{"id":"https://openalex.org/W2054585288","doi":"https://doi.org/10.1016/s0031-3203(00)00152-7","title":"Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola","display_name":"Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola","publication_year":2001,"publication_date":"2001-12-01","ids":{"openalex":"https://openalex.org/W2054585288","doi":"https://doi.org/10.1016/s0031-3203(00)00152-7","mag":"2054585288"},"language":"en","primary_location":{"id":"doi:10.1016/s0031-3203(00)00152-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0031-3203(00)00152-7","pdf_url":null,"source":{"id":"https://openalex.org/S414566","display_name":"Pattern Recognition","issn_l":"0031-3203","issn":["0031-3203","1873-5142"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition","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/A5101562915","display_name":"Sung Joon Ahn","orcid":"https://orcid.org/0000-0001-6339-0817"},"institutions":[{"id":"https://openalex.org/I3018473509","display_name":"Fraunhofer Institute for Manufacturing Engineering and Automation","ror":"https://ror.org/01rvqha10","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3018473509","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sung Joon Ahn","raw_affiliation_strings":["Fraunhofer Institute for Manufacturing Engineering and Automation (IPA), Nobelstr. 12, 70569 Stuttgart, Germany","Fraunhofer-Institute for Manufacturing Engineering and Automation (IPA), Nobelstr. 12, 70569 Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for Manufacturing Engineering and Automation (IPA), Nobelstr. 12, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I3018473509"]},{"raw_affiliation_string":"Fraunhofer-Institute for Manufacturing Engineering and Automation (IPA), Nobelstr. 12, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I3018473509"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019927319","display_name":"Wolfgang Rauh","orcid":null},"institutions":[{"id":"https://openalex.org/I3018473509","display_name":"Fraunhofer Institute for Manufacturing Engineering and Automation","ror":"https://ror.org/01rvqha10","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3018473509","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Rauh","raw_affiliation_strings":["Fraunhofer Institute for Manufacturing Engineering and Automation (IPA), Nobelstr. 12, 70569 Stuttgart, Germany","Fraunhofer-Institute for Manufacturing Engineering and Automation (IPA), Nobelstr. 12, 70569 Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for Manufacturing Engineering and Automation (IPA), Nobelstr. 12, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I3018473509"]},{"raw_affiliation_string":"Fraunhofer-Institute for Manufacturing Engineering and Automation (IPA), Nobelstr. 12, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I3018473509"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112194260","display_name":"Hans\u2010J\u00fcrgen Warnecke","orcid":null},"institutions":[{"id":"https://openalex.org/I4923324","display_name":"Fraunhofer Society","ror":"https://ror.org/05hkkdn48","country_code":"DE","type":"funder","lineage":["https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans-J\u00fcrgen Warnecke","raw_affiliation_strings":["Fraunhofer Society, Leonrodstr. 54, 80636 Munich, Germany","Fraunhofer Society, Leonrodstr. 54, 80636 Munich, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Society, Leonrodstr. 54, 80636 Munich, Germany","institution_ids":["https://openalex.org/I4923324"]},{"raw_affiliation_string":"Fraunhofer Society, Leonrodstr. 54, 80636 Munich, Germany#TAB#","institution_ids":["https://openalex.org/I4923324"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101562915"],"corresponding_institution_ids":["https://openalex.org/I3018473509"],"apc_list":{"value":2710,"currency":"USD","value_usd":2710},"apc_paid":null,"fwci":6.9627,"has_fulltext":false,"cited_by_count":369,"citation_normalized_percentile":{"value":0.97075982,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"34","issue":"12","first_page":"2283","last_page":"2303"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9945999979972839,"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9886000156402588,"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/hyperbola","display_name":"Hyperbola","score":0.947540283203125},{"id":"https://openalex.org/keywords/ellipse","display_name":"Ellipse","score":0.8964117765426636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7550839781761169},{"id":"https://openalex.org/keywords/parabola","display_name":"Parabola","score":0.6045733690261841},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5228890776634216},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48368415236473083},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.48136550188064575},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.43824487924575806},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.42495372891426086},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35028767585754395},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3468826115131378},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1064068078994751}],"concepts":[{"id":"https://openalex.org/C145050668","wikidata":"https://www.wikidata.org/wiki/Q165301","display_name":"Hyperbola","level":2,"score":0.947540283203125},{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.8964117765426636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7550839781761169},{"id":"https://openalex.org/C205890394","wikidata":"https://www.wikidata.org/wiki/Q48297","display_name":"Parabola","level":2,"score":0.6045733690261841},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5228890776634216},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48368415236473083},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.48136550188064575},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.43824487924575806},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.42495372891426086},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35028767585754395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3468826115131378},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1064068078994751},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0031-3203(00)00152-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0031-3203(00)00152-7","pdf_url":null,"source":{"id":"https://openalex.org/S414566","display_name":"Pattern Recognition","issn_l":"0031-3203","issn":["0031-3203","1873-5142"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition","raw_type":"journal-article"},{"id":"pmh:oai:fraunhofer.de:N-6536","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-6536.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer IPA","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/199619","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/199619","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W22745672","https://openalex.org/W192069707","https://openalex.org/W1646084548","https://openalex.org/W1978880919","https://openalex.org/W1980065040","https://openalex.org/W1981609785","https://openalex.org/W1982122197","https://openalex.org/W1985996371","https://openalex.org/W1988912633","https://openalex.org/W1991923460","https://openalex.org/W1994425143","https://openalex.org/W1997555648","https://openalex.org/W1998680315","https://openalex.org/W2000993409","https://openalex.org/W2010144685","https://openalex.org/W2011436613","https://openalex.org/W2022803415","https://openalex.org/W2023820523","https://openalex.org/W2028974272","https://openalex.org/W2045181334","https://openalex.org/W2045454602","https://openalex.org/W2046223657","https://openalex.org/W2046641306","https://openalex.org/W2066153944","https://openalex.org/W2078841894","https://openalex.org/W2080100994","https://openalex.org/W2087691532","https://openalex.org/W2093555349","https://openalex.org/W2095905764","https://openalex.org/W2104241941","https://openalex.org/W2113003378","https://openalex.org/W2121409247","https://openalex.org/W2140427427","https://openalex.org/W2153108143","https://openalex.org/W2153178980","https://openalex.org/W2164358341","https://openalex.org/W2294798173","https://openalex.org/W2498809520","https://openalex.org/W4237371814","https://openalex.org/W6645765873","https://openalex.org/W6650297179","https://openalex.org/W6656668668","https://openalex.org/W6657553402","https://openalex.org/W6671009298","https://openalex.org/W6682684482","https://openalex.org/W7039620200"],"related_works":["https://openalex.org/W3106093905","https://openalex.org/W2325628825","https://openalex.org/W1655344610","https://openalex.org/W1032920515","https://openalex.org/W4245060453","https://openalex.org/W2367703135","https://openalex.org/W2219641710","https://openalex.org/W4250038487","https://openalex.org/W1581294850","https://openalex.org/W2810805028"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":25},{"year":2020,"cited_by_count":20},{"year":2019,"cited_by_count":23},{"year":2018,"cited_by_count":21},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":18},{"year":2015,"cited_by_count":24},{"year":2014,"cited_by_count":24},{"year":2013,"cited_by_count":20},{"year":2012,"cited_by_count":13}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
