{"id":"https://openalex.org/W2095800356","doi":"https://doi.org/10.1007/978-3-642-14600-8_9","title":"Drawing Area-Proportional Venn-3 Diagrams with Convex Polygons","display_name":"Drawing Area-Proportional Venn-3 Diagrams with Convex Polygons","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2095800356","doi":"https://doi.org/10.1007/978-3-642-14600-8_9","mag":"2095800356"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-14600-8_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14600-8_9","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/A5048815064","display_name":"Peter Rodgers","orcid":"https://orcid.org/0000-0002-4100-3596"},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peter Rodgers","raw_affiliation_strings":["University of Kent, Canterbury, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kent, Canterbury, UK","institution_ids":["https://openalex.org/I20581793"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111453234","display_name":"Jean Flower","orcid":null},"institutions":[{"id":"https://openalex.org/I1286353243","display_name":"Autodesk (United States)","ror":"https://ror.org/00pkt4594","country_code":"US","type":"company","lineage":["https://openalex.org/I1286353243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jean Flower","raw_affiliation_strings":["Autodesk, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Autodesk, USA","institution_ids":["https://openalex.org/I1286353243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057312942","display_name":"Gem Stapleton","orcid":"https://orcid.org/0000-0002-6567-6752"},"institutions":[{"id":"https://openalex.org/I71637028","display_name":"University of Brighton","ror":"https://ror.org/04kp2b655","country_code":"GB","type":"education","lineage":["https://openalex.org/I71637028"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gem Stapleton","raw_affiliation_strings":["Visual Modelling Group, University of Brighton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Visual Modelling Group, University of Brighton, UK","institution_ids":["https://openalex.org/I71637028"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046857336","display_name":"John Howse","orcid":"https://orcid.org/0000-0002-2329-2726"},"institutions":[{"id":"https://openalex.org/I71637028","display_name":"University of Brighton","ror":"https://ror.org/04kp2b655","country_code":"GB","type":"education","lineage":["https://openalex.org/I71637028"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John Howse","raw_affiliation_strings":["Visual Modelling Group, University of Brighton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Visual Modelling Group, University of Brighton, UK","institution_ids":["https://openalex.org/I71637028"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.59,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.92115849,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"54","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9976999759674072,"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"}},"topics":[{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9976999759674072,"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":0.9460999965667725,"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"}},{"id":"https://openalex.org/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.9269999861717224,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/venn-diagram","display_name":"Venn diagram","score":0.9841993451118469},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6237480044364929},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.5785495638847351},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5608237385749817},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5479337573051453},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.4716189205646515},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.46053504943847656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2991899847984314},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2609231770038605},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2099955677986145},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08806562423706055}],"concepts":[{"id":"https://openalex.org/C55508974","wikidata":"https://www.wikidata.org/wiki/Q190763","display_name":"Venn diagram","level":2,"score":0.9841993451118469},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6237480044364929},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.5785495638847351},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5608237385749817},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5479337573051453},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.4716189205646515},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.46053504943847656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2991899847984314},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2609231770038605},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2099955677986145},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08806562423706055},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-642-14600-8_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14600-8_9","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:kar.kent.ac.uk:30644","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196264","display_name":"Kent Academic Repository (University of Kent)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20581793","host_organization_name":"University of Kent","host_organization_lineage":["https://openalex.org/I20581793"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.360.6757","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.360.6757","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cem.brighton.ac.uk/users/ges9/D2010c.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.414.9735","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.414.9735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.kent.ac.uk/pubs/2010/2989/content.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.brighton.ac.uk:8651","is_oa":false,"landing_page_url":"http://eprints.brighton.ac.uk/8651/1/paper_43.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401758","display_name":"University of Brighton Repository (University of Brighton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71637028","host_organization_name":"University of Brighton","host_organization_lineage":["https://openalex.org/I71637028"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Contribution to conference proceedings in the public domain"},{"id":"pmh:oai:pure.atira.dk:publications/5804a971-fee1-4295-aedb-ca36dcac5b96","is_oa":false,"landing_page_url":"https://research.brighton.ac.uk/en/publications/5804a971-fee1-4295-aedb-ca36dcac5b96","pdf_url":null,"source":{"id":"https://openalex.org/S4306401758","display_name":"University of Brighton Repository (University of Brighton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71637028","host_organization_name":"University of Brighton","host_organization_lineage":["https://openalex.org/I71637028"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Rodgers, P, Flower, J, Stapleton, G & Howse, J 2010, Drawing area-proportional Venn-3 diagrams with convex polygons. in 6th International Conference on the Theory and Application of Diagrams. Lecture Notes in Computer Science, Springer, Berlin, Germany, pp. 54-68, 6th International Conference on the Theory and Application of Diagrams, 9/08/10. < http://www.sciweavers.org/publications/drawing-area-proportional-venn-3-diagrams-convex-polygons >","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1705857423","display_name":null,"funder_award_id":"EP/E011160/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4259066669","display_name":"Visualization with Euler Diagrams","funder_award_id":"EP/E011160/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4947687618","display_name":null,"funder_award_id":"EP/H012311/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5486539411","display_name":"Visualization with Euler Diagrams","funder_award_id":"EP/E010393/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6176001848","display_name":null,"funder_award_id":"EP/E010393/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G723638931","display_name":null,"funder_award_id":"EP/E011160","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7312613780","display_name":"Defining Regular Languages with Diagrams","funder_award_id":"EP/H012311/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8690075585","display_name":"Sketching Euler Diagrams","funder_award_id":"EP/H048480/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1517268357","https://openalex.org/W1534480245","https://openalex.org/W1616708177","https://openalex.org/W1976797956","https://openalex.org/W2054598634","https://openalex.org/W2097227695","https://openalex.org/W2147791072","https://openalex.org/W2151666786","https://openalex.org/W2772385674","https://openalex.org/W4238801947"],"related_works":["https://openalex.org/W2376997122","https://openalex.org/W2026600343","https://openalex.org/W2478309485","https://openalex.org/W4382519084","https://openalex.org/W2391247224","https://openalex.org/W2112761337","https://openalex.org/W4311073519","https://openalex.org/W144566582","https://openalex.org/W2002037426","https://openalex.org/W3092518081"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}