{"id":"https://openalex.org/W3019257800","doi":"https://doi.org/10.1080/13658816.2020.1753203","title":"A multi-scale representation model of polyline based on head/tail breaks","display_name":"A multi-scale representation model of polyline based on head/tail breaks","publication_year":2020,"publication_date":"2020-04-22","ids":{"openalex":"https://openalex.org/W3019257800","doi":"https://doi.org/10.1080/13658816.2020.1753203","mag":"3019257800"},"language":"en","primary_location":{"id":"doi:10.1080/13658816.2020.1753203","is_oa":false,"landing_page_url":"https://doi.org/10.1080/13658816.2020.1753203","pdf_url":null,"source":{"id":"https://openalex.org/S4210181446","display_name":"International Journal of Geographical Information Systems","issn_l":"0269-3798","issn":["0269-3798","1362-3087"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Geographical Information Science","raw_type":"journal-article"},"type":"article","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/A5100449822","display_name":"Pengcheng Liu","orcid":"https://orcid.org/0000-0002-0874-1538"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengcheng Liu","raw_affiliation_strings":["Central China Normal University","College of Urban and Environmental Sciences, Central China Normal University, Wuhan, China","Key Laboratory for Geographical Process Analysis and Simulation, Central China Normal University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-0874-1538","affiliations":[{"raw_affiliation_string":"Central China Normal University","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"College of Urban and Environmental Sciences, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"Key Laboratory for Geographical Process Analysis and Simulation, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032311913","display_name":"Tianyuan Xiao","orcid":"https://orcid.org/0000-0001-6337-4649"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyuan Xiao","raw_affiliation_strings":["Central China Normal University","Key Laboratory for Geographical Process Analysis and Simulation, Central China Normal University, Wuhan, China","College of Urban and Environmental Sciences, Central China Normal University, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Central China Normal University","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"Key Laboratory for Geographical Process Analysis and Simulation, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"College of Urban and Environmental Sciences, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005782760","display_name":"Jia Xiao","orcid":"https://orcid.org/0000-0001-8351-1524"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jia Xiao","raw_affiliation_strings":["Central China Normal University","College of Urban and Environmental Sciences, Central China Normal University, Wuhan, China","Key Laboratory for Geographical Process Analysis and Simulation, Central China Normal University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-8351-1524","affiliations":[{"raw_affiliation_string":"Central China Normal University","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"College of Urban and Environmental Sciences, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"Key Laboratory for Geographical Process Analysis and Simulation, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029956180","display_name":"Tinghua Ai","orcid":"https://orcid.org/0000-0002-6581-9872"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tinghua Ai","raw_affiliation_strings":["Wuhan University","School of Resource and Environment Sciences, Wuhan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-6581-9872","affiliations":[{"raw_affiliation_string":"Wuhan University","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Resource and Environment Sciences, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005782760"],"corresponding_institution_ids":["https://openalex.org/I40963666"],"apc_list":null,"apc_paid":null,"fwci":1.2496,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.79441002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"11","first_page":"2275","last_page":"2295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9832000136375427,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9832000136375427,"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/T10799","display_name":"Data Visualization and Analytics","score":0.9779999852180481,"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/representation","display_name":"Representation (politics)","score":0.81059730052948},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.6707525849342346},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.663526713848114},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.6417251825332642},{"id":"https://openalex.org/keywords/head","display_name":"Head (geology)","score":0.5063236951828003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47342899441719055},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47282087802886963},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.42088571190834045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3575085997581482},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18778052926063538},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.10470294952392578},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.0669035017490387},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.054594188928604126}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.81059730052948},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.6707525849342346},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.663526713848114},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6417251825332642},{"id":"https://openalex.org/C2780312720","wikidata":"https://www.wikidata.org/wiki/Q5689100","display_name":"Head (geology)","level":2,"score":0.5063236951828003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47342899441719055},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47282087802886963},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.42088571190834045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3575085997581482},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18778052926063538},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.10470294952392578},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0669035017490387},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.054594188928604126},{"id":"https://openalex.org/C114793014","wikidata":"https://www.wikidata.org/wiki/Q52109","display_name":"Geomorphology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/13658816.2020.1753203","is_oa":false,"landing_page_url":"https://doi.org/10.1080/13658816.2020.1753203","pdf_url":null,"source":{"id":"https://openalex.org/S4210181446","display_name":"International Journal of Geographical Information Systems","issn_l":"0269-3798","issn":["0269-3798","1362-3087"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Geographical Information Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7900000214576721}],"awards":[{"id":"https://openalex.org/G4403639087","display_name":null,"funder_award_id":"41531180","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1588575722","https://openalex.org/W1755795713","https://openalex.org/W1780953071","https://openalex.org/W1969324628","https://openalex.org/W1981934656","https://openalex.org/W1988849643","https://openalex.org/W1995585447","https://openalex.org/W1995875735","https://openalex.org/W2005719654","https://openalex.org/W2028816760","https://openalex.org/W2043093006","https://openalex.org/W2045561454","https://openalex.org/W2062280721","https://openalex.org/W2065639018","https://openalex.org/W2118722179","https://openalex.org/W2122827492","https://openalex.org/W2138613327","https://openalex.org/W2172263315","https://openalex.org/W2220997360","https://openalex.org/W2286975157","https://openalex.org/W2515526268","https://openalex.org/W2593580024","https://openalex.org/W3103258700","https://openalex.org/W3105655570","https://openalex.org/W4251696430"],"related_works":["https://openalex.org/W2094684004","https://openalex.org/W4224306892","https://openalex.org/W1574935133","https://openalex.org/W31830636","https://openalex.org/W2370547058","https://openalex.org/W1984031140","https://openalex.org/W6842695","https://openalex.org/W2320412982","https://openalex.org/W2094657987","https://openalex.org/W2122827492"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,11,24],"model":[4,113,142],"to":[5,47,72,85,112,131],"quantify":[6],"the":[7,34,40,49,61,75,86,105,119,133,140],"multiscale":[8,114,149],"representation":[9,116],"of":[10,29,39,60,89,121],"polyline":[12,19,50,115,150],"based":[13],"on":[14],"iterative":[15],"head/tail":[16,68,102],"breaks.":[17,103],"A":[18],"is":[20,65,108,143],"first":[21],"transformed":[22],"into":[23,79],"corresponding":[25],"Fourier":[26,41,52,77],"descriptor":[27,42,78],"consisting":[28],"normalized":[30],"Fourier-series-expansion":[31],"coefficients.":[32],"Then,":[33],"most":[35],"significant":[36],"finite":[37],"components":[38,64,83],"are":[43,70,95,127],"selected":[44],"and":[45,81,110,129,145],"ranked":[46],"constitute":[48],"constrained":[51,62,76],"descriptor.":[53],"Using":[54],"Shannon\u2019s":[55],"information":[56,58,90],"theory,":[57],"content":[59],"Fourier-descriptor":[63],"defined.":[66],"Next,":[67],"breaks":[69],"introduced":[71,109],"iteratively":[73],"divide":[74],"head":[80],"tail":[82],"according":[84],"heavy-tailed":[87],"distribution":[88],"contents.":[91],"Thus,":[92],"simplified":[93,123],"polylines":[94],"reconstructed":[96],"using":[97],"ordered":[98],"heads":[99],"generated":[100],"from":[101],"Finally,":[104],"radical":[106],"law":[107],"applied":[111],"by":[117],"quantifying":[118,148],"scale":[120],"each":[122],"polyline.":[124],"Three":[125],"experiments":[126],"designed":[128],"conducted":[130],"evaluate":[132],"proposed":[134,141],"model.":[135],"The":[136],"results":[137],"demonstrate":[138],"that":[139],"valid":[144],"efficient":[146],"for":[147],"representation.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
