{"id":"https://openalex.org/W2035884884","doi":"https://doi.org/10.1007/s00454-001-0084-1","title":"Cutting Circles into Pseudo-Segments and Improved Bounds for Incidences% and Complexity of Many Faces","display_name":"Cutting Circles into Pseudo-Segments and Improved Bounds for Incidences% and Complexity of Many Faces","publication_year":2002,"publication_date":"2002-11-01","ids":{"openalex":"https://openalex.org/W2035884884","doi":"https://doi.org/10.1007/s00454-001-0084-1","mag":"2035884884"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-001-0084-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-001-0084-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-001-0084-1.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-001-0084-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042232059","display_name":"Boris Aronov","orcid":"https://orcid.org/0000-0003-3110-4702"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aronov","raw_affiliation_strings":["Department of Computer and Information Science, Polytechnic University, Brooklyn, NY 11201-3840, USA aronov@ziggy.poly.edu, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, Polytechnic University, Brooklyn, NY 11201-3840, USA aronov@ziggy.poly.edu, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021031906","display_name":"Sharir","orcid":null},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sharir","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, Tel-Aviv 69978, Israel sharir@cs.tau.ac.il and Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA, USA"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel-Aviv 69978, Israel sharir@cs.tau.ac.il and Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA, USA","institution_ids":["https://openalex.org/I36672615"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042232059"],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.1394,"has_fulltext":true,"cited_by_count":57,"citation_normalized_percentile":{"value":0.93640167,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":"4","first_page":"475","last_page":"490"},"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":0.9990000128746033,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8468934297561646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8266477584838867},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6396011114120483},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5957231521606445},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5431432127952576},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5160403251647949},{"id":"https://openalex.org/keywords/incidence","display_name":"Incidence (geometry)","score":0.4791668951511383},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3501776456832886},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16524329781532288},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07493710517883301},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07026183605194092}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8468934297561646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8266477584838867},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6396011114120483},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5957231521606445},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5431432127952576},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5160403251647949},{"id":"https://openalex.org/C61511704","wikidata":"https://www.wikidata.org/wiki/Q1671857","display_name":"Incidence (geometry)","level":2,"score":0.4791668951511383},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3501776456832886},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16524329781532288},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07493710517883301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07026183605194092},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-001-0084-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-001-0084-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-001-0084-1.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-001-0084-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-001-0084-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-001-0084-1.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322596","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2035884884.pdf","grobid_xml":"https://content.openalex.org/works/W2035884884.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W13988344","https://openalex.org/W86126052","https://openalex.org/W1964691748","https://openalex.org/W1986284980","https://openalex.org/W1992661443","https://openalex.org/W2016890960","https://openalex.org/W2018858611","https://openalex.org/W2022032623","https://openalex.org/W2022266599","https://openalex.org/W2024662946","https://openalex.org/W2028747718","https://openalex.org/W2029892604","https://openalex.org/W2050459520","https://openalex.org/W2058432138","https://openalex.org/W2064425726","https://openalex.org/W2071423278","https://openalex.org/W2101764588","https://openalex.org/W2122213873","https://openalex.org/W2144898438","https://openalex.org/W2155681397","https://openalex.org/W2168138462","https://openalex.org/W2568603896","https://openalex.org/W2912202394","https://openalex.org/W4210573031","https://openalex.org/W4235042979","https://openalex.org/W4254977685","https://openalex.org/W4300640952","https://openalex.org/W6601597184"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W1487201914","https://openalex.org/W280458463","https://openalex.org/W1170131723","https://openalex.org/W4301429470","https://openalex.org/W2168900540","https://openalex.org/W2125310826","https://openalex.org/W2380536887","https://openalex.org/W4367190712","https://openalex.org/W4319874546"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
