{"id":"https://openalex.org/W2785123783","doi":"https://doi.org/10.1007/978-3-319-73447-7_61","title":"Obtaining Ellipse Common Tangent Line Equations by the Rolling Tangent Line Method","display_name":"Obtaining Ellipse Common Tangent Line Equations by the Rolling Tangent Line Method","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2785123783","doi":"https://doi.org/10.1007/978-3-319-73447-7_61","mag":"2785123783"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-73447-7_61","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-73447-7_61","pdf_url":null,"source":{"id":"https://openalex.org/S4393917809","display_name":"Lecture notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering","issn_l":"1867-8211","issn":["1867-8211","1867-822X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering","raw_type":"book-chapter"},"type":"book-chapter","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/A5102206745","display_name":"Naizhang Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Naizhang Feng","raw_affiliation_strings":["School of Information and Electrical Engineering, Harbin Institute of Technology, West Wenhua Road, 2, High-tech District, Weihai, 264209, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Harbin Institute of Technology, West Wenhua Road, 2, High-tech District, Weihai, 264209, Shandong, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089462461","display_name":"Teng Jiang","orcid":"https://orcid.org/0000-0002-3057-8511"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Teng Jiang","raw_affiliation_strings":["School of Information and Electrical Engineering, Harbin Institute of Technology, West Wenhua Road, 2, High-tech District, Weihai, 264209, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Harbin Institute of Technology, West Wenhua Road, 2, High-tech District, Weihai, 264209, Shandong, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022175259","display_name":"Shiqi Duan","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiqi Duan","raw_affiliation_strings":["School of Information and Electrical Engineering, Harbin Institute of Technology, West Wenhua Road, 2, High-tech District, Weihai, 264209, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Harbin Institute of Technology, West Wenhua Road, 2, High-tech District, Weihai, 264209, Shandong, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101459400","display_name":"Mingjian Sun","orcid":"https://orcid.org/0000-0001-8719-524X"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingjian Sun","raw_affiliation_strings":["School of Information and Electrical Engineering, Harbin Institute of Technology, West Wenhua Road, 2, High-tech District, Weihai, 264209, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Harbin Institute of Technology, West Wenhua Road, 2, High-tech District, Weihai, 264209, Shandong, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102206745"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":0.0907,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.43735898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"569","last_page":"576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9987000226974487,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ellipse","display_name":"Ellipse","score":0.9390661120414734},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.915003776550293},{"id":"https://openalex.org/keywords/tangent-vector","display_name":"Tangent vector","score":0.744727373123169},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.6297990679740906},{"id":"https://openalex.org/keywords/tangent-stiffness-matrix","display_name":"Tangent stiffness matrix","score":0.6175781488418579},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5344580411911011},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4810678958892822},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47039708495140076},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.41088879108428955},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3521808981895447},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1652393639087677},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.059959203004837036}],"concepts":[{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.9390661120414734},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.915003776550293},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.744727373123169},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.6297990679740906},{"id":"https://openalex.org/C178295079","wikidata":"https://www.wikidata.org/wiki/Q919765","display_name":"Tangent stiffness matrix","level":4,"score":0.6175781488418579},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5344580411911011},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4810678958892822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47039708495140076},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.41088879108428955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3521808981895447},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1652393639087677},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.059959203004837036},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-73447-7_61","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-73447-7_61","pdf_url":null,"source":{"id":"https://openalex.org/S4393917809","display_name":"Lecture notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering","issn_l":"1867-8211","issn":["1867-8211","1867-822X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W241446717","https://openalex.org/W653555158","https://openalex.org/W1532286114","https://openalex.org/W1992989752","https://openalex.org/W2033819227","https://openalex.org/W2037320310","https://openalex.org/W2133059825","https://openalex.org/W2150580621","https://openalex.org/W2309498872","https://openalex.org/W2368370892"],"related_works":["https://openalex.org/W4249328994","https://openalex.org/W1972385476","https://openalex.org/W2379912139","https://openalex.org/W2361271799","https://openalex.org/W2391887161","https://openalex.org/W2785123783","https://openalex.org/W1998199163","https://openalex.org/W2577818139","https://openalex.org/W2374708066","https://openalex.org/W2980182494"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
