{"id":"https://openalex.org/W2143508074","doi":"https://doi.org/10.1142/s0218654309001215","title":"ON 2D SOLID \u03b1-COMPLEXES OF POISSON DISC SAMPLINGS","display_name":"ON 2D SOLID \u03b1-COMPLEXES OF POISSON DISC SAMPLINGS","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2143508074","doi":"https://doi.org/10.1142/s0218654309001215","mag":"2143508074"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654309001215","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654309001215","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"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":"International Journal of Shape Modeling","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/A5078339616","display_name":"Esdras Medeiros","orcid":"https://orcid.org/0000-0003-2873-3583"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"ESDRAS MEDEIROS","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015241528","display_name":"Luiz Velho","orcid":"https://orcid.org/0000-0001-5489-4909"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"LUIZ VELHO","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000881869","display_name":"H\u00e9lio Lopes","orcid":"https://orcid.org/0000-0003-4584-1455"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H\u00c9LIO LOPES","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064293832","display_name":"Thomas Lewiner","orcid":"https://orcid.org/0000-0001-9518-6423"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"THOMAS LEWINER","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078339616"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15178571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"01n02","first_page":"77","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9976999759674072,"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":0.9843999743461609,"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/poisson-distribution","display_name":"Poisson distribution","score":0.7023991346359253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4477361738681793},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22023561596870422}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7023991346359253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4477361738681793},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22023561596870422}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218654309001215","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654309001215","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"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":"International Journal of Shape Modeling","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1486210143","https://openalex.org/W1530047828","https://openalex.org/W1980267728","https://openalex.org/W1988912457","https://openalex.org/W2002053510","https://openalex.org/W2005436751","https://openalex.org/W2029041800","https://openalex.org/W2047099493","https://openalex.org/W2048591084","https://openalex.org/W2065139213","https://openalex.org/W2083005713","https://openalex.org/W2118805711","https://openalex.org/W2122552271","https://openalex.org/W2125250006","https://openalex.org/W2126439213","https://openalex.org/W2146213698","https://openalex.org/W2150575530","https://openalex.org/W2151631165","https://openalex.org/W2153935912","https://openalex.org/W2157370861","https://openalex.org/W2911302472","https://openalex.org/W3041834803","https://openalex.org/W4200283578"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2142036596"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"triangulations":[3],"obtained":[4],"from":[5,50,133],"Poisson":[6,10,68],"disc":[7,11,69],"sampling.":[8],"The":[9],"sampling":[12,70],"strategy":[13],"with":[14,126],"radius":[15],"parameter":[16,64,120],"\u03b1":[17,65,121],"can":[18],"be":[19],"used":[20],"to":[21,124],"obtain":[22],"a":[23,35,47,116],"set":[24],"of":[25,34,101],"points":[26],"in":[27,39,55,82],"the":[28,32,40,62,67,73,80,83,98,119,129,134],"interior":[29],"or":[30,89],"on":[31,118],"boundary":[33],"given":[36],"solid":[37,74,131],"object":[38,132],"plane.":[41],"Using":[42],"this":[43,109],"sampling,":[44],"we":[45,60,76,106,114],"study":[46],"certain":[48],"triangulation":[49],"its":[51],"\u03b1-complex":[52,135],"which":[53,93],"results":[54],"two":[56],"contributions.":[57],"First,":[58],"if":[59],"choose":[61],"same":[63],"for":[66,72],"and":[71],"\u03b1-complex,":[75],"prove":[77,107],"that":[78,108,122],"all":[79],"triangles":[81],"complex":[84],"have":[85],"aspect":[86,99],"ratio":[87,100],"less":[88],"equal":[90],"than":[91],",":[92],"is":[94,111],"only":[95],"three":[96],"times":[97],"an":[102],"equilateral":[103],"triangle.":[104],"Moreover,":[105],"bound":[110],"tight.":[112],"Second,":[113],"establish":[115],"condition":[117],"allows":[123],"recover,":[125],"topological":[127],"guarantees,":[128],"original":[130],"representation.":[136]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
