{"id":"https://openalex.org/W3045976685","doi":"https://doi.org/10.1109/tac.2020.3012630","title":"Angle-Displacement Rigidity Theory With Application to Distributed Network Localization","display_name":"Angle-Displacement Rigidity Theory With Application to Distributed Network Localization","publication_year":2020,"publication_date":"2020-07-28","ids":{"openalex":"https://openalex.org/W3045976685","doi":"https://doi.org/10.1109/tac.2020.3012630","mag":"3045976685"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.3012630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3012630","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2312.11888","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100684648","display_name":"Xu Fang","orcid":"https://orcid.org/0000-0002-0002-6601"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xu Fang","raw_affiliation_strings":["School of Electrical, and Electronic Engineering, Nanyang Technological University, Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-0002-6601","affiliations":[{"raw_affiliation_string":"School of Electrical, and Electronic Engineering, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100366459","display_name":"Xiaolei Li","orcid":"https://orcid.org/0000-0002-5527-6042"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xiaolei Li","raw_affiliation_strings":["School of Electrical, and Electronic Engineering, Nanyang Technological University, Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-5527-6042","affiliations":[{"raw_affiliation_string":"School of Electrical, and Electronic Engineering, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100365448","display_name":"Lihua Xie","orcid":"https://orcid.org/0000-0002-7137-4136"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Lihua Xie","raw_affiliation_strings":["School of Electrical, and Electronic Engineering, Nanyang Technological University, Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-7137-4136","affiliations":[{"raw_affiliation_string":"School of Electrical, and Electronic Engineering, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6423,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.93712411,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"66","issue":"6","first_page":"2574","last_page":"2587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11192","display_name":"Underwater Vehicles and Communication Systems","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.6430134773254395},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5877513289451599},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.5370141267776489},{"id":"https://openalex.org/keywords/reference-frame","display_name":"Reference frame","score":0.48156216740608215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45836716890335083},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4405578672885895},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4121590256690979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37081995606422424},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.3423237204551697},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16210883855819702},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.130304753780365},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10893282294273376},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10129767656326294},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.08221277594566345},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.0753180980682373}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.6430134773254395},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5877513289451599},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.5370141267776489},{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.48156216740608215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45836716890335083},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4405578672885895},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4121590256690979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37081995606422424},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.3423237204551697},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16210883855819702},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.130304753780365},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10893282294273376},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10129767656326294},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.08221277594566345},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0753180980682373},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2020.3012630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3012630","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2312.11888","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2312.11888","pdf_url":"https://arxiv.org/pdf/2312.11888","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":null,"raw_type":"text"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/151758","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/151758","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2312.11888","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2312.11888","pdf_url":"https://arxiv.org/pdf/2312.11888","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6616309162","display_name":null,"funder_award_id":"61903319","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6968088389","display_name":null,"funder_award_id":"61720106011","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3045976685.pdf","grobid_xml":"https://content.openalex.org/works/W3045976685.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1635192251","https://openalex.org/W1993227633","https://openalex.org/W2004830430","https://openalex.org/W2006069853","https://openalex.org/W2104849640","https://openalex.org/W2110720112","https://openalex.org/W2110862165","https://openalex.org/W2118280315","https://openalex.org/W2126828700","https://openalex.org/W2162496869","https://openalex.org/W2163604017","https://openalex.org/W2164144566","https://openalex.org/W2343580824","https://openalex.org/W2515327138","https://openalex.org/W2598532228","https://openalex.org/W2744198636","https://openalex.org/W2753312632","https://openalex.org/W2787958879","https://openalex.org/W2890458517","https://openalex.org/W2914027295","https://openalex.org/W2946194484","https://openalex.org/W2948731388","https://openalex.org/W2963104770","https://openalex.org/W2963196424","https://openalex.org/W2965606593","https://openalex.org/W2970708857","https://openalex.org/W2992178236","https://openalex.org/W2997613240","https://openalex.org/W3044932706","https://openalex.org/W4289549056","https://openalex.org/W6677595038","https://openalex.org/W6754536069","https://openalex.org/W6767033251","https://openalex.org/W6771444925","https://openalex.org/W6772551269","https://openalex.org/W6781490271"],"related_works":["https://openalex.org/W2626846570","https://openalex.org/W2068558458","https://openalex.org/W3204534828","https://openalex.org/W1541799442","https://openalex.org/W2369416114","https://openalex.org/W1974121318","https://openalex.org/W2027078051","https://openalex.org/W3114990795","https://openalex.org/W2067074449","https://openalex.org/W2725884325"],"abstract_inverted_index":{"This":[0],"article":[1,143],"investigates":[2],"the":[3,15,36,60,64,68,108,112,119,146],"localization":[4,100,137],"problem":[5],"of":[6,17,39,67,110,115,141],"a":[7,21,97,116],"network":[8,92,99,117,120,136],"in":[9,20,28,152,164],"2-D":[10,166],"and":[11,24,71,88,133,155,167],"3-D":[12,168],"spaces":[13],"given":[14],"positions":[16,66],"anchor":[18,69],"nodes":[19,41,62,70,114],"global":[22,161],"frame":[23,163],"internode":[25],"relative":[26,73,76,80],"measurements":[27,74],"local":[29,37,72,79],"coordinate":[30,162],"frames.":[31],"It":[32],"is":[33,51,102,121,144],"assumed":[34],"that":[35,145],"frames":[38],"different":[40,43],"have":[42],"unknown":[44,160],"orientations.":[45],"First,":[46],"an":[47,159],"angle-displacement":[48,123],"rigidity":[49],"theory":[50],"developed,":[52],"which":[53,104],"can":[54,105,149],"be":[55,150],"used":[56],"to":[57],"localize":[58],"all":[59,111],"free":[61,113],"by":[63],"known":[65],"(local":[75],"position,":[77],"distance,":[78],"bearing,":[81],"angle,":[82],"or":[83],"ratio-of-distance":[84],"measurements).":[85],"Then,":[86],"necessary":[87],"sufficient":[89],"conditions":[90],"for":[91],"localizability":[93],"are":[94],"given.":[95],"Finally,":[96],"distributed":[98,135],"protocol":[101],"proposed,":[103],"globally":[106],"estimate":[107],"locations":[109],"if":[118],"infinitesimally":[122],"rigid.":[124],"The":[125,139],"proposed":[126,147],"method":[127,148],"unifies":[128],"local-relative-position-based,":[129],"distance-based,":[130],"local-relative-bearing-based,":[131],"angle-based,":[132],"ratio-of-distance-based":[134],"approaches.":[138],"novelty":[140],"this":[142],"applied":[151],"both":[153,165],"generic":[154],"nongeneric":[156],"configurations":[157],"with":[158],"spaces.":[169]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2020-08-03T00:00:00"}