{"id":"https://openalex.org/W2111138596","doi":"https://doi.org/10.1145/1542362.1542379","title":"Quadrilateral meshes with bounded minimum angle","display_name":"Quadrilateral meshes with bounded minimum angle","publication_year":2009,"publication_date":"2009-06-08","ids":{"openalex":"https://openalex.org/W2111138596","doi":"https://doi.org/10.1145/1542362.1542379","mag":"2111138596"},"language":"en","primary_location":{"id":"doi:10.1145/1542362.1542379","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1542362.1542379","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-fifth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"conference-paper","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/A5020002793","display_name":"Scott Hine","orcid":null},"institutions":[{"id":"https://openalex.org/I51077184","display_name":"Saint Joseph's University","ror":"https://ror.org/05q87sg56","country_code":"US","type":"education","lineage":["https://openalex.org/I51077184"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Scott Hine","raw_affiliation_strings":["St. Joseph's University, Philadelphia, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Joseph's University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I51077184"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068296206","display_name":"F. Betul Atalay","orcid":"https://orcid.org/0000-0001-6349-7745"},"institutions":[{"id":"https://openalex.org/I51077184","display_name":"Saint Joseph's University","ror":"https://ror.org/05q87sg56","country_code":"US","type":"education","lineage":["https://openalex.org/I51077184"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. Betul Atalay","raw_affiliation_strings":["St. Joseph's University, Philadelphia, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Joseph's University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I51077184"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113753479","display_name":"Dianna Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I102373834","display_name":"Bryn Mawr College","ror":"https://ror.org/05sjwtp51","country_code":"US","type":"education","lineage":["https://openalex.org/I102373834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dianna Xu","raw_affiliation_strings":["Bryn Mawr College, Bryn Mawr, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bryn Mawr College, Bryn Mawr, PA, USA","institution_ids":["https://openalex.org/I102373834"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112446686","display_name":"Suneeta Ramaswami","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Suneeta Ramaswami","raw_affiliation_strings":["Rutgers University, Camden, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rutgers University, Camden, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"90","last_page":"91"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9958999752998352,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.994700014591217,"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/quadrilateral","display_name":"Quadrilateral","score":0.9070197343826294},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8614600896835327},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6369615197181702},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6100256443023682},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.5010099411010742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39836370944976807},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.368747740983963},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35675889253616333},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.352230966091156},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35045045614242554},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16646623611450195},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10087183117866516},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.07137537002563477},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.06411629915237427}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.9070197343826294},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8614600896835327},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6369615197181702},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6100256443023682},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.5010099411010742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39836370944976807},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.368747740983963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35675889253616333},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.352230966091156},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35045045614242554},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16646623611450195},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10087183117866516},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.07137537002563477},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.06411629915237427}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1542362.1542379","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1542362.1542379","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-fifth annual symposium on Computational geometry","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1965167217","https://openalex.org/W1969549682","https://openalex.org/W1997564653","https://openalex.org/W2006713229","https://openalex.org/W2036576990","https://openalex.org/W2038073127","https://openalex.org/W2072535053","https://openalex.org/W2082687226","https://openalex.org/W2096834459","https://openalex.org/W2097920610","https://openalex.org/W2109911863","https://openalex.org/W2114118518","https://openalex.org/W2120018535","https://openalex.org/W2129412583","https://openalex.org/W2141516920","https://openalex.org/W2248938770","https://openalex.org/W2398457594","https://openalex.org/W2949855172","https://openalex.org/W4212882697","https://openalex.org/W6635527602","https://openalex.org/W6676589310"],"related_works":["https://openalex.org/W1968086293","https://openalex.org/W2050851932","https://openalex.org/W2601611040","https://openalex.org/W2184057547","https://openalex.org/W4210950568","https://openalex.org/W2048163432","https://openalex.org/W2381018316","https://openalex.org/W3201757880","https://openalex.org/W156011255","https://openalex.org/W1740070153"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"algorithm":[3],"that":[4],"constructs":[5],"a":[6,12,38],"strictly":[7],"convex":[8],"quadrilateral":[9,34],"mesh":[10,35],"for":[11],"simple":[13],"polygonal":[14],"region":[15],"in":[16],"which":[17],"no":[18],"newly":[19],"created":[20],"angle":[21],"is":[22,28],"smaller":[23],"than":[24],"D(18.43)":[25],"(=arctan(1/3)).":[26],"This":[27],"the":[29,42],"first":[30],"known":[31],"result":[32],"on":[33,41],"generation":[36],"with":[37],"provable":[39],"guarantee":[40],"minimum":[43],"angle.":[44]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
