_strings":["Anhui Engineering Laboratory of Geo-Information Smart Sensing and Services, Chuzhou 239000, China","Department of Geographic Information Science, Chuzhou University, Chuzhou 239000, China"],"affiliations":[{"raw_affiliation_string":"Anhui Engineering Laboratory of Geo-Information Smart Sensing and Services, Chuzhou 239000, China","institution_ids":[]},{"raw_affiliation_string":"Department of Geographic Information Science, Chuzhou University, Chuzhou 239000, China","institution_ids":["https://openalex.org/I4210115456"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075530176","display_name":"Jiyi Zhang","orcid":"https://orcid.org/0000-0002-7391-1329"},"institutions":[{"id":"https://openalex.org/I4210115456","display_name":"Chuzhou University","ror":"https://ror.org/037663q52","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115456"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiyi Zhang","raw_affiliation_strings":["Anhui Engineering Laboratory of Geo-Information Smart Sensing and Services, Chuzhou 239000, China","Department of Geographic Information Science, Chuzhou University, Chuzhou 239000, China"],"affiliations":[{"raw_affiliation_string":"Anhui Engineering Laboratory of Geo-Information Smart Sensing and Services, Chuzhou 239000, China","institution_ids":[]},{"raw_affiliation_string":"Department of Geographic Information Science, Chuzhou University, Chuzhou 239000, China","institution_ids":["https://openalex.org/I4210115456"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5075530176"],"corresponding_institution_ids":["https://openalex.org/I4210115456"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.488,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69194102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"11","first_page":"469","last_page":"469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12698","display_name":"3D Modeling in Geospatial Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12698","display_name":"3D Modeling in Geospatial Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13067","display_name":"Geological Modeling and Analysis","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/cadastre","display_name":"Cadastre","score":0.9356026649475098},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6101635694503784},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.578791618347168},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5212615132331848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4403515160083771},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38280096650123596},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.25862592458724976},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18853425979614258},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.09133735299110413},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08397454023361206}],"concepts":[{"id":"https://openalex.org/C134207755","wikidata":"https://www.wikidata.org/wiki/Q191072","display_name":"Cadastre","level":2,"score":0.9356026649475098},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6101635694503784},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.578791618347168},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5212615132331848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4403515160083771},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38280096650123596},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.25862592458724976},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18853425979614258},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.09133735299110413},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08397454023361206},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/ijgi8110469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/ijgi8110469","pdf_url":"https://www.mdpi.com/2220-9964/8/11/469/pdf?version=1572859139","source":{"id":"https://openalex.org/S2764431341","display_name":"ISPRS International Journal of Geo-Information","issn_l":"2220-9964","issn":["2220-9964"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISPRS International Journal of Geo-Information","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:520d2157703c4214880fdc4bd8c5c50a","is_oa":true,"landing_page_url":"https://doaj.org/article/520d2157703c4214880fdc4bd8c5c50a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISPRS International Journal of Geo-Information, Vol 8, Iss 11, p 469 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2220-9964/8/11/469/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/ijgi8110469","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISPRS International Journal of Geo-Information","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/ijgi8110469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/ijgi8110469","pdf_url":"https://www.mdpi.com/2220-9964/8/11/469/pdf?version=1572859139","source":{"id":"https://openalex.org/S2764431341","display_name":"ISPRS International Journal of Geo-Information","issn_l":"2220-9964","issn":["2220-9964"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISPRS