{"id":"https://openalex.org/W2046095370","doi":"https://doi.org/10.1109/geoinformatics.2010.5568048","title":"A new analytical solution of nonlinear geodetic datum transformation","display_name":"A new analytical solution of nonlinear geodetic datum transformation","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2046095370","doi":"https://doi.org/10.1109/geoinformatics.2010.5568048","mag":"2046095370"},"language":"en","primary_location":{"id":"doi:10.1109/geoinformatics.2010.5568048","doi":"https://doi.org/10.1109/geoinformatics.2010.5568048","is_oa":false,"landing_page_url":"https://doi.org/10.1109/geoinformatics.2010.5568048","pdf_url":null,"source":{"id":"https://openalex.org/S4306419483","display_name":"International Conference on Geoinformatics","issn_l":"2161-024X","issn":["2161-024X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 18th International Conference on Geoinformatics","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","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/A5001264452","display_name":"Huaien Zeng","orcid":"https://orcid.org/0000-0002-0040-5417","observed_orcids":["https://orcid.org/0000-0002-0040-5417"]},"institutions":[{"id":"https://openalex.org/I161350542","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77","country_code":"CN","type":"education","lineage":["https://openalex.org/I161350542"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaien Zeng","raw_affiliation_strings":["Key Laboratory of Geological Hazards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Yichang, China","Key Laboratory of Geological Hazards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Yichang, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Geological Hazards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Yichang, China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Key Laboratory of Geological Hazards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Yichang, People's Republic of China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077885332","display_name":"Qinglin Yi","orcid":"https://orcid.org/0000-0003-1840-5498","observed_orcids":["https://orcid.org/0000-0003-1840-5498"]},"institutions":[{"id":"https://openalex.org/I161350542","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77","country_code":"CN","type":"education","lineage":["https://openalex.org/I161350542"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinglin Yi","raw_affiliation_strings":["Key Laboratory of Geological Hazards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Yichang, China","Key Laboratory of Geological Hazards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Yichang, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Geological Hazards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Yichang, China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Key Laboratory of Geological Hazards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Yichang, People's Republic of China","institution_ids":["https://openalex.org/I161350542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161350542"],"apc_list":null,"apc_paid":null,"fwci":2.7673,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.90583333,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.7538999915122986,"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"}},"topics":[{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.7538999915122986,"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"}},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.10499999672174454,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10655","display_name":"GNSS positioning and interference","score":0.0551999993622303,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/analytical-solution","display_name":"analytical solution","score":0.9240000247955322},{"id":"https://openalex.org/keywords/large-rotation-angle","display_name":"large rotation angle","score":0.7940000295639038},{"id":"https://openalex.org/keywords/rotation-vector","display_name":"rotation vector","score":0.6380000114440918},{"id":"https://openalex.org/keywords/rotation-matrix","display_name":"rotation matrices","score":0.6330000162124634},{"id":"https://openalex.org/keywords/scale-parameter","display_name":"scale parameter","score":0.5600000023841858},{"id":"https://openalex.org/keywords/translation-parameters","display_name":"translation parameters","score":0.9559999704360962},{"id":"https://openalex.org/keywords/coordinate-transformation","display_name":"coordinate transformation","score":0.5830000042915344}],"concepts":[{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.838481068611145},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.7536476850509644},{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.7415886521339417},{"id":"https://openalex.org/C88977231","wikidata":"https://www.wikidata.org/wiki/Q681406","display_name":"Euler's rotation theorem","level":3,"score":0.6519237756729126},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.5888533592224121},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5512531399726868},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5484954118728638},{"id":"https://openalex.org/C49996920","wikidata":"https://www.wikidata.org/wiki/Q17089185","display_name":"Essential matrix","level":5,"score":0.5451057553291321},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.531086802482605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5020692348480225},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.49581965804100037},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46456044912338257},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4323037564754486},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37496769428253174},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3200126588344574},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2448851764202118},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.2310241460800171},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12013566493988037},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.11252498626708984},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.106253981590271},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0990944504737854},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0741029679775238},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/geoinformatics.2010.5568048","doi":"https://doi.org/10.1109/geoinformatics.2010.5568048","is_oa":false,"landing_page_url":"https://doi.org/10.1109/geoinformatics.2010.5568048","pdf_url":null,"source":{"id":"https://openalex.org/S4306419483","display_name":"International Conference on Geoinformatics","issn_l":"2161-024X","issn":["2161-024X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 18th International Conference on Geoinformatics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W133999087","https://openalex.org/W1985821004","https://openalex.org/W2035013515","https://openalex.org/W2062903423","https://openalex.org/W2092111004","https://openalex.org/W2357969733","https://openalex.org/W2381584688","https://openalex.org/W3152279605","https://openalex.org/W6659307695"],"related_works":["https://openalex.org/W2993407902","https://openalex.org/W164335704","https://openalex.org/W2116042025","https://openalex.org/W1982279889","https://openalex.org/W2974549797","https://openalex.org/W2383295478","https://openalex.org/W4308145603","https://openalex.org/W2062903423","https://openalex.org/W2149459879","https://openalex.org/W2321488636"],"abstract_inverted_index":{"Nonlinear":[0],"geodetic":[1],"datum":[2],"transformation":[3],"is":[4,80,113],"particular":[5],"suitable":[6],"for":[7],"the":[8,37,44,50,56,61,70,88,92,98,102,110,118],"case":[9,106],"of":[10,20,46,58,73,91,116],"large":[11],"rotation":[12,47,59,84,93,128],"angles,":[13],"and":[14,40,126],"has":[15],"been":[16],"an":[17],"active":[18],"area":[19],"research":[21],"in":[22],"recent":[23],"years.":[24],"In":[25],"this":[26],"paper,":[27],"we":[28,86,96],"propose":[29],"a":[30,83],"new":[31],"analytical":[32,99],"solution.":[33],"The":[34,105],"method":[35,62,112],"expresses":[36],"scale":[38],"parameter":[39],"translation":[41],"parameters":[42],"as":[43],"function":[45],"matrix,":[48,60],"through":[49],"derivation":[51],"process.":[52],"Then,":[53],"according":[54],"to":[55,66,101],"orthogonality":[57],"adopts":[63],"Rodrigues":[64,74],"matrix":[65,75,78],"represent":[67],"it.":[68],"Using":[69],"relative":[71],"formula":[72,90],"with":[76],"anti-symmetric":[77],"which":[79],"formed":[81],"by":[82,122],"vector,":[85],"derive":[87],"solution":[89,100],"vector.":[94],"Finally,":[95],"obtain":[97],"seven":[103],"parameters.":[104],"studies":[107],"indicate":[108],"that":[109],"proposed":[111],"valid,":[114],"regardless":[115],"whether":[117,127],"coordinates":[119],"are":[120,130],"polluted":[121],"noise":[123],"or":[124,132],"not,":[125],"angles":[129],"big":[131],"small.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}