{"id":"https://openalex.org/W1586849763","doi":"https://doi.org/10.2312/localchapterevents/tpcg/tpcg10/083-090","title":"Approximating Poisson Disk Distributions by Means of a Stochastic Dither Array","display_name":"Approximating Poisson Disk Distributions by Means of a Stochastic Dither Array","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1586849763","doi":"https://doi.org/10.2312/localchapterevents/tpcg/tpcg10/083-090","mag":"1586849763"},"language":"en","primary_location":{"id":"doi:10.2312/localchapterevents/tpcg/tpcg10/083-090","is_oa":true,"landing_page_url":"https://doi.org/10.2312/localchapterevents/tpcg/tpcg10/083-090","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/localchapterevents/tpcg/tpcg10/083-090","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050095514","display_name":"Jennifer R. Alford","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alford, Jennifer R.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5048008654","display_name":"David G. Sheppard","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sheppard, David G.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"83","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.6218419075012207},{"id":"https://openalex.org/keywords/dither","display_name":"Dither","score":0.5511033535003662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5299127101898193},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3807232081890106},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29185935854911804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26923948526382446},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2575312554836273},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.07331404089927673}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6218419075012207},{"id":"https://openalex.org/C70451592","wikidata":"https://www.wikidata.org/wiki/Q376493","display_name":"Dither","level":3,"score":0.5511033535003662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5299127101898193},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3807232081890106},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29185935854911804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26923948526382446},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2575312554836273},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.07331404089927673},{"id":"https://openalex.org/C9083635","wikidata":"https://www.wikidata.org/wiki/Q2133535","display_name":"Noise shaping","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2312/localchapterevents/tpcg/tpcg10/083-090","is_oa":true,"landing_page_url":"https://doi.org/10.2312/localchapterevents/tpcg/tpcg10/083-090","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null},{"id":"mag:1586849763","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/tpcg/tpcg2010.html#AlfordS10","pdf_url":null,"source":{"id":"https://openalex.org/S4306533090","display_name":"TPCG","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"TPCG","raw_type":null}],"best_oa_location":{"id":"doi:10.2312/localchapterevents/tpcg/tpcg10/083-090","is_oa":true,"landing_page_url":"https://doi.org/10.2312/localchapterevents/tpcg/tpcg10/083-090","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2763579376","https://openalex.org/W1548496616","https://openalex.org/W1450591065","https://openalex.org/W2123849019","https://openalex.org/W1491024554","https://openalex.org/W2728086044","https://openalex.org/W1501749050","https://openalex.org/W769374300","https://openalex.org/W1539392299","https://openalex.org/W1558492143","https://openalex.org/W2276428438","https://openalex.org/W2838323285","https://openalex.org/W1505149991","https://openalex.org/W2824561939","https://openalex.org/W1579764669","https://openalex.org/W3007223939","https://openalex.org/W2815781823","https://openalex.org/W2276246060","https://openalex.org/W2734073034","https://openalex.org/W2727077865"],"abstract_inverted_index":{"Achieving":[0],"blue":[1],"noise":[2],"point":[3,51,105,161],"set":[4],"distributions":[5,106],"has":[6,25,37,56],"been":[7],"a":[8],"common":[9],"goal":[10],"of":[11,48,70,84,90,107,114,131,159,166,175,183],"two":[12,95],"largely":[13,27],"separate":[14],"research":[15,24,36],"communities:":[16],"computer":[17,54,99],"graphics":[18,23,55,78],"and":[19,63,80,110,137],"digital":[20,71,91],"halftoning.":[21],"Computer":[22],"focused":[26,38],"on":[28,39],"geometric":[29],"solutions":[30,42],"in":[31,43,53,98],"continuous":[32],"spaces.":[33],"Digital":[34],"halftoning":[35,72,92],"signal":[40],"processing":[41],"discrete":[44],"imagebased":[45],"space.":[46],"Usage":[47],"Poisson":[49,103],"Disk":[50,104],"sets":[52],"grown":[57],"beyond":[58],"sampling,":[59],"including":[60],"object":[61],"distribution":[62],"texturing,":[64],"among":[65],"others.":[66],"The":[67],"image-based":[68],"field":[69,123],"can":[73],"provide":[74],"additional":[75],"tools":[76],"for":[77],"researchers":[79],"practitioners.":[81],"It":[82],"is":[83,178],"interest":[85],"to":[86,94,142,171],"explore":[87],"the":[88,132,147,156,160,164],"suitability":[89],"technology":[93],"classic":[96],"problems":[97],"graphics:":[100],"(1)":[101],"approximating":[102],"constant":[108],"density":[109],"(2)":[111],"importance":[112,117],"sampling":[113],"an":[115],"underlying":[116],"function.":[118],"Exemplary":[119],"methods":[120],"from":[121],"each":[122],"are":[124,140,149],"implemented":[125],"and,":[126],"by":[127],"applying":[128],"well-established":[129],"measures":[130],"radially":[133],"averaged":[134],"power":[135],"spectrum":[136],"anisotropy":[138],"plots,":[139],"shown":[141,179],"be":[143],"quite":[144],"similar,":[145],"although":[146],"approaches":[148],"mathematically":[150],"not":[151],"equivalent.":[152],"Additionally,":[153],"we":[154],"compare":[155],"relative":[157],"radius":[158],"sets.":[162],"Further,":[163],"ability":[165],"dither":[167],"array":[168],"construction":[169],"techniques":[170],"shape":[172],"spectral":[173],"characteristics":[174],"dot":[176],"patterns":[177],"with":[180],"several":[181],"variations":[182],"design":[184],"parameters.":[185]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