International Journal of Geo-Information","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2071443865","display_name":null,"funder_award_id":"201805","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2083501088","display_name":null,"funder_award_id":"41571398","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2312846219","display_name":null,"funder_award_id":"41771421","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3085993365","display_name":null,"funder_award_id":"(Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G680645852","display_name":null,"funder_award_id":"2018055","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8206325587","display_name":null,"funder_award_id":"41571439","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320334925","display_name":"Science and Technology Support Program of Jiangsu Province","ror":"https://ror.org/02mkqta53"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2981575975.pdf","grobid_xml":"https://content.openalex.org/works/W2981575975.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W95165335","https://openalex.org/W138501258","https://openalex.org/W631193014","https://openalex.org/W1246572632","https://openalex.org/W1481249923","https://openalex.org/W1482404553","https://openalex.org/W1497525059","https://openalex.org/W1526803700","https://openalex.org/W1844476468","https://openalex.org/W1978706250","https://openalex.org/W1990481324","https://openalex.org/W1997862802","https://openalex.org/W2010802967","https://openalex.org/W2011598290","https://openalex.org/W2011819244","https://openalex.org/W2035113918","https://openalex.org/W2042122137","https://openalex.org/W2052895636","https://openalex.org/W2055184781","https://openalex.org/W2074774841","https://openalex.org/W2075336203","https://openalex.org/W2088722834","https://openalex.org/W2106983874","https://openalex.org/W2116075278","https://openalex.org/W2125361322","https://openalex.org/W2157927657","https://openalex.org/W2162670506","https://openalex.org/W2165601596","https://openalex.org/W2192940206","https://openalex.org/W2194839792","https://openalex.org/W2258611702","https://openalex.org/W2284989007","https://openalex.org/W2341795887","https://openalex.org/W2350821054","https://openalex.org/W2377918434","https://openalex.org/W2470019652","https://openalex.org/W2724967742","https://openalex.org/W2745120507","https://openalex.org/W2755586116","https://openalex.org/W2770451886","https://openalex.org/W2782533381","https://openalex.org/W2905431311","https://openalex.org/W4385159580","https://openalex.org/W6628696304","https://openalex.org/W7047848978"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2361566382","https://openalex.org/W1562347873","https://openalex.org/W4247263692","https://openalex.org/W1899898439","https://openalex.org/W2051591117","https://openalex.org/W4248721403","https://openalex.org/W125192551","https://openalex.org/W3106323631","https://openalex.org/W3151822016"],"abstract_inverted_index":{"Maintaining":[0],"topological":[1,36,46,72,76,87,109,144,153,175,189,223],"consistency":[2],"is":[3,60,125,167],"a":[4,23,156,160,164,178,182,192,196],"crucial":[5],"issue":[6],"for":[7,89,141],"3D":[8,25,63,66,108,142],"cadastral":[9,17,26,67,90,113,143,165,183,197],"modeling":[10],"as":[11],"this":[12,147],"helps":[13],"to":[14,41,106,134,218],"represent":[15,53],"the":[16,33,112,128,131,136,205],"boundary":[18,157,161,179,193],"clearly":[19],"and":[20,78,86,95,163,181,185,195,213],"accurately.":[21],"As":[22,57],"result,":[24],"data":[27,68],"models":[28,37,47,69,73,224],"are":[29,199],"mainly":[30],"built":[31],"on":[32,71,127],"basis":[34,129],"of":[35,130,138,152,171,174,188,207],"that":[38,84,204],"allow":[39],"topology":[40],"be":[42,93,216],"expressed":[43],"clearly.":[44],"However,":[45],"in":[48,62,111,118,146,209,225],"Euclidean":[49,226],"space":[50],"cannot":[51,74],"directly":[52],"objects\u2019":[54],"geometric":[55,58,85,99,119],"information.":[56],"information":[59,88],"important":[61],"spatial":[64],"analysis,":[65],"based":[70],"realize":[75,107],"calculation":[77,123,150,214],"analysis.":[79],"Previous":[80],"research":[81],"has":[82],"proved":[83],"objects":[91],"can":[92,215],"integrated":[94],"represented":[96],"by":[97,222],"conformal":[98],"algebra":[100],"(CGA)":[101],"expressions.":[102],"This":[103],"paper":[104],"aims":[105],"analysis":[110,145],"field":[114],"using":[115],"CGA\u2019s":[116],"advantages":[117,206],"relations":[120,154,176,190],"computation.":[121],"A":[122,149,169],"framework":[124,151],"designed":[126],"outer":[132],"product":[133],"achieve":[135],"purpose":[137],"multidimensional":[139,210],"unity":[140],"paper.":[148],"between":[155,177,191],"point":[158,180],"(or":[159],"line)":[162],"parcel":[166,184,198],"developed.":[168],"total":[170],"13":[172],"types":[173,187],"48":[186],"line":[194],"obtained.":[200],"The":[201],"study":[202],"indicates":[203],"CGA":[208],"unified":[211],"representation":[212],"used":[217],"solve":[219],"problems":[220],"encountered":[221],"space.":[227]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
