{"id":"https://openalex.org/W1593752537","doi":"https://doi.org/10.1007/3-540-58218-5_6","title":"New results on binary space partitions in the plane (extended abstract)","display_name":"New results on binary space partitions in the plane (extended abstract)","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W1593752537","doi":"https://doi.org/10.1007/3-540-58218-5_6","mag":"1593752537"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-58218-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58218-5_6","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/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Mark Berg","raw_affiliation_strings":["Utrecht university >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Utrecht university >  >  >  >","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022827902","display_name":"Marko M. de Groot","orcid":null},"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":"Marko Groot","raw_affiliation_strings":["Utrecht university >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Utrecht university >  >  >  >","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109262027","display_name":"Mark Overmars","orcid":null},"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":"Mark Overmars","raw_affiliation_strings":["Dept. of Computer Science, Utrecht University, P.O.Box 80.089, 3508, TB Utrecht, The Netherlands","Utrecht university >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Utrecht University, P.O.Box 80.089, 3508, TB Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Utrecht university >  >  >  >","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028410825"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.8753,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89516129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"61","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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":1.0,"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":0.9993000030517578,"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/T11106","display_name":"Data Management and Algorithms","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/homothetic-transformation","display_name":"Homothetic transformation","score":0.8343364000320435},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6353755593299866},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6244686245918274},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5970016121864319},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5691545009613037},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5311331152915955},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.48871397972106934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48628270626068115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44573426246643066},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.4376380741596222},{"id":"https://openalex.org/keywords/linear-space","display_name":"Linear space","score":0.42710524797439575},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4205958843231201},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4122040867805481},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33078718185424805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32655030488967896},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08493146300315857},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08296698331832886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0639437735080719},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.05718877911567688}],"concepts":[{"id":"https://openalex.org/C91709909","wikidata":"https://www.wikidata.org/wiki/Q583960","display_name":"Homothetic transformation","level":2,"score":0.8343364000320435},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6353755593299866},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6244686245918274},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5970016121864319},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5691545009613037},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5311331152915955},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.48871397972106934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48628270626068115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44573426246643066},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.4376380741596222},{"id":"https://openalex.org/C176370821","wikidata":"https://www.wikidata.org/wiki/Q1826459","display_name":"Linear space","level":2,"score":0.42710524797439575},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4205958843231201},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4122040867805481},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33078718185424805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32655030488967896},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08493146300315857},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08296698331832886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0639437735080719},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.05718877911567688},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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":3,"locations":[{"id":"doi:10.1007/3-540-58218-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58218-5_6","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/2ae30e82-8b0e-4421-8f68-599ad7079329","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/2ae30e82-8b0e-4421-8f68-599ad7079329","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, Groot, de, M M & Overmars, M H 1994, New results on binary space partitions in the plane. in E Meineche Schmidt & S Skyum (eds), Algorithm Theory - SWAT '94 (Proceedings of the 4th Scandinavian Workshop, Aarhus, Denmark, July 6-8, 1994). Lecture Notes in Computer Science, vol. 824, Springer, Berlin, pp. 61-72. https://doi.org/10.1007/3-540-58218-5_6","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:tue:oai:pure.tue.nl:publications/2ae30e82-8b0e-4421-8f68-599ad7079329","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/2ae30e82-8b0e-4421-8f68-599ad7079329","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 '94 (Proceedings of the 4th Scandinavian Workshop, Aarhus, Denmark, July 6-8, 1994), 61 - 72","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1983698126","https://openalex.org/W1994432275","https://openalex.org/W2005314985","https://openalex.org/W2017260899","https://openalex.org/W2018948678","https://openalex.org/W2062612774","https://openalex.org/W2067089692","https://openalex.org/W2068376033","https://openalex.org/W2117495921","https://openalex.org/W2134898774","https://openalex.org/W2135498625","https://openalex.org/W2140107257","https://openalex.org/W2278560942","https://openalex.org/W2911302472","https://openalex.org/W2997709504","https://openalex.org/W4244064761"],"related_works":["https://openalex.org/W1994989603","https://openalex.org/W2371284713","https://openalex.org/W3181266166","https://openalex.org/W2324743168","https://openalex.org/W1557097679","https://openalex.org/W4245661658","https://openalex.org/W2140901212","https://openalex.org/W2159360218","https://openalex.org/W2117228620","https://openalex.org/W4385367561"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}