{"id":"https://openalex.org/W2017393523","doi":"https://doi.org/10.1016/s0097-8493(99)00137-5","title":"Implementation of set operations and intersection of Bezier curves","display_name":"Implementation of set operations and intersection of Bezier curves","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W2017393523","doi":"https://doi.org/10.1016/s0097-8493(99)00137-5","mag":"2017393523"},"language":"en","primary_location":{"id":"doi:10.1016/s0097-8493(99)00137-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-8493(99)00137-5","pdf_url":null,"source":{"id":"https://openalex.org/S94821547","display_name":"Computers & Graphics","issn_l":"0097-8493","issn":["0097-8493","1873-7684"],"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":"Computers &amp; Graphics","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/A5064790739","display_name":"Victor A. Debelov","orcid":"https://orcid.org/0000-0002-7577-4700"},"institutions":[{"id":"https://openalex.org/I4210110796","display_name":"Institute of Computational Mathematics and Mathematical Geophysics","ror":"https://ror.org/01z686714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210110796","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Victor A. Debelov","raw_affiliation_strings":["Institute of Computational Mathematics and Mathematical Geophisycs of SB RAS, Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Mathematical Geophisycs of SB RAS, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210110796"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046389367","display_name":"A. M. Matsokin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110796","display_name":"Institute of Computational Mathematics and Mathematical Geophysics","ror":"https://ror.org/01z686714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210110796","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Aleksandr M. Matsokin","raw_affiliation_strings":["Institute of Computational Mathematics and Mathematical Geophisycs of SB RAS, Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Mathematical Geophisycs of SB RAS, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210110796"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064790739"],"corresponding_institution_ids":["https://openalex.org/I4210110796"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12190944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"24","issue":"1","first_page":"53","last_page":"65"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9916999936103821,"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/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9751999974250793,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/intersection","display_name":"Intersection (aeronautics)","score":0.7066077589988708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6691834926605225},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6383898258209229},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.5924922823905945},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.5496245622634888},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5400278568267822},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5171774625778198},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.48730719089508057},{"id":"https://openalex.org/keywords/set-operations","display_name":"Set operations","score":0.4782240092754364},{"id":"https://openalex.org/keywords/plane-curve","display_name":"Plane curve","score":0.4744464159011841},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4611392915248871},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.4455547332763672},{"id":"https://openalex.org/keywords/cubic-function","display_name":"Cubic function","score":0.42018386721611023},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4173491895198822},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4066387712955475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3656672537326813},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36428582668304443},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29411911964416504},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2337656319141388},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21397599577903748},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1561892330646515}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7066077589988708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6691834926605225},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6383898258209229},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.5924922823905945},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.5496245622634888},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5400278568267822},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5171774625778198},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.48730719089508057},{"id":"https://openalex.org/C2777168461","wikidata":"https://www.wikidata.org/wiki/Q42196253","display_name":"Set operations","level":3,"score":0.4782240092754364},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.4744464159011841},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4611392915248871},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.4455547332763672},{"id":"https://openalex.org/C65559279","wikidata":"https://www.wikidata.org/wiki/Q16667694","display_name":"Cubic function","level":2,"score":0.42018386721611023},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4173491895198822},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4066387712955475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3656672537326813},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36428582668304443},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29411911964416504},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2337656319141388},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21397599577903748},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1561892330646515},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0097-8493(99)00137-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-8493(99)00137-5","pdf_url":null,"source":{"id":"https://openalex.org/S94821547","display_name":"Computers & Graphics","issn_l":"0097-8493","issn":["0097-8493","1873-7684"],"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":"Computers &amp; Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W644411640","https://openalex.org/W1552837001","https://openalex.org/W1980829704","https://openalex.org/W2029322949","https://openalex.org/W3141390961"],"related_works":["https://openalex.org/W2029438801","https://openalex.org/W4255217813","https://openalex.org/W2388819271","https://openalex.org/W2000986152","https://openalex.org/W1534610971","https://openalex.org/W2379569700","https://openalex.org/W1890369879","https://openalex.org/W4297774566","https://openalex.org/W2070238826","https://openalex.org/W1525446462"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
