{"id":"https://openalex.org/W2198023770","doi":"https://doi.org/10.1016/s0925-7721(01)00050-5","title":"Algebraic methods and arithmetic filtering for exact predicates on circle arcs","display_name":"Algebraic methods and arithmetic filtering for exact predicates on circle arcs","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W2198023770","doi":"https://doi.org/10.1016/s0925-7721(01)00050-5","mag":"2198023770"},"language":"en","primary_location":{"id":"doi:10.1016/s0925-7721(01)00050-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(01)00050-5","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"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":"Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00166709","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043040182","display_name":"Olivier Devillers","orcid":"https://orcid.org/0000-0003-4275-5068"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Olivier Devillers","raw_affiliation_strings":["INRIA Sophia Antipolis, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051422579","display_name":"Alexandra Fronville","orcid":"https://orcid.org/0000-0002-4851-9448"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandra Fronville","raw_affiliation_strings":["INRIA Sophia Antipolis, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003683965","display_name":"Bernard Mourrain","orcid":"https://orcid.org/0000-0002-8813-1368"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernard Mourrain","raw_affiliation_strings":["INRIA Sophia Antipolis, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033226902","display_name":"Monique Teillaud","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Monique Teillaud","raw_affiliation_strings":["INRIA Sophia Antipolis, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5043040182"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":2180,"currency":"USD","value_usd":2180},"apc_paid":null,"fwci":4.1523,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.94259042,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"1-3","first_page":"119","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9990000128746033,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.6072763204574585},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6031787991523743},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5932947397232056},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.549917995929718},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4663604497909546},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44601961970329285},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4401947557926178},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.41929101943969727},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39984047412872314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3257710337638855},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17667296528816223},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08518478274345398}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6072763204574585},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6031787991523743},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5932947397232056},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.549917995929718},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4663604497909546},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44601961970329285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4401947557926178},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.41929101943969727},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39984047412872314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3257710337638855},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17667296528816223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08518478274345398},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0925-7721(01)00050-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(01)00050-5","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"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":"Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:HAL:inria-00166709v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00166709","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Geometry, 2002, 22, pp.119-142. &#x27E8;10.1016/S0925-7721(01)00050-5&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00166709v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00166709","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Geometry, 2002, 22, pp.119-142. &#x27E8;10.1016/S0925-7721(01)00050-5&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1534043326","https://openalex.org/W1560124954","https://openalex.org/W1628745019","https://openalex.org/W1732167683","https://openalex.org/W1964080182","https://openalex.org/W1968297701","https://openalex.org/W1969096799","https://openalex.org/W1990481941","https://openalex.org/W2016691347","https://openalex.org/W2024905920","https://openalex.org/W2043552663","https://openalex.org/W2058298405","https://openalex.org/W2178913816","https://openalex.org/W3042945933","https://openalex.org/W6630081279","https://openalex.org/W6637628544","https://openalex.org/W6647898811","https://openalex.org/W6780936196"],"related_works":["https://openalex.org/W2348909947","https://openalex.org/W4292672442","https://openalex.org/W2362101859","https://openalex.org/W2941610985","https://openalex.org/W2791431590","https://openalex.org/W1978900583","https://openalex.org/W2350688482","https://openalex.org/W2053575972","https://openalex.org/W4323256314","https://openalex.org/W2087777635"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
