{"id":"https://openalex.org/W4408070677","doi":"https://doi.org/10.1007/s10707-025-00534-2","title":"Modeling directional uncertainties in 2D spaces","display_name":"Modeling directional uncertainties in 2D spaces","publication_year":2025,"publication_date":"2025-03-01","ids":{"openalex":"https://openalex.org/W4408070677","doi":"https://doi.org/10.1007/s10707-025-00534-2"},"language":"en","primary_location":{"id":"doi:10.1007/s10707-025-00534-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10707-025-00534-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10707-025-00534-2.pdf","source":{"id":"https://openalex.org/S4210168194","display_name":"GeoInformatica","issn_l":"1384-6175","issn":["1384-6175","1573-7624"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"GeoInformatica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10707-025-00534-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048637476","display_name":"Zhengyuan Mao","orcid":"https://orcid.org/0000-0002-4388-5270"},"institutions":[{"id":"https://openalex.org/I354108","display_name":"Minjiang University","ror":"https://ror.org/00s7tkw17","country_code":"CN","type":"education","lineage":["https://openalex.org/I354108"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhengyuan Mao","raw_affiliation_strings":["Key Lab of Spatial Data Mining & Information Sharing of Ministry of Education, Fuzhou, 350108, Fujian, China","The Academy of Digital China, Fuzhou University, 2 North Wulongjiang Avenue, Fuzhou, 350108, Fujian, China"],"raw_orcid":"https://orcid.org/0000-0002-4388-5270","affiliations":[{"raw_affiliation_string":"Key Lab of Spatial Data Mining & Information Sharing of Ministry of Education, Fuzhou, 350108, Fujian, China","institution_ids":["https://openalex.org/I354108"]},{"raw_affiliation_string":"The Academy of Digital China, Fuzhou University, 2 North Wulongjiang Avenue, Fuzhou, 350108, Fujian, China","institution_ids":["https://openalex.org/I354108"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048637476"],"corresponding_institution_ids":["https://openalex.org/I354108"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":{"value":3190,"currency":"USD","value_usd":3190},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03416537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"3","first_page":"547","last_page":"580"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9858999848365784,"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":0.9729999899864197,"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/geography","display_name":"Geography","score":0.56410151720047},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.44251981377601624},{"id":"https://openalex.org/keywords/remote-sensing","display_name":"Remote sensing","score":0.4144340455532074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3923295736312866}],"concepts":[{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.56410151720047},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.44251981377601624},{"id":"https://openalex.org/C62649853","wikidata":"https://www.wikidata.org/wiki/Q199687","display_name":"Remote sensing","level":1,"score":0.4144340455532074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3923295736312866}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10707-025-00534-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10707-025-00534-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10707-025-00534-2.pdf","source":{"id":"https://openalex.org/S4210168194","display_name":"GeoInformatica","issn_l":"1384-6175","issn":["1384-6175","1573-7624"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"GeoInformatica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10707-025-00534-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10707-025-00534-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10707-025-00534-2.pdf","source":{"id":"https://openalex.org/S4210168194","display_name":"GeoInformatica","issn_l":"1384-6175","issn":["1384-6175","1573-7624"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"GeoInformatica","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408070677.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1483417608","https://openalex.org/W1535106372","https://openalex.org/W1619787994","https://openalex.org/W1751031993","https://openalex.org/W1964695545","https://openalex.org/W1976856655","https://openalex.org/W1978517559","https://openalex.org/W1978757558","https://openalex.org/W1984729066","https://openalex.org/W1996931690","https://openalex.org/W1999806977","https://openalex.org/W2003357237","https://openalex.org/W2016627289","https://openalex.org/W2022178031","https://openalex.org/W2036583159","https://openalex.org/W2048892526","https://openalex.org/W2062672310","https://openalex.org/W2063172958","https://openalex.org/W2064506658","https://openalex.org/W2133039566","https://openalex.org/W2143022286","https://openalex.org/W2148228392","https://openalex.org/W2160852876","https://openalex.org/W2524280308","https://openalex.org/W2548303315","https://openalex.org/W2722642956","https://openalex.org/W3008126918","https://openalex.org/W3096230591","https://openalex.org/W3110486140","https://openalex.org/W3185351073","https://openalex.org/W3201423827","https://openalex.org/W4300609890"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2308616044","https://openalex.org/W1482410789"],"abstract_inverted_index":{"As":[0],"an":[1,58,62,91],"indispensible":[2],"component":[3],"in":[4,24,34,74,182],"understanding":[5],"spatial":[6,169],"processes,":[7],"direction":[8],"has":[9,197],"been":[10,199],"concerned":[11],"by":[12],"researchers":[13],"of":[14,31,80,90,119,127,131],"related":[15,166],"disciplines":[16],"for":[17,153,165],"a":[18,162],"long":[19],"time.":[20],"Challenges":[21],"still":[22],"remain":[23],"modeling":[25],"directional":[26,55,121],"uncertainties":[27],"due":[28],"to":[29,86,106],"randomness":[30],"positional":[32],"information":[33],"the":[35,54,78,82,87,99,104,117,120,128,132,154,179,190],"input":[36],"data.":[37],"By":[38],"formulating":[39],"involving":[40],"cumulative":[41],"distribution":[42,97],"functions":[43,49],"(CDFs)":[44],"and":[45,61,145,172],"corresponding":[46,85,191],"probability":[47],"density":[48],"(PDFs),":[50],"this":[51,183],"paper":[52],"modeled":[53],"uncertainty":[56,122],"between":[57,69],"accurate":[59],"point":[60,93],"uncertain":[63,71,92,133,143],"one":[64,89,140],"as":[65,67],"well":[66],"that":[68,81,178],"two":[70,142],"points":[72],"respectively":[73],"2D":[75],"spaces":[76],"on":[77],"condition":[79],"real":[83],"position":[84],"observed":[88,137],"follows":[94],"either":[95],"Poisson":[96],"or":[98,141],"kernel":[100],"function":[101],"decreasing":[102],"from":[103],"center":[105],"periphery":[107],"within":[108],"its":[109],"error":[110,129],"circle.":[111],"The":[112],"established":[113],"models":[114],"accurately":[115],"quantify":[116],"correlation":[118],"with":[123,201],"r":[124,149],"(the":[125,136],"radius":[126],"circle":[130],"point),":[134],"L":[135,151],"distance":[138],"containing":[139],"points),":[144],"their":[146],"ratio":[147],"(":[148],"/":[150],")":[152],"four":[155],"different":[156],"situations":[157],"respectively,":[158],"which":[159],"opens":[160],"up":[161],"new":[163],"way":[164],"studies":[167],"including":[168],"query,":[170],"analysis":[171],"reasoning,":[173],"etc.":[174],"Experimental":[175],"results":[176],"indicate":[177],"proposed":[180],"methods":[181],"article":[184],"are":[185],"more":[186],"efficient,":[187],"robust":[188],"than":[189],"Monte":[192],"Carlo":[193],"simulation.":[194],"Their":[195],"effectiveness":[196],"also":[198],"demonstrated":[200],"practical":[202],"cases.":[203]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
