{"id":"https://openalex.org/W3021771031","doi":"https://doi.org/10.1007/978-3-540-27810-8_13","title":"Maximizing the Area of Overlap of Two Unions of Disks Under Rigid Motion","display_name":"Maximizing the Area of Overlap of Two Unions of Disks Under Rigid Motion","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W3021771031","doi":"https://doi.org/10.1007/978-3-540-27810-8_13","mag":"3021771031"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-27810-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27810-8_13","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":"book-chapter","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/A5028410825","display_name":"Mark de Berg","orcid":"https://orcid.org/0000-0001-5770-3784"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Mark de Berg","raw_affiliation_strings":["Faculty of Mathematics and Computing Science, TU Eindhoven, Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computing Science, TU Eindhoven, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034923438","display_name":"Sergio Cabello","orcid":"https://orcid.org/0000-0002-3183-4126"},"institutions":[{"id":"https://openalex.org/I4210106342","display_name":"Institute of Mathematics, Physics, and Mechanics","ror":"https://ror.org/01eb3qa50","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210106342"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Sergio Cabello","raw_affiliation_strings":["Department of Mathematics, IMFM, Ljubljana, Slovenia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, IMFM, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210106342"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001427452","display_name":"Panos Giannopoulos","orcid":"https://orcid.org/0000-0002-6261-1961"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Panos Giannopoulos","raw_affiliation_strings":["Institute of Information and Computing Sciences, Utrecht University, Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Institute of Information and Computing Sciences, Utrecht University, Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003621581","display_name":"Christian Knauer","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Knauer","raw_affiliation_strings":["Institut f\u00fcr Informatik, Freie Universit\u00e4t Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Freie Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000419856","display_name":"Ren\u00e9 van Oostrum","orcid":"https://orcid.org/0009-0006-5734-4201"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ren\u00e9 van Oostrum","raw_affiliation_strings":["Institute of Information and Computing Sciences, Utrecht University, Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Institute of Information and Computing Sciences, Utrecht University, Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022137808","display_name":"Remco C. Veltkamp","orcid":"https://orcid.org/0000-0003-1934-7170"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Remco C. Veltkamp","raw_affiliation_strings":["Institute of Information and Computing Sciences, Utrecht University, Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Institute of Information and Computing Sciences, Utrecht University, Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5028410825"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0704,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89159292,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"138","last_page":"149"},"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":0.9915000200271606,"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":0.9894999861717224,"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/disjoint-sets","display_name":"Disjoint sets","score":0.7930889129638672},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7121357917785645},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6802294254302979},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6205227971076965},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5379301905632019},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5374968647956848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4833671450614929},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4806215167045593},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47594356536865234},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.4392439126968384},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4287130832672119},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.268974244594574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2556810975074768},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18920722603797913}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7930889129638672},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7121357917785645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6802294254302979},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6205227971076965},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5379301905632019},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5374968647956848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4833671450614929},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4806215167045593},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47594356536865234},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.4392439126968384},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4287130832672119},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.268974244594574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2556810975074768},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18920722603797913},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-540-27810-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27810-8_13","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:oai:pure.tue.nl:openaire_cris_publications/aec17c7e-48ed-40e9-8e95-91197a15b89b","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/aec17c7e-48ed-40e9-8e95-91197a15b89b","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Berg, de, M, Cabello, S, Giannopoulos, P, Knauer, C, Oostrum, van, R & Veltkamp, R C 2004, Maximizing the area of overlap of two unions of disks under rigid motion. in T Hagerup & J Katajainen (eds), Algorithm Theory - SWAT 2004 (Proceedings 9th Scandinavian Workshop on Algorithm Theory, Humlebaek, Denmark, July 8-10, 2004). Lecture Notes in Computer Science, vol. 3111, Springer, Berlin, pp. 138-149. https://doi.org/10.1007/978-3-540-27810-8_13","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.4251","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.4251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://archive.cs.uu.nl/pub/RUU/CS/techreps/CS-2004/2004-014.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.417.9373","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.417.9373","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.imfm.si/preprinti/PDF/01019.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.587.7264","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.587.7264","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.fmf.uni-lj.si/~cabello/publications/journal-area of overlap-2006-deBerg-cabello-giannopoulos-knauer-vanOostrum-veltkamp.pdf","raw_type":"text"},{"id":"pmh:tue:oai:pure.tue.nl:publications/aec17c7e-48ed-40e9-8e95-91197a15b89b","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/aec17c7e-48ed-40e9-8e95-91197a15b89b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithm Theory - SWAT 2004 (Proceedings 9th Scandinavian Workshop on Algorithm Theory, Humlebaek, Denmark, July 8-10, 2004), 138 - 149","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1555471913","https://openalex.org/W1989696335","https://openalex.org/W2000134108","https://openalex.org/W2046605360","https://openalex.org/W2051635527","https://openalex.org/W2064225533","https://openalex.org/W2064597564","https://openalex.org/W2081817049","https://openalex.org/W2087254112","https://openalex.org/W2092605143","https://openalex.org/W2156759998","https://openalex.org/W2219767408","https://openalex.org/W2767554808","https://openalex.org/W2768974198","https://openalex.org/W4235834673","https://openalex.org/W6884306420"],"related_works":["https://openalex.org/W2036758175","https://openalex.org/W3046990805","https://openalex.org/W4287691960","https://openalex.org/W3097369619","https://openalex.org/W1994598067","https://openalex.org/W2888826740","https://openalex.org/W2061496873","https://openalex.org/W2963158951","https://openalex.org/W2070751425","https://openalex.org/W2005018956"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}