{"id":"https://openalex.org/W1980001782","doi":"https://doi.org/10.1111/1467-8659.1330281","title":"Triangulating multiply\u2010connected polygons: A simple, yet efficient algorithm.","display_name":"Triangulating multiply\u2010connected polygons: A simple, yet efficient algorithm.","publication_year":1994,"publication_date":"1994-08-01","ids":{"openalex":"https://openalex.org/W1980001782","doi":"https://doi.org/10.1111/1467-8659.1330281","mag":"1980001782"},"language":"en","primary_location":{"id":"doi:10.1111/1467-8659.1330281","is_oa":false,"landing_page_url":"https://doi.org/10.1111/1467-8659.1330281","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","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/A5073145610","display_name":"R\u00e9mi Ronfard","orcid":"https://orcid.org/0000-0003-4830-5690"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Remi P. Ronfard","raw_affiliation_strings":["IBM T.J.Watson Research Center P.O.Box 704, Yorktown Heights, NY 10598","IBM T. J. Watson Research Center, P.O. Box 704, Yorktown Heights, NY 10598"],"affiliations":[{"raw_affiliation_string":"IBM T.J.Watson Research Center P.O.Box 704, Yorktown Heights, NY 10598","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM T. J. Watson Research Center, P.O. Box 704, Yorktown Heights, NY 10598","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039380034","display_name":"Jarek Rossignac","orcid":"https://orcid.org/0000-0002-4550-0151"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jarek R. Rossignac","raw_affiliation_strings":["IBM T.J.Watson Research Center P.O.Box 704, Yorktown Heights, NY 10598","IBM T. J. Watson Research Center, P.O. Box 704, Yorktown Heights, NY 10598"],"affiliations":[{"raw_affiliation_string":"IBM T.J.Watson Research Center P.O.Box 704, Yorktown Heights, NY 10598","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM T. J. Watson Research Center, P.O. Box 704, Yorktown Heights, NY 10598","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073145610"],"corresponding_institution_ids":["https://openalex.org/I1341412227"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":0.7867,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.68480565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"3","first_page":"281","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9975000023841858,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.7362312078475952},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5983582735061646},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.587917685508728},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5497354865074158},{"id":"https://openalex.org/keywords/point-in-polygon","display_name":"Point in polygon","score":0.529573917388916},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.5208326578140259},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.5013186931610107},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.49858951568603516},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.44031813740730286},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.42546162009239197},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.42194464802742004},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2603323459625244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2395801842212677},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20574548840522766},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.1852843463420868},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17121663689613342},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.16522854566574097},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.149190753698349}],"concepts":[{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7362312078475952},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5983582735061646},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.587917685508728},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5497354865074158},{"id":"https://openalex.org/C59902600","wikidata":"https://www.wikidata.org/wiki/Q1575331","display_name":"Point in polygon","level":3,"score":0.529573917388916},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.5208326578140259},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.5013186931610107},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.49858951568603516},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.44031813740730286},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.42546162009239197},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.42194464802742004},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2603323459625244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2395801842212677},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20574548840522766},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.1852843463420868},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17121663689613342},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.16522854566574097},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.149190753698349},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"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":2,"locations":[{"id":"doi:10.1111/1467-8659.1330281","is_oa":false,"landing_page_url":"https://doi.org/10.1111/1467-8659.1330281","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},{"id":"pmh:oai:HAL:inria-00545173v1","is_oa":false,"landing_page_url":"https://inria.hal.science/inria-00545173","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://onlinelibrary.wiley.com/doi/10.1111/1467-8659.1330281/abstract","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4300000071525574,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1514914425","https://openalex.org/W1983487792","https://openalex.org/W1985668290","https://openalex.org/W2004389974","https://openalex.org/W2073058919","https://openalex.org/W2088864905","https://openalex.org/W2094658339","https://openalex.org/W2106413026"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W320048716","https://openalex.org/W2102467404","https://openalex.org/W141463223","https://openalex.org/W4297801804","https://openalex.org/W2951545900","https://openalex.org/W53644101","https://openalex.org/W2370449776","https://openalex.org/W2389833224","https://openalex.org/W2135995471"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"present":[2],"a":[3,30,74,104,108,114,128,142,146],"new,":[4],"simple,":[5],"yet":[6],"efficient":[7],"algorithm":[8,14,43],"for":[9,56,127,151],"triangulating":[10],"multiply\u2010connected":[11],"polygons.":[12,132],"The":[13,22,119],"requires":[15],"sorting":[16],"only":[17],"local":[18,75],"concave":[19],"minima":[20],"(sags).":[21],"order":[23],"in":[24,89,165,174],"which":[25,63],"triangles":[26],"are":[27,71],"created":[28],"mimics":[29],"flooding":[31],"process":[32],"of":[33,36,49,64,77,103,131,139,145,167,170],"the":[34,37,42,45,78,86,90,100,162,168],"interior":[35],"polygon.":[38],"At":[39],"each":[40],"stage,":[41],"analyses":[44],"positions":[46],"and":[47,53,112,124,148,154],"neighborhoods":[48],"two":[50],"vertices":[51],"only,":[52],"possibly":[54],"checks":[55],"active":[57],"sags,":[58],"so":[59],"as":[60,141],"to":[61,68,99,116],"determine":[62],"five":[65],"possible":[66],"actions":[67],"take.":[69],"Actions":[70],"based":[72],"on":[73,137],"decomposition":[76],"polygon":[79],"into":[80,94,110],"monotonic":[81],"regions,":[82],"or":[83],"gorges":[84],"(raise":[85],"water":[87],"level":[88],"current":[91],"gorge,":[92,97,106],"spill":[93],"an":[95],"adjacent":[96],"jump":[98],"other":[101],"bank":[102],"filled":[105],"divide":[107],"gorge":[109,115],"two,":[111],"fill":[113],"its":[117],"top).":[118],"implementation":[120],"is":[121],"extremely":[122],"simple":[123],"numerically":[125],"robust":[126],"large":[129],"class":[130],"It":[133],"has":[134],"been":[135],"tested":[136],"millions":[138],"cases":[140],"preprocessing":[143],"step":[144],"walkthrough":[147],"inspection":[149],"program":[150],"complex":[152],"mechanical":[153],"architectural":[155],"scenes.":[156],"Extensive":[157],"experimental":[158],"results":[159],"indicate":[160],"that":[161],"observed":[163],"complexity":[164],"terms":[166],"number":[169],"vertices,":[171],"remains":[172],"under":[173],"all":[175],"cases.":[176]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
