{"id":"https://openalex.org/W4283078428","doi":"https://doi.org/10.1145/3550454.3555519","title":"Gaussian Blue Noise","display_name":"Gaussian Blue Noise","publication_year":2022,"publication_date":"2022-11-30","ids":{"openalex":"https://openalex.org/W4283078428","doi":"https://doi.org/10.1145/3550454.3555519"},"language":"en","primary_location":{"id":"doi:10.1145/3550454.3555519","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3550454.3555519","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3550454.3555519","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3550454.3555519","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004059541","display_name":"Abdalla G. M. Ahmed","orcid":"https://orcid.org/0000-0002-2348-6897"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]},{"id":"https://openalex.org/I4210099236","display_name":"Kootenay Association for Science & Technology","ror":"https://ror.org/011pv9p44","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210099236"]}],"countries":["CA","SA"],"is_corresponding":true,"raw_author_name":"Abdalla G. M. Ahmed","raw_affiliation_strings":["KAUST"],"affiliations":[{"raw_affiliation_string":"KAUST","institution_ids":["https://openalex.org/I4210099236","https://openalex.org/I71920554"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jing Ren","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jing Ren","raw_affiliation_strings":["KAUST, KSA and ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"KAUST, KSA and ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076768552","display_name":"Peter Wonka","orcid":"https://orcid.org/0000-0003-0627-9746"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]},{"id":"https://openalex.org/I4210099236","display_name":"Kootenay Association for Science & Technology","ror":"https://ror.org/011pv9p44","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210099236"]}],"countries":["CA","SA"],"is_corresponding":false,"raw_author_name":"Peter Wonka","raw_affiliation_strings":["KAUST"],"affiliations":[{"raw_affiliation_string":"KAUST","institution_ids":["https://openalex.org/I4210099236","https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004059541"],"corresponding_institution_ids":["https://openalex.org/I4210099236","https://openalex.org/I71920554"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05985614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"6","first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.5133000016212463,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.5133000016212463,"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"}},{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.10109999775886536,"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"}},{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.03530000150203705,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6896437406539917},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5945075750350952},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5931090116500854},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5654810667037964},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5286427140235901},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5117588043212891},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5059766173362732},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.5044287443161011},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47723010182380676},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.47286224365234375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2818260192871094},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25315913558006287},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18421697616577148},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10836410522460938}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6896437406539917},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5945075750350952},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5931090116500854},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5654810667037964},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5286427140235901},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5117588043212891},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5059766173362732},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.5044287443161011},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47723010182380676},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.47286224365234375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2818260192871094},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25315913558006287},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18421697616577148},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10836410522460938},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3550454.3555519","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3550454.3555519","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3550454.3555519","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2206.07798","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.07798","pdf_url":"https://arxiv.org/pdf/2206.07798","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:repository.kaust.edu.sa:10754/679155","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/679155","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.2206.07798","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2206.07798","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1145/3550454.3555519","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3550454.3555519","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3550454.3555519","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283078428.pdf","grobid_xml":"https://content.openalex.org/works/W4283078428.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1963721457","https://openalex.org/W1967775161","https://openalex.org/W1969253908","https://openalex.org/W1975498219","https://openalex.org/W1980376149","https://openalex.org/W1980987098","https://openalex.org/W1984609374","https://openalex.org/W1989365484","https://openalex.org/W1996598508","https://openalex.org/W2004105474","https://openalex.org/W2005197983","https://openalex.org/W2006045909","https://openalex.org/W2011172006","https://openalex.org/W2016165013","https://openalex.org/W2019187323","https://openalex.org/W2031141876","https://openalex.org/W2043101875","https://openalex.org/W2046250075","https://openalex.org/W2049153601","https://openalex.org/W2051089395","https://openalex.org/W2054057322","https://openalex.org/W2079749971","https://openalex.org/W2089508486","https://openalex.org/W2094810132","https://openalex.org/W2118558730","https://openalex.org/W2123732640","https://openalex.org/W2144337074","https://openalex.org/W2150593711","https://openalex.org/W2153935912","https://openalex.org/W2164324399","https://openalex.org/W2515400514","https://openalex.org/W2528567655","https://openalex.org/W2554482726","https://openalex.org/W2555850541","https://openalex.org/W2561500936","https://openalex.org/W2736477328","https://openalex.org/W2804784790","https://openalex.org/W2884453589","https://openalex.org/W2921027219","https://openalex.org/W2978596959","https://openalex.org/W3022672042","https://openalex.org/W3032135752","https://openalex.org/W3044076390","https://openalex.org/W3136661314","https://openalex.org/W3137826879","https://openalex.org/W3139527867","https://openalex.org/W3185784336","https://openalex.org/W4230344947","https://openalex.org/W4232416900","https://openalex.org/W4236142490","https://openalex.org/W4247052561","https://openalex.org/W4250638048","https://openalex.org/W4254657132","https://openalex.org/W4301850403"],"related_works":["https://openalex.org/W10351748","https://openalex.org/W4671456","https://openalex.org/W8693236","https://openalex.org/W8028707","https://openalex.org/W4291971","https://openalex.org/W10708617","https://openalex.org/W5726139","https://openalex.org/W5288377","https://openalex.org/W5426223","https://openalex.org/W7639229"],"abstract_inverted_index":{"Among":[0],"the":[1,38,42,46,66],"various":[2],"approaches":[3],"for":[4,14],"producing":[5],"point":[6],"distributions":[7],"with":[8,24],"blue":[9,73],"noise":[10,74],"spectrum,":[11],"we":[12,52,77],"argue":[13],"an":[15,79],"optimization":[16,29],"framework":[17],"using":[18],"Gaussian":[19],"kernels.":[20],"We":[21],"show":[22,53,78],"that":[23,54],"a":[25],"wise":[26],"selection":[27],"of":[28,41],"parameters,":[30],"this":[31],"approach":[32],"attains":[33],"unprecedented":[34,70],"quality,":[35,68],"provably":[36],"surpassing":[37],"current":[39],"state":[40],"art":[43],"attained":[44],"by":[45],"optimal":[47],"transport":[48],"(BNOT)":[49],"approach.":[50],"Further,":[51],"our":[55],"algorithm":[56],"scales":[57],"smoothly":[58],"and":[59],"feasibly":[60],"to":[61,81],"high":[62],"dimensions":[63],"while":[64],"maintaining":[65],"same":[67],"realizing":[69],"high-quality":[71],"high-dimensional":[72],"sets.":[75],"Finally,":[76],"extension":[80],"adaptive":[82],"sampling.":[83]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2022-06-19T00:00:00"}