{"id":"https://openalex.org/W1964772475","doi":"https://doi.org/10.1111/j.1467-8659.2009.01645.x","title":"Fast High\u2010Dimensional Filtering Using the Permutohedral Lattice","display_name":"Fast High\u2010Dimensional Filtering Using the Permutohedral Lattice","publication_year":2010,"publication_date":"2010-05-01","ids":{"openalex":"https://openalex.org/W1964772475","doi":"https://doi.org/10.1111/j.1467-8659.2009.01645.x","mag":"1964772475"},"language":"en","primary_location":{"id":"doi:10.1111/j.1467-8659.2009.01645.x","doi":"https://doi.org/10.1111/j.1467-8659.2009.01645.x","is_oa":false,"landing_page_url":"https://doi.org/10.1111/j.1467-8659.2009.01645.x","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-b","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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":null,"display_name":"Andrew Adams","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Adams","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109632355","display_name":"Jongmin Baek","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jongmin Baek","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029795609","display_name":"Myers Abraham Davis","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Myers Abraham Davis","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":24.7491,"has_fulltext":false,"cited_by_count":397,"citation_normalized_percentile":{"value":0.99742355,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"29","issue":"2","first_page":"753","last_page":"762"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.5570999979972839,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.5570999979972839,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.28690001368522644,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.06629999727010727,"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/bilateral-filter","display_name":"bilateral filter","score":0.9700000286102295},{"id":"https://openalex.org/keywords/non-local-means-filter","display_name":"non-local means","score":0.9750000238418579},{"id":"https://openalex.org/keywords/simplices","display_name":"simplices","score":0.5669999718666077},{"id":"https://openalex.org/keywords/image-filtering","display_name":"image filtering","score":0.5580000281333923}],"concepts":[{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6834927201271057},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6743810176849365},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.6575298309326172},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.613787829875946},{"id":"https://openalex.org/C3019722297","wikidata":"https://www.wikidata.org/wiki/Q4440864","display_name":"High dimensional","level":2,"score":0.6007863879203796},{"id":"https://openalex.org/C111104540","wikidata":"https://www.wikidata.org/wiki/Q1807061","display_name":"Lattice phase equaliser","level":3,"score":0.5922124981880188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5901106595993042},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5511297583580017},{"id":"https://openalex.org/C139722471","wikidata":"https://www.wikidata.org/wiki/Q2619517","display_name":"Linear filter","level":3,"score":0.4499661326408386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34479668736457825},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3232951760292053},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.279191255569458},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27468663454055786},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.25179481506347656},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1111/j.1467-8659.2009.01645.x","doi":"https://doi.org/10.1111/j.1467-8659.2009.01645.x","is_oa":false,"landing_page_url":"https://doi.org/10.1111/j.1467-8659.2009.01645.x","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-b","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.163.2294","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.163.2294","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://graphics.stanford.edu/papers/permutohedral/permutohedral.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1515939292","https://openalex.org/W1528144695","https://openalex.org/W1552880964","https://openalex.org/W2002955791","https://openalex.org/W2017399967","https://openalex.org/W2026794295","https://openalex.org/W2030716039","https://openalex.org/W2065533005","https://openalex.org/W2097073572","https://openalex.org/W2097998671","https://openalex.org/W2099046646","https://openalex.org/W2099244020","https://openalex.org/W2104600947","https://openalex.org/W2123145781","https://openalex.org/W2126043703","https://openalex.org/W2130371553","https://openalex.org/W2130754596","https://openalex.org/W2137178097","https://openalex.org/W2137203830","https://openalex.org/W2137901785","https://openalex.org/W2144531167","https://openalex.org/W2147821504","https://openalex.org/W2160451035","https://openalex.org/W2162289995","https://openalex.org/W2162618331","https://openalex.org/W2163168659","https://openalex.org/W2244684328","https://openalex.org/W2998514558","https://openalex.org/W3048857514","https://openalex.org/W3139167831","https://openalex.org/W4241716071","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W2006745239","https://openalex.org/W7097493946","https://openalex.org/W1987844198","https://openalex.org/W4389142017","https://openalex.org/W2754361018","https://openalex.org/W2554954670","https://openalex.org/W3029091766","https://openalex.org/W2137203830","https://openalex.org/W2163887404","https://openalex.org/W2898831787"],"abstract_inverted_index":{"Abstract":[0],"Many":[1],"useful":[2],"algorithms":[3,21],"for":[4],"processing":[5],"images":[6],"and":[7,25,66,79],"geometry":[8],"fall":[9],"under":[10],"the":[11,38,51,76],"general":[12],"framework":[13],"of":[14,20,54,99,102],"high\u2010dimensional":[15,43,56],"Gaussian":[16,57],"filtering.":[17],"This":[18],"family":[19],"includes":[22],"bilateral":[23],"filtering":[24],"non\u2010local":[26],"means.":[27],"We":[28,92],"propose":[29],"a":[30,55,81,97],"new":[31],"way":[32],"to":[33,86,95],"perform":[34],"such":[35],"filters":[36,103],"using":[37],"permutohedral":[39],"lattice,":[40],"which":[41],"tessellates":[42],"space":[44],"with":[45],"uniform":[46],"simplices.":[47],"Our":[48],"algorithm":[49],"is":[50,60,72],"first":[52],"implementation":[53],"filter":[58,77],"that":[59],"both":[61],"linear":[62],"in":[63,68,104],"input":[64],"size":[65],"polynomial":[67],"dimensionality.":[69],"Furthermore":[70],"it":[71],"parameter\u2010free,":[73],"apart":[74],"from":[75],"size,":[78],"achieves":[80],"consistently":[82],"high":[83,106],"accuracy":[84],"relative":[85],"ground":[87],"truth":[88],"(>":[89],"45":[90],"dB).":[91],"use":[93],"this":[94],"demonstrate":[96],"number":[98],"interactive\u2010rate":[100],"applications":[101],"as":[105,107],"eight":[108],"dimensions.":[109]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":28},{"year":2020,"cited_by_count":34},{"year":2019,"cited_by_count":40},{"year":2018,"cited_by_count":40},{"year":2017,"cited_by_count":34},{"year":2016,"cited_by_count":37},{"year":2015,"cited_by_count":30},{"year":2014,"cited_by_count":32},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":15}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
