{"id":"https://openalex.org/W4301456466","doi":"https://doi.org/10.1145/3549179.3549185","title":"Biparted Hyperboloid and Sphere Intersection Algorithm","display_name":"Biparted Hyperboloid and Sphere Intersection Algorithm","publication_year":2022,"publication_date":"2022-07-29","ids":{"openalex":"https://openalex.org/W4301456466","doi":"https://doi.org/10.1145/3549179.3549185"},"language":"en","primary_location":{"id":"doi:10.1145/3549179.3549185","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3549179.3549185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 4th International Conference on Pattern Recognition and Intelligent Systems","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/A5109035721","display_name":"Jing Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing Zhu","raw_affiliation_strings":["School of Computer and Information,, Anhui Normal University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information,, Anhui Normal University, China","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Houjun Hang","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Houjun Hang","raw_affiliation_strings":["School of Computer and Information,, Anhui Normal University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information,, Anhui Normal University, China","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111722130","display_name":"Yongjian Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongjian Cheng","raw_affiliation_strings":["School of Computer and Information,, Anhui Normal University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information,, Anhui Normal University, China","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020083340","display_name":"Ping Guo","orcid":"https://orcid.org/0000-0002-7122-1084"},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Guo","raw_affiliation_strings":["School of Computer and Information,, Anhui Normal University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information,, Anhui Normal University, China","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101231235","display_name":"Yaling Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaling Wu","raw_affiliation_strings":["School of Computer and Information,, Anhui Normal University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information,, Anhui Normal University, China","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100959156","display_name":"Yongyan Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongyan Sun","raw_affiliation_strings":["School of Computer and Information,, Anhui Normal University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information,, Anhui Normal University, China","institution_ids":["https://openalex.org/I4472751"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5109035721"],"corresponding_institution_ids":["https://openalex.org/I4472751"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1108986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":null,"first_page":"32","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9276000261306763,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T14270","display_name":"Simulation and Modeling Applications","score":0.9235000014305115,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/hyperboloid","display_name":"Hyperboloid","score":0.973886251449585},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.875759482383728},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.8569886684417725},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.773475170135498},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5433751344680786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5295679569244385},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5050840973854065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4796762466430664},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.45073404908180237},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4462691843509674},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4290165305137634},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.30840498208999634},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1724521815776825},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1253197193145752},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1047544777393341},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08579602837562561}],"concepts":[{"id":"https://openalex.org/C99564226","wikidata":"https://www.wikidata.org/wiki/Q505628","display_name":"Hyperboloid","level":2,"score":0.973886251449585},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.875759482383728},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.8569886684417725},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.773475170135498},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5433751344680786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5295679569244385},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5050840973854065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4796762466430664},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.45073404908180237},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4462691843509674},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4290165305137634},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.30840498208999634},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1724521815776825},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1253197193145752},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1047544777393341},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08579602837562561},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3549179.3549185","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3549179.3549185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 4th International Conference on Pattern Recognition and Intelligent Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1520224779","https://openalex.org/W2016216100","https://openalex.org/W2075312730","https://openalex.org/W2117062628","https://openalex.org/W2199004907","https://openalex.org/W3133547174","https://openalex.org/W4255151293"],"related_works":["https://openalex.org/W2083448373","https://openalex.org/W2346169048","https://openalex.org/W2969361455","https://openalex.org/W4400472675","https://openalex.org/W2092037985","https://openalex.org/W2353962719","https://openalex.org/W4301456466","https://openalex.org/W4389398768","https://openalex.org/W2982361390","https://openalex.org/W2366966240"],"abstract_inverted_index":{"Abstract.":[0],"The":[1],"focus":[2],"of":[3,22,43,50,65],"this":[4],"paper":[5],"is":[6,26,37,87],"about":[7],"biparted":[8,24],"hyperboloid":[9,25],"and":[10],"sphere":[11],"intersection":[12,52,66,71],"algorithm.":[13],"By":[14],"coordinate":[15],"transformation,":[16],"the":[17,23,41,44,47,51,62,70,84,90],"generalized":[18],"cylindrical":[19],"parametric":[20,63],"equation":[21,32,45],"first":[27],"gained.":[28],"Then":[29],"a":[30],"quartic":[31],"with":[33],"one":[34],"unknown":[35],"number":[36],"built.":[38],"According":[39],"to":[40,82],"distribution":[42],"roots,":[46],"topological":[48],"structure":[49],"curves":[53,67,72],"can":[54,73],"be":[55,74],"judged":[56],"accurately.":[57],"In":[58],"each":[59],"valid":[60],"subinterval,":[61],"equations":[64],"are":[68,80],"foundwhich":[69],"drawn":[75],"correctly.":[76],"Finally,":[77],"some":[78],"examples":[79],"provided":[81],"demonstrate":[83],"algorithm.The":[85],"algorithm":[86],"suitable":[88],"for":[89],"engineering":[91],"application.":[92]},"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}