{"id":"https://openalex.org/W1963850156","doi":"https://doi.org/10.1080/00207169708804585","title":"Intersection removal for simple polygons","display_name":"Intersection removal for simple polygons","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1963850156","doi":"https://doi.org/10.1080/00207169708804585","mag":"1963850156"},"language":"en","primary_location":{"id":"doi:10.1080/00207169708804585","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804585","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5075993449","display_name":"Sumeet Lahorani","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sumeet Lahorani","raw_affiliation_strings":["\n Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India"],"affiliations":[{"raw_affiliation_string":"\n Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088534812","display_name":"Kamala Krithivasan","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kamala Krithivasan","raw_affiliation_strings":["\n Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India"],"affiliations":[{"raw_affiliation_string":"\n Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075993449"],"corresponding_institution_ids":["https://openalex.org/I24676775"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10648148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":"3-4","first_page":"211","last_page":"223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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":0.9997000098228455,"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/T10586","display_name":"Robotic Path Planning Algorithms","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/T11106","display_name":"Data Management and Algorithms","score":0.9914000034332275,"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/simple","display_name":"Simple (philosophy)","score":0.7323178648948669},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.705468475818634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6907532215118408},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6649564504623413},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5877302885055542},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5459156036376953},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5275503993034363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4516935348510742}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7323178648948669},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.705468475818634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6907532215118408},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6649564504623413},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5877302885055542},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5459156036376953},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5275503993034363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4516935348510742},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169708804585","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804585","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":5,"referenced_works":["https://openalex.org/W2075479120","https://openalex.org/W2122859454","https://openalex.org/W2796976177","https://openalex.org/W2911302472","https://openalex.org/W3041834803"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W2165950148","https://openalex.org/W2348909947","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W4292672442","https://openalex.org/W1589381382","https://openalex.org/W961142965"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"two":[2,39],"intersecting":[3],"simple":[4],"polygons":[5,93],"A":[6,31,48],"and":[7,9,32,49,55,75,113,117],"B":[8,22,33,50],"a":[10],"direction,":[11],"\u03b8,":[12],"we":[13],"have":[14],"to":[15],"find":[16],"the":[17,45,59,85,92,95],"minimum":[18],"distance":[19],"by":[20],"which":[21],"should":[23],"be":[24],"translated":[25],"along":[26],"direction":[27],"\u03b8":[28],"so":[29],"that":[30,47,61],"no":[34],"longer":[35],"intersect.":[36],"We":[37],"present":[38],"algorithms":[40,70],"for":[41,44,58],"this":[42],"problem":[43],"case":[46,60],"are":[51,63],"in":[52,64,72,90,100],"2":[53,68],"dimensions":[54],"one":[56],"algorithm":[57,98],"they":[62],"3":[65,77,96],"dimensions.":[66],"The":[67],"dimensional":[69,97],"run":[71],"O(N":[73,76,101],"4)":[74,102],"log":[78],"N)":[79],"time":[80],"respectively":[81],"where":[82],"N":[83],"is":[84],"total":[86],"number":[87],"of":[88,108,111],"vertices":[89],"both":[91],"while":[94],"runs":[99],"time.":[103],"Keywords:":[104],"Computational":[105],"geometrysimple":[106],"polygonsintensity":[107],"collisionC.R.Categories:":[109],"F2.2[Analysis":[110],"Algorithms":[112],"Problem":[114],"Complexity]I.3.5[Computational":[115],"Geometry":[116],"Object":[118],"Modeling]":[119]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
