{"id":"https://openalex.org/W2018403223","doi":"https://doi.org/10.1142/s1793830910000899","title":"A SUCCINCT 3D VISIBILITY SKELETON","display_name":"A SUCCINCT 3D VISIBILITY SKELETON","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2018403223","doi":"https://doi.org/10.1142/s1793830910000899","mag":"2018403223"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830910000899","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830910000899","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00511233","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041225170","display_name":"Sylvain Lazard","orcid":"https://orcid.org/0000-0002-6032-0802"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"id":"https://openalex.org/I4210153302","display_name":"Geometric (India)","ror":"https://ror.org/04xprjz26","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210153302"]}],"countries":["AT","FR","IN"],"is_corresponding":false,"raw_author_name":"SYLVAIN LAZARD","raw_affiliation_strings":["INRIA Nancy Grand Est, LORIA, Nancy, France","Effective Geometric Algorithms for Surfaces and Visibility"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Nancy Grand Est, LORIA, Nancy, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838","https://openalex.org/I4210127166"]},{"raw_affiliation_string":"Effective Geometric Algorithms for Surfaces and Visibility","institution_ids":["https://openalex.org/I4210099593","https://openalex.org/I4210153302"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051520178","display_name":"Christophe Weibel","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"CHRISTOPHE WEIBEL","raw_affiliation_strings":["McGill University, Math Department, Montreal, QC H3A 2K6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University, Math Department, Montreal, QC H3A 2K6, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036116001","display_name":"Sue Whitesides","orcid":null},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"SUE WHITESIDES","raw_affiliation_strings":["University of Victoria, Department of Computer Science, B. C. V8W 3P6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Victoria, Department of Computer Science, B. C. V8W 3P6, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004903384","display_name":"Linqiao Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"LINQIAO ZHANG","raw_affiliation_strings":["McGill University, School of Computer Science, Montreal, QC H3A 2A7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University, School of Computer Science, Montreal, QC H3A 2A7, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10289173,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"02","issue":"04","first_page":"567","last_page":"589"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9993000030517578,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/visibility","display_name":"Visibility","score":0.941447377204895},{"id":"https://openalex.org/keywords/skeleton","display_name":"Skeleton (computer programming)","score":0.8141640424728394},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6875836849212646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6168413758277893},{"id":"https://openalex.org/keywords/rest","display_name":"Rest (music)","score":0.4661138653755188},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3881438970565796},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35533612966537476},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3228520154953003},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.10672885179519653}],"concepts":[{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.941447377204895},{"id":"https://openalex.org/C18969341","wikidata":"https://www.wikidata.org/wiki/Q1169129","display_name":"Skeleton (computer programming)","level":2,"score":0.8141640424728394},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6875836849212646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6168413758277893},{"id":"https://openalex.org/C77265313","wikidata":"https://www.wikidata.org/wiki/Q879844","display_name":"Rest (music)","level":2,"score":0.4661138653755188},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3881438970565796},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35533612966537476},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3228520154953003},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.10672885179519653},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C164705383","wikidata":"https://www.wikidata.org/wiki/Q10379","display_name":"Cardiology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793830910000899","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830910000899","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:inria-00511233v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00511233","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics, Algorithms and Applications, 2010, 2 (4), pp.1-23. &#x27E8;10.1142/S1793830910000899&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00511233v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00511233","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics, Algorithms and Applications, 2010, 2 (4), pp.1-23. &#x27E8;10.1142/S1793830910000899&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W115622331","https://openalex.org/W1506703398","https://openalex.org/W1574628381","https://openalex.org/W1592568352","https://openalex.org/W1597821052","https://openalex.org/W1763430070","https://openalex.org/W1979877896","https://openalex.org/W1988552531","https://openalex.org/W2022083224","https://openalex.org/W2040850259","https://openalex.org/W2055042442","https://openalex.org/W2083046806","https://openalex.org/W2088444809","https://openalex.org/W2089715871","https://openalex.org/W2090847304","https://openalex.org/W2096202410","https://openalex.org/W2133838187","https://openalex.org/W2150921180","https://openalex.org/W2152778332","https://openalex.org/W2158995076","https://openalex.org/W2243804738","https://openalex.org/W4298410530"],"related_works":["https://openalex.org/W2392812199","https://openalex.org/W4200176076","https://openalex.org/W598185802","https://openalex.org/W4388147713","https://openalex.org/W2355516524","https://openalex.org/W2361471170","https://openalex.org/W2025616642","https://openalex.org/W4205145096","https://openalex.org/W2977909229","https://openalex.org/W1954972543"],"abstract_inverted_index":{"The":[0,83],"3D":[1,18],"visibility":[2,12,27,50],"skeleton":[3],"is":[4,22,53,95,103,118],"a":[5,15,46],"data":[6,70],"structure":[7,71],"that":[8,65,100,108],"encodes":[9],"the":[10,49,60,66,69,76,101,106,109,116],"global":[11,26],"information":[13],"of":[14,17,48,59,68,92],"set":[16],"objects.":[19],"While":[20],"it":[21],"useful":[23],"in":[24,90,105],"answering":[25],"queries,":[28],"its":[29,34],"large":[30],"size":[31],"often":[32],"limits":[33],"practical":[35],"use.":[36],"In":[37],"this":[38,42],"paper,":[39],"we":[40,88],"address":[41],"issue":[43],"by":[44],"proposing":[45],"subset":[47,77,102,117],"skeleton,":[51],"which":[52,87],"empirically":[54],"about":[55],"25%":[56],"to":[57,113],"50%":[58],"whole":[61],"set.":[62],"We":[63,97],"show":[64],"rest":[67],"can":[72],"be":[73],"recovered":[74],"from":[75],"as":[78],"needed,":[79],"partially":[80],"or":[81],"completely.":[82],"running":[84],"time":[85],"complexity,":[86],"analyze":[89],"terms":[91],"output":[93],"size,":[94],"efficient.":[96],"also":[98],"prove":[99],"minimal":[104],"sense":[107],"complexity":[110],"bound":[111],"ceases":[112],"hold":[114],"if":[115],"restricted":[119],"further.":[120]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
