{"id":"https://openalex.org/W1552330244","doi":"https://doi.org/10.1007/3-540-57155-8_258","title":"A complete and efficient algorithm for the intersection of a general and a convex polyhedron","display_name":"A complete and efficient algorithm for the intersection of a general and a convex polyhedron","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1552330244","doi":"https://doi.org/10.1007/3-540-57155-8_258","mag":"1552330244"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-57155-8_258","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-57155-8_258","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"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/A5009797960","display_name":"Katrin Dobrindt","orcid":null},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["DE","FR"],"is_corresponding":true,"raw_author_name":"Katrin Dobrindt","raw_affiliation_strings":["INRIA, B.P.93, 06902, Sophia-Antipolis cedex, France","Max Planck Society"],"affiliations":[{"raw_affiliation_string":"INRIA, B.P.93, 06902, Sophia-Antipolis cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010961023","display_name":"Kurt Mehlhorn","orcid":"https://orcid.org/0000-0003-4020-4334"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kurt Mehlhorn","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Im Stadtwald, 6600, Saarbr\u00fccken, Germany","Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Im Stadtwald, 6600, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036222248","display_name":"Mariette Yvinec","orcid":null},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4390039363","display_name":"Infection et inflammation","ror":"https://ror.org/021sh3243","country_code":null,"type":"facility","lineage":["https://openalex.org/I154526488","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4390039363"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Mariette Yvinec","raw_affiliation_strings":["INRIA, B.P.93, 06902, Sophia-Antipolis cedex, France","Laboratoire I3S, CNRS-URA 1376, 06902, Sophia-Antipolis, France","Max Planck Society"],"affiliations":[{"raw_affiliation_string":"INRIA, B.P.93, 06902, Sophia-Antipolis cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Laboratoire I3S, CNRS-URA 1376, 06902, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4390039363"]},{"raw_affiliation_string":"Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009797960"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I149899117"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.18340611,"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":"314","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"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":0.9994000196456909,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9934999942779541,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/polyhedron","display_name":"Polyhedron","score":0.7514764666557312},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6410169005393982},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5255405306816101},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5189892649650574},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5161277055740356},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4700561761856079},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46118906140327454},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.4109744429588318},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4108603894710541},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1970028281211853},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18323183059692383},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08875006437301636}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.7514764666557312},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6410169005393982},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5255405306816101},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5189892649650574},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5161277055740356},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4700561761856079},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46118906140327454},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.4109744429588318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4108603894710541},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1970028281211853},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18323183059692383},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08875006437301636},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1007/3-540-57155-8_258","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-57155-8_258","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:hdl:10068/153635","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/153635","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:hdl:10068/56911","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/56911","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:10.1.1.35.5693","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.5693","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-2023.ps.gz","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:344515","is_oa":false,"landing_page_url":"http://edoc.mpg.de/344515","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms and data structures (WADS-93) : 3rd workshop, Springer, 314-324 (1993)","raw_type":"Conference-Paper"},{"id":"pmh:oai:edoc.mpg.de:344613","is_oa":false,"landing_page_url":"http://edoc.mpg.de/344613","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Other"},{"id":"pmh:oai:pure.mpg.de:item_1332000","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0014-ADC0-B","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.mpg.de:item_1332012","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0014-ADD5-E","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/other"},{"id":"mag:1552330244","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1495935620","https://openalex.org/W1529799268","https://openalex.org/W1561564976","https://openalex.org/W2008581147","https://openalex.org/W2016852342","https://openalex.org/W2100185791","https://openalex.org/W2475478067","https://openalex.org/W2911302472","https://openalex.org/W6679470077"],"related_works":["https://openalex.org/W1529799268","https://openalex.org/W2000878120","https://openalex.org/W2355195421","https://openalex.org/W1536290236","https://openalex.org/W2385331712","https://openalex.org/W2137207832","https://openalex.org/W2189685245","https://openalex.org/W2156153879","https://openalex.org/W2146517658","https://openalex.org/W2133740833","https://openalex.org/W1982289281","https://openalex.org/W1587748371","https://openalex.org/W1580925445","https://openalex.org/W1538991644","https://openalex.org/W1973686814","https://openalex.org/W2973133137","https://openalex.org/W2095780411","https://openalex.org/W1584292662","https://openalex.org/W2370371961","https://openalex.org/W1983830205"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
