{"id":"https://openalex.org/W4281489584","doi":"https://doi.org/10.1145/3528233.3530707","title":"ReLU Fields: The Little Non-linearity That Could","display_name":"ReLU Fields: The Little Non-linearity That Could","publication_year":2022,"publication_date":"2022-07-20","ids":{"openalex":"https://openalex.org/W4281489584","doi":"https://doi.org/10.1145/3528233.3530707"},"language":"en","primary_location":{"id":"doi:10.1145/3528233.3530707","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3528233.3530707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Special Interest Group on Computer Graphics and Interactive Techniques Conference Proceedings","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2205.10824","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055048666","display_name":"Animesh Karnewar","orcid":null},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Animesh Karnewar","raw_affiliation_strings":["University College London (UCL), United Kingdom"],"affiliations":[{"raw_affiliation_string":"University College London (UCL), United Kingdom","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084442493","display_name":"Tobias Ritschel","orcid":"https://orcid.org/0000-0002-5843-240X"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tobias Ritschel","raw_affiliation_strings":["University College London (UCL), United Kingdom"],"affiliations":[{"raw_affiliation_string":"University College London (UCL), United Kingdom","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101910386","display_name":"Oliver Wang","orcid":"https://orcid.org/0000-0003-2839-7153"},"institutions":[{"id":"https://openalex.org/I1306409833","display_name":"Adobe Systems (United States)","ror":"https://ror.org/059tvcg64","country_code":"US","type":"company","lineage":["https://openalex.org/I1306409833"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oliver Wang","raw_affiliation_strings":["Adobe Research, United States of America"],"affiliations":[{"raw_affiliation_string":"Adobe Research, United States of America","institution_ids":["https://openalex.org/I1306409833"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058170430","display_name":"Niloy J. Mitra","orcid":"https://orcid.org/0000-0002-2597-0914"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Niloy Mitra","raw_affiliation_strings":["University College London (UCL), United Kingdom"],"affiliations":[{"raw_affiliation_string":"University College London (UCL), United Kingdom","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055048666"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":null,"apc_paid":null,"fwci":26.9086,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.9979927,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9986000061035156,"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/computer-science","display_name":"Computer science","score":0.7830541133880615},{"id":"https://openalex.org/keywords/memory-footprint","display_name":"Memory footprint","score":0.7786294221878052},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.691059947013855},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.6257251501083374},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5949452519416809},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5485811233520508},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5427395105361938},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.4489993155002594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39818474650382996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32921016216278076},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3273637294769287},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.2281053066253662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11665251851081848},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10338816046714783}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7830541133880615},{"id":"https://openalex.org/C74912251","wikidata":"https://www.wikidata.org/wiki/Q6815727","display_name":"Memory footprint","level":2,"score":0.7786294221878052},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.691059947013855},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.6257251501083374},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5949452519416809},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5485811233520508},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5427395105361938},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.4489993155002594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39818474650382996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32921016216278076},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3273637294769287},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2281053066253662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11665251851081848},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10338816046714783},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3528233.3530707","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3528233.3530707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Special Interest Group on Computer Graphics and Interactive Techniques Conference Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2205.10824","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.10824","pdf_url":"https://arxiv.org/pdf/2205.10824","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2205.10824","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.10824","pdf_url":"https://arxiv.org/pdf/2205.10824","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":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W2004850474","https://openalex.org/W2035560123","https://openalex.org/W2059375031","https://openalex.org/W2063777854","https://openalex.org/W2122572959","https://openalex.org/W2158602022","https://openalex.org/W2471962767","https://openalex.org/W2905288042","https://openalex.org/W2962785568","https://openalex.org/W2962849139","https://openalex.org/W2963627347","https://openalex.org/W2963739349","https://openalex.org/W2963926543","https://openalex.org/W2968257580","https://openalex.org/W2997504940","https://openalex.org/W3008102851","https://openalex.org/W3035515538","https://openalex.org/W3084311597","https://openalex.org/W3108325989","https://openalex.org/W3171145773","https://openalex.org/W3190424178","https://openalex.org/W3203806429","https://openalex.org/W3215589927","https://openalex.org/W4214564891","https://openalex.org/W4243855161","https://openalex.org/W4287570469","https://openalex.org/W4287589418","https://openalex.org/W4312453532","https://openalex.org/W6607725495"],"related_works":["https://openalex.org/W2165589608","https://openalex.org/W3093557575","https://openalex.org/W2354231916","https://openalex.org/W3182767856","https://openalex.org/W2162140574","https://openalex.org/W2354073393","https://openalex.org/W2361009070","https://openalex.org/W2121457398","https://openalex.org/W2929170389","https://openalex.org/W2950268673"],"abstract_inverted_index":{"In":[0],"many":[1],"recent":[2],"works,":[3],"multi-layer":[4],"perceptions":[5],"(MLPs)":[6],"have":[7],"been":[8],"shown":[9],"to":[10,28,95],"be":[11],"suitable":[12],"for":[13,100,170],"modeling":[14],"complex":[15,30],"spatially-varying":[16],"functions":[17],"including":[18],"images":[19],"and":[20,35,52,69,112,158,161,168],"3D":[21],"scenes.":[22],"Although":[23],"the":[24,42,47,56,75,92,102,150,171],"MLPs":[25,78,107],"are":[26,173],"able":[27],"represent":[29],"scenes":[31],"with":[32,138,149],"unprecedented":[33],"quality":[34,76],"memory":[36],"footprint,":[37],"this":[38,86,123],"expressive":[39],"power":[40],"of":[41,49,77,106],"MLPs,":[43],"however,":[44],"comes":[45],"at":[46,175],"cost":[48],"long":[50],"training":[51,68],"inference":[53,70],"times.":[54,114],"On":[55],"other":[57],"hand,":[58],"bilinear/trilinear":[59],"interpolation":[60],"on":[61,132,155],"regular":[62],"grid-based":[63,96],"representations":[64,97],"can":[65],"give":[66],"fast":[67,110],"times,":[71],"but":[72],"cannot":[73],"match":[74],"without":[79],"requiring":[80],"significant":[81],"additional":[82],"memory.":[83],"Hence,":[84],"in":[85],"work,":[87],"we":[88,141],"investigate":[89],"what":[90],"is":[91],"smallest":[93],"change":[94,120],"that":[98,121,143],"allows":[99],"retaining":[101],"high":[103],"fidelity":[104],"result":[105],"while":[108],"enabling":[109],"reconstruction":[111],"rendering":[113],"We":[115,152],"introduce":[116],"a":[117,128],"surprisingly":[118],"simple":[119],"achieves":[122],"task":[124],"\u2013":[125],"simply":[126],"allowing":[127],"fixed":[129],"non-linearity":[130],"(ReLU)":[131],"interpolated":[133],"grid":[134],"values.":[135],"When":[136],"combined":[137],"coarse-to-fine":[139],"optimization,":[140],"show":[142],"such":[144],"an":[145],"approach":[146],"becomes":[147],"competitive":[148],"state-of-the-art.":[151],"report":[153],"results":[154],"radiance":[156],"fields,":[157,160],"occupancy":[159],"compare":[162],"against":[163],"multiple":[164],"existing":[165],"alternatives.":[166],"Code":[167],"data":[169],"paper":[172],"available":[174],"https://geometry.cs.ucl.ac.uk/projects/2022/relu_fields.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":34},{"year":2023,"cited_by_count":23},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}