{"id":"https://openalex.org/W2101390742","doi":"https://doi.org/10.1007/11533719_49","title":"Triangulating a Convex Polygon with Small Number of Non-standard Bars","display_name":"Triangulating a Convex Polygon with Small Number of Non-standard Bars","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2101390742","doi":"https://doi.org/10.1007/11533719_49","mag":"2101390742"},"language":"en","primary_location":{"id":"doi:10.1007/11533719_49","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11533719_49","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/A5113747124","display_name":"Yinfeng Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yinfeng Xu","raw_affiliation_strings":["School of Management, Xi\u2019an Jiaotong University, Xi\u2019an, P.R. China","The State Key Lab for Manufacturing Systems Engineering, P.R. China","School of Management, Xi'an Jiaotong University, Xi'an, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Management, Xi\u2019an Jiaotong University, Xi\u2019an, P.R. China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"The State Key Lab for Manufacturing Systems Engineering, P.R. China","institution_ids":[]},{"raw_affiliation_string":"School of Management, Xi'an Jiaotong University, Xi'an, P.R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101051427","display_name":"Wenqiang Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenqiang Dai","raw_affiliation_strings":["School of Management, Xi\u2019an Jiaotong University, Xi\u2019an, P.R. China","School of Management, Xi'an Jiaotong University, Xi'an, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Management, Xi\u2019an Jiaotong University, Xi\u2019an, P.R. China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Management, Xi'an Jiaotong University, Xi'an, P.R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082448893","display_name":"Naoki Katoh","orcid":null},"institutions":[{"id":"https://openalex.org/I4210097800","display_name":"Kyoto Architecture University","ror":"https://ror.org/00w2erz81","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210097800"]},{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naoki Katoh","raw_affiliation_strings":["Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I4210097800","https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061801862","display_name":"Makoto Ohsaki","orcid":"https://orcid.org/0000-0003-4935-8874"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210097800","display_name":"Kyoto Architecture University","ror":"https://ror.org/00w2erz81","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210097800"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Makoto Ohsaki","raw_affiliation_strings":["Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I4210097800","https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113747124"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.397,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62004175,"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":"481","last_page":"489"},"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":0.9848999977111816,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9775000214576721,"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/combinatorics","display_name":"Combinatorics","score":0.7006108164787292},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.6702698469161987},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6589969992637634},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.655170738697052},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6070454716682434},{"id":"https://openalex.org/keywords/minimum-weight-triangulation","display_name":"Minimum-weight triangulation","score":0.5783602595329285},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.5539207458496094},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.5430386662483215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5220025181770325},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5219635367393494},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5165759325027466},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4580039978027344},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.4549245238304138},{"id":"https://openalex.org/keywords/star-shaped-polygon","display_name":"Star-shaped polygon","score":0.4375265836715698},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.41898778080940247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2745932936668396},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2689056396484375},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.24569708108901978},{"id":"https://openalex.org/keywords/constrained-delaunay-triangulation","display_name":"Constrained Delaunay triangulation","score":0.19083061814308167},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.17945188283920288},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09354773163795471},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05580434203147888}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7006108164787292},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.6702698469161987},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6589969992637634},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.655170738697052},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6070454716682434},{"id":"https://openalex.org/C39969762","wikidata":"https://www.wikidata.org/wiki/Q6865406","display_name":"Minimum-weight triangulation","level":4,"score":0.5783602595329285},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.5539207458496094},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.5430386662483215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5220025181770325},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5219635367393494},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5165759325027466},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4580039978027344},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.4549245238304138},{"id":"https://openalex.org/C96366933","wikidata":"https://www.wikidata.org/wiki/Q2122886","display_name":"Star-shaped polygon","level":5,"score":0.4375265836715698},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.41898778080940247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2745932936668396},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2689056396484375},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.24569708108901978},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.19083061814308167},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.17945188283920288},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09354773163795471},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05580434203147888},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/11533719_49","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11533719_49","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:CiteSeerX.psu:10.1.1.669.8349","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.669.8349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://yinfengxu.cn/admin/upload/2008122913374436890.pdf","raw_type":"text"},{"id":"pmh:oai:repository.kulib.kyoto-u.ac.jp:2433/8908","is_oa":false,"landing_page_url":"http://hdl.handle.net/2433/8908","pdf_url":null,"source":{"id":"https://openalex.org/S4306401454","display_name":"Kyoto University Research Information Repository (Kyoto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I22299242","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/I22299242"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1547668367","https://openalex.org/W1659568777","https://openalex.org/W1859228235","https://openalex.org/W1967337063","https://openalex.org/W1969549682","https://openalex.org/W2000475617","https://openalex.org/W2022266599","https://openalex.org/W2032497782","https://openalex.org/W2064686450","https://openalex.org/W2120018535","https://openalex.org/W2130337301","https://openalex.org/W2488345023","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2026465854","https://openalex.org/W1812659169","https://openalex.org/W3036994771","https://openalex.org/W2165083794","https://openalex.org/W1579553590","https://openalex.org/W2997571660","https://openalex.org/W2913852997","https://openalex.org/W2382144060","https://openalex.org/W4389478376","https://openalex.org/W1964168400"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
