{"id":"https://openalex.org/W3159598613","doi":"https://doi.org/10.1109/icpr48806.2021.9412090","title":"Exact and Convergent Iterative Methods to Compute the Orthogonal Point-to-Ellipse Distance","display_name":"Exact and Convergent Iterative Methods to Compute the Orthogonal Point-to-Ellipse Distance","publication_year":2021,"publication_date":"2021-01-10","ids":{"openalex":"https://openalex.org/W3159598613","doi":"https://doi.org/10.1109/icpr48806.2021.9412090","mag":"3159598613"},"language":"en","primary_location":{"id":"doi:10.1109/icpr48806.2021.9412090","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr48806.2021.9412090","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 25th International Conference on Pattern Recognition (ICPR)","raw_type":"proceedings-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/A5101734187","display_name":"Siyu Guo","orcid":"https://orcid.org/0000-0002-3409-0185"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Siyu Guo","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036125089","display_name":"Pingping Hu","orcid":"https://orcid.org/0009-0004-4277-3893"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingping Hu","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055621451","display_name":"Zhigang Ling","orcid":"https://orcid.org/0000-0002-4752-769X"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Ling","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100682305","display_name":"He Wen","orcid":"https://orcid.org/0000-0001-8024-1899"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"He Wen","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100343854","display_name":"Min Liu","orcid":"https://orcid.org/0000-0001-6406-4896"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Liu","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103034466","display_name":"Lu Tang","orcid":"https://orcid.org/0000-0003-0344-5067"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Tang","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5101734187"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04375817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"5076","last_page":"5082"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.9997000098228455,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9997000098228455,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9661999940872192,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9607999920845032,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/ellipse","display_name":"Ellipse","score":0.8701937198638916},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6293737888336182},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6005942821502686},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5846287608146667},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.49216169118881226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48632627725601196},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.46541595458984375},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4647008776664734},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42105796933174133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40740686655044556},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3844464421272278},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35483992099761963},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24075576663017273},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15255513787269592}],"concepts":[{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.8701937198638916},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6293737888336182},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6005942821502686},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5846287608146667},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.49216169118881226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48632627725601196},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.46541595458984375},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4647008776664734},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42105796933174133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40740686655044556},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3844464421272278},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35483992099761963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24075576663017273},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15255513787269592},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icpr48806.2021.9412090","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr48806.2021.9412090","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 25th International Conference on Pattern Recognition (ICPR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G529402883","display_name":null,"funder_award_id":"61471167,61971183","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":28,"referenced_works":["https://openalex.org/W115080820","https://openalex.org/W147587829","https://openalex.org/W1514891652","https://openalex.org/W1566651525","https://openalex.org/W1575528514","https://openalex.org/W1578518384","https://openalex.org/W1921858121","https://openalex.org/W2023752928","https://openalex.org/W2024113226","https://openalex.org/W2028790949","https://openalex.org/W2042479859","https://openalex.org/W2050629993","https://openalex.org/W2054585288","https://openalex.org/W2081226903","https://openalex.org/W2083229832","https://openalex.org/W2125893396","https://openalex.org/W2140427427","https://openalex.org/W2164196857","https://openalex.org/W2533912483","https://openalex.org/W2773893235","https://openalex.org/W2794846522","https://openalex.org/W2883373520","https://openalex.org/W2947224735","https://openalex.org/W2954901821","https://openalex.org/W2987855243","https://openalex.org/W3005453401","https://openalex.org/W6605954769","https://openalex.org/W6634285506"],"related_works":["https://openalex.org/W2371136327","https://openalex.org/W4293234107","https://openalex.org/W2370549269","https://openalex.org/W2386824811","https://openalex.org/W2354618530","https://openalex.org/W2081226903","https://openalex.org/W2363452175","https://openalex.org/W2375225935","https://openalex.org/W2542179972","https://openalex.org/W2131998656"],"abstract_inverted_index":{"Computation":[0],"of":[1,15,24,60],"the":[2,13,29,35,42,46,56,76,105,123,135,139,145,153,162,177],"orthogonal":[3,16,26,31],"distance":[4,17,27],"from":[5,80],"a":[6,90,173],"given":[7],"point":[8,33],"to":[9,74,87,89,120],"an":[10,81,101],"ellipse":[11,19,36],"is":[12,37,64,85,108,118,148],"basis":[14],"based":[18],"fitting":[20],"methods.":[21],"The":[22,52,67,93],"problem":[23],"this":[25],"and":[28,39,45,78,111,129,158],"corresponding":[30],"contacting":[32],"on":[34],"investigated,":[38],"two":[40],"algorithms,":[41],"exact":[43,53,128,140],"one":[44],"convergent":[47,91],"iterative":[48,68,130,146],"one,":[49],"are":[50,96],"proposed.":[51],"algorithm":[54,107,141,147],"utilizes":[55],"closed":[57],"form":[58],"solution":[59,83,136],"quartic":[61],"equations,":[62],"but":[63,160],"numerically":[65],"unstable.":[66],"algorithm,":[69],"however,":[70],"uses":[71],"Newton's":[72],"method":[73,175],"solve":[75],"equation,":[77],"starts":[79],"initial":[82],"that":[84],"proven":[86],"lead":[88],"iteration.":[92],"proposed":[94],"algorithms":[95,131],"compared":[97],"in":[98,114,156],"experiments":[99],"with":[100],"existing":[102,154],"rival.":[103],"Although":[104],"rival":[106,155],"slightly":[109,150],"faster":[110],"more":[112,166],"accurate":[113],"realistic":[115],"scenarios,":[116],"divergence":[117],"likely":[119],"occur.":[121],"On":[122],"other":[124],"hand,":[125],"both":[126],"our":[127],"can":[132],"reliably":[133],"produce":[134],"needed.":[137],"While":[138],"encounters":[142],"numeric":[143],"instability,":[144],"only":[149],"outperformed":[151],"by":[152],"speed":[157],"accuracy,":[159],"at":[161],"same":[163],"time":[164],"provides":[165],"reliable":[167],"computation":[168],"process,":[169],"thus":[170],"making":[171],"it":[172],"preferable":[174],"for":[176],"task.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
