{"id":"https://openalex.org/W2015425624","doi":"https://doi.org/10.1007/bf01377183","title":"Ray shooting in polygons using geodesic triangulations","display_name":"Ray shooting in polygons using geodesic triangulations","publication_year":1994,"publication_date":"1994-07-01","ids":{"openalex":"https://openalex.org/W2015425624","doi":"https://doi.org/10.1007/bf01377183","mag":"2015425624"},"language":"en","primary_location":{"id":"doi:10.1007/bf01377183","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01377183","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},"type":"article","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/A5044565966","display_name":"Bernard Chazelle","orcid":"https://orcid.org/0000-0001-8542-0247"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Chazelle","raw_affiliation_strings":["Computer Science Department, Princeton University, 08544, Princeton, NJ, USA","Computer Science Department, Princeton University, Princeton, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Princeton University, 08544, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Computer Science Department, Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069999967","display_name":"Herbert Edelsbrunner","orcid":"https://orcid.org/0000-0002-9823-6833"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Edelsbrunner","raw_affiliation_strings":["Computer Science Department, University of Illinois, 61801, Urbana, IL, USA","Computer Science Department, University of Illinois, Urbana, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Illinois, 61801, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Computer Science Department, University of Illinois, Urbana, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044918524","display_name":"Michelangelo Grigni","orcid":"https://orcid.org/0000-0002-5616-9310"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Grigni","raw_affiliation_strings":["Department of Mathematics, MIT, 02139, Cambridge, MA, USA","Dept of Mathematics, MIT, Cambridge, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, MIT, 02139, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"Dept of Mathematics, MIT, Cambridge, USA","institution_ids":["https://openalex.org/I4210110987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111954013","display_name":"Leonidas J. Guibas","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Guibas","raw_affiliation_strings":["Computer Science Department, Stanford University, 94305-4055, Stanford, CA, USA","DEC Systems Research Center, 130 Lytton Avenue, 94301, Palo Alto, CA, USA","Laboratory for Computer Science, MIT, 02139, Cambridge, MA, USA","Laboratory for Computer Science, MIT, Cambridge, USA","Computer Science Department, Stanford University, Stanford, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Stanford University, 94305-4055, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"DEC Systems Research Center, 130 Lytton Avenue, 94301, Palo Alto, CA, USA","institution_ids":[]},{"raw_affiliation_string":"Laboratory for Computer Science, MIT, 02139, Cambridge, MA, USA","institution_ids":[]},{"raw_affiliation_string":"Laboratory for Computer Science, MIT, Cambridge, USA","institution_ids":[]},{"raw_affiliation_string":"Computer Science Department, Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038416046","display_name":"John Hershberger","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Hershberger","raw_affiliation_strings":["DEC Systems Research Center, 130 Lytton Avenue, 94301, Palo Alto, CA, USA","DEC Systems Research Center, Palo Alto, USA"],"affiliations":[{"raw_affiliation_string":"DEC Systems Research Center, 130 Lytton Avenue, 94301, Palo Alto, CA, USA","institution_ids":[]},{"raw_affiliation_string":"DEC Systems Research Center, Palo Alto, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055296785","display_name":"Micha Sharir","orcid":"https://orcid.org/0000-0002-2541-3763"},"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"]},{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"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":["IL","US"],"is_corresponding":false,"raw_author_name":"M. Sharir","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY, USA","School of Mathematical Sciences, Tel Aviv University, 69 978, Ramat Aviv, Israel","School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel","Courant Institute of Mathematical Sciences, New York University, New York, USA"],"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, 69 978, Ramat Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074061303","display_name":"Jack Snoeyink","orcid":"https://orcid.org/0000-0002-3887-4008"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Snoeyink","raw_affiliation_strings":["Computer Science Department, Stanford University, 94305-4055, Stanford, CA, USA","Computer Science Department, Stanford University Stanford, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Stanford University, 94305-4055, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Computer Science Department, Stanford University Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5044565966"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.1467,"has_fulltext":false,"cited_by_count":173,"citation_normalized_percentile":{"value":0.90176678,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"12","issue":"1","first_page":"54","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9984999895095825,"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/T11106","display_name":"Data Management and Algorithms","score":0.996399998664856,"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/combinatorics","display_name":"Combinatorics","score":0.6945762634277344},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6751710772514343},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6274564266204834},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6154817342758179},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.5421425104141235},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.5103270411491394},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.5027971267700195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.481808602809906},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.4560239017009735},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4435785412788391},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4293980598449707},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42665421962738037},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4196544587612152},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34995850920677185},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15565302968025208},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.15343070030212402},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07326474785804749}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6945762634277344},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6751710772514343},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6274564266204834},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6154817342758179},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.5421425104141235},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.5103270411491394},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.5027971267700195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.481808602809906},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.4560239017009735},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4435785412788391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4293980598449707},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42665421962738037},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4196544587612152},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34995850920677185},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15565302968025208},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.15343070030212402},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07326474785804749},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01377183","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01377183","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"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":24,"referenced_works":["https://openalex.org/W41435888","https://openalex.org/W1550098107","https://openalex.org/W1996036165","https://openalex.org/W2004884735","https://openalex.org/W2005314985","https://openalex.org/W2009530930","https://openalex.org/W2011999472","https://openalex.org/W2029814178","https://openalex.org/W2032159439","https://openalex.org/W2032605149","https://openalex.org/W2033775003","https://openalex.org/W2038699153","https://openalex.org/W2046946959","https://openalex.org/W2048802156","https://openalex.org/W2065349813","https://openalex.org/W2088617781","https://openalex.org/W2106413026","https://openalex.org/W2126876121","https://openalex.org/W2128830892","https://openalex.org/W2132026455","https://openalex.org/W2132339863","https://openalex.org/W2132445073","https://openalex.org/W2475478067","https://openalex.org/W2911302472"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W53644101","https://openalex.org/W2075002099","https://openalex.org/W1506581758","https://openalex.org/W4293863878","https://openalex.org/W1963624385","https://openalex.org/W2186787857","https://openalex.org/W1538329849","https://openalex.org/W2904249403","https://openalex.org/W2056884694"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":8},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}