{"id":"https://openalex.org/W2024905920","doi":"https://doi.org/10.1137/s0097539797329373","title":"Robust Plane Sweep for Intersecting Segments","display_name":"Robust Plane Sweep for Intersecting Segments","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2024905920","doi":"https://doi.org/10.1137/s0097539797329373","mag":"2024905920"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539797329373","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539797329373","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00073419","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105370783","display_name":"Jean\u2010Daniel Boissonnat","orcid":null},"institutions":[{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Jean-Daniel Boissonnat","raw_affiliation_strings":["Geometry, Algorithms and Robotics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Geometry, Algorithms and Robotics","institution_ids":["https://openalex.org/I4210099593"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112789186","display_name":"Franco P. Preparata","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Franco P. Preparata","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.6382,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.96849518,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"29","issue":"5","first_page":"1401","last_page":"1421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7751787900924683},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7246218323707581},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6192057132720947},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5719332695007324},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5208638310432434},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5178771018981934},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5143624544143677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5123816728591919},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4621691405773163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4095286428928375}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7751787900924683},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7246218323707581},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6192057132720947},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5719332695007324},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5208638310432434},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5178771018981934},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5143624544143677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5123816728591919},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4621691405773163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4095286428928375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/s0097539797329373","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539797329373","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:hdl:10068/56212","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/56212","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"R - Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.1923","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.1923","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.inria.fr/INRIA/publication/publi-ps-gz/RR/RR-3270.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.91.1578","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.91.1578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.brown.edu/research/pubs/pdfs/2000/Boissonnat-2000-RPS.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00073419v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00073419","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":"RR-3270, INRIA. 1997","raw_type":"info:eu-repo/semantics/report"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00073419v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00073419","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":"RR-3270, INRIA. 1997","raw_type":"info:eu-repo/semantics/report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W29298872","https://openalex.org/W1500512458","https://openalex.org/W1516306206","https://openalex.org/W1555289940","https://openalex.org/W1556128689","https://openalex.org/W1600937803","https://openalex.org/W1608681432","https://openalex.org/W1874694348","https://openalex.org/W1964080182","https://openalex.org/W1983379779","https://openalex.org/W2011318166","https://openalex.org/W2013279615","https://openalex.org/W2015696135","https://openalex.org/W2020263890","https://openalex.org/W2037486738","https://openalex.org/W2038730428","https://openalex.org/W2043552663","https://openalex.org/W2044484958","https://openalex.org/W2047175801","https://openalex.org/W2048401959","https://openalex.org/W2052642068","https://openalex.org/W2058432138","https://openalex.org/W2060113403","https://openalex.org/W2067610521","https://openalex.org/W2068141203","https://openalex.org/W2069231708","https://openalex.org/W2071184322","https://openalex.org/W2074843875","https://openalex.org/W2080598555","https://openalex.org/W2084227898","https://openalex.org/W2086163782","https://openalex.org/W2087654340","https://openalex.org/W2088994929","https://openalex.org/W2098148520","https://openalex.org/W2106413026","https://openalex.org/W2155865801","https://openalex.org/W2162294210","https://openalex.org/W2169004268","https://openalex.org/W2177163667","https://openalex.org/W4213074663","https://openalex.org/W4254977685","https://openalex.org/W4300102207"],"related_works":["https://openalex.org/W1887191277","https://openalex.org/W1996842245","https://openalex.org/W1516407058","https://openalex.org/W4323666601","https://openalex.org/W2324782219","https://openalex.org/W2334954212","https://openalex.org/W4381514690","https://openalex.org/W1998138867","https://openalex.org/W2949601240","https://openalex.org/W4233349789"],"abstract_inverted_index":{"In":[0],"this":[1,126],"paper,":[2],"we":[3,58],"reexamine":[4],"in":[5,20,51],"the":[6,11,21,55,67,79,83,92,98,102,110,115,156,160],"framework":[7],"of":[8,18,44,62,70,82,85,88,101,104,118,125,131,173],"robust":[9],"computation":[10,63,100],"Bentley--Ottmann":[12,162],"algorithm":[13,24],"for":[14],"reporting":[15],"intersecting":[16],"pairs":[17],"segments":[19],"plane.":[22],"This":[23],"has":[25],"been":[26],"reported":[27],"as":[28,159],"being":[29],"very":[30],"sensitive":[31],"to":[32,168],"numerical":[33],"errors.":[34],"Indeed,":[35],"a":[36,169],"simple":[37],"analysis":[38],"reveals":[39],"that":[40,147],"it":[41],"involves":[42,128],"predicates":[43,130],"degree":[45,133,150],"5,":[46],"presumably":[47],"never":[48],"evaluated":[49],"exactly":[50],"most":[52],"implementations.":[53],"Within":[54],"exact-computation":[56],"paradigm":[57],"introduce":[59],"two":[60],"models":[61,153],"aimed":[64],"at":[65],"replacing":[66],"conventional":[68],"model":[69,75,94],"real-number":[71],"arithmetic.":[72],"The":[73,164],"first":[74],"(predicate":[76],"arithmetic)":[77,96],"assumes":[78,97],"exact":[80,99],"evaluation":[81],"signs":[84],"algebraic":[86],"expressions":[87],"some":[89],"degree,":[90],"and":[91,154],"second":[93],"(exact":[95],"value":[103],"such":[105],"(bounded-degree)":[106],"expressions.":[107],"We":[108,142],"identify":[109],"characteristic":[111],"geometric":[112],"property":[113,127],"enabling":[114],"correct":[116],"report":[117],"all":[119],"intersections":[120],"by":[121],"plane":[122],"sweeps.":[123],"Verification":[124],"only":[129],"(optimal)":[132],"2,":[134],"but":[135],"its":[136],"straightforward":[137],"implementation":[138],"appears":[139],"highly":[140],"inefficient.":[141],"then":[143],"present":[144],"algorithmic":[145],"variants":[146],"have":[148],"low":[149],"under":[151],"these":[152],"achieve":[155],"same":[157],"performance":[158],"original":[161],"algorithm.":[163],"technique":[165],"is":[166],"applicable":[167],"more":[170],"general":[171],"case":[172],"curved":[174],"segments.":[175]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}