{"id":"https://openalex.org/W2051679640","doi":"https://doi.org/10.1145/2601097.2601104","title":"High-order similarity relations in radiative transfer","display_name":"High-order similarity relations in radiative transfer","publication_year":2014,"publication_date":"2014-07-22","ids":{"openalex":"https://openalex.org/W2051679640","doi":"https://doi.org/10.1145/2601097.2601104","mag":"2051679640"},"language":"en","primary_location":{"id":"doi:10.1145/2601097.2601104","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2601097.2601104","pdf_url":null,"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":["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/A5057808448","display_name":"Shuang Zhao","orcid":"https://orcid.org/0000-0003-4759-0514"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shuang Zhao","raw_affiliation_strings":["Cornell University"],"affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034754633","display_name":"Ravi Ramamoorthi","orcid":"https://orcid.org/0000-0003-3993-5789"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ravi Ramamoorthi","raw_affiliation_strings":["University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087263986","display_name":"Kavita Bala","orcid":"https://orcid.org/0000-0001-9761-6503"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kavita Bala","raw_affiliation_strings":["Cornell University"],"affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057808448"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":10.0872,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.97976974,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"33","issue":"4","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T10977","display_name":"Optical Imaging and Spectroscopy Techniques","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9835000038146973,"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/rendering","display_name":"Rendering (computer graphics)","score":0.7133815288543701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.592073380947113},{"id":"https://openalex.org/keywords/radiative-transfer","display_name":"Radiative transfer","score":0.5421070456504822},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5199790596961975},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.466299444437027},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.45364120602607727},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44229042530059814},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4153749346733093},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36653679609298706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3664064407348633},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3328523337841034},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27630361914634705},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20123380422592163},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16372179985046387},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11605030298233032}],"concepts":[{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.7133815288543701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.592073380947113},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.5421070456504822},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5199790596961975},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.466299444437027},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.45364120602607727},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44229042530059814},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4153749346733093},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36653679609298706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3664064407348633},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3328523337841034},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27630361914634705},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20123380422592163},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16372179985046387},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11605030298233032}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2601097.2601104","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2601097.2601104","pdf_url":null,"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:escholarship.org/ark:/13030/qt9757j7x2","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/9757j7x2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, vol 33, iss 4","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4056496257","display_name":null,"funder_award_id":"IIS 1011832, IIS 1011919, IIS 1161645","funder_id":"https://openalex.org/F4320337389","funder_display_name":"Division of Information and Intelligent Systems"}],"funders":[{"id":"https://openalex.org/F4320307102","display_name":"Intel Corporation","ror":"https://ror.org/01ek73717"},{"id":"https://openalex.org/F4320337389","display_name":"Division of Information and Intelligent Systems","ror":"https://ror.org/053a2cp42"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1486787228","https://openalex.org/W1502436580","https://openalex.org/W1552813311","https://openalex.org/W1559769428","https://openalex.org/W1573293896","https://openalex.org/W1586008554","https://openalex.org/W1970077830","https://openalex.org/W1980601110","https://openalex.org/W1984786105","https://openalex.org/W1992290308","https://openalex.org/W1993200481","https://openalex.org/W1999182952","https://openalex.org/W2003526930","https://openalex.org/W2003537776","https://openalex.org/W2008429291","https://openalex.org/W2008857034","https://openalex.org/W2026058811","https://openalex.org/W2028104496","https://openalex.org/W2034158625","https://openalex.org/W2073278071","https://openalex.org/W2082878347","https://openalex.org/W2087719434","https://openalex.org/W2088255295","https://openalex.org/W2090346540","https://openalex.org/W2108181829","https://openalex.org/W2120448006","https://openalex.org/W2131413095","https://openalex.org/W2152859945","https://openalex.org/W2156566307","https://openalex.org/W2158627284","https://openalex.org/W2614520205","https://openalex.org/W2995136929","https://openalex.org/W3135227555","https://openalex.org/W3138069334","https://openalex.org/W3138161122","https://openalex.org/W3138218344","https://openalex.org/W4210545731","https://openalex.org/W4229523108","https://openalex.org/W4237648096","https://openalex.org/W6679468743","https://openalex.org/W6791602009"],"related_works":["https://openalex.org/W2611639027","https://openalex.org/W4386555858","https://openalex.org/W2582295320","https://openalex.org/W2210727713","https://openalex.org/W2050857945","https://openalex.org/W4386798815","https://openalex.org/W2174759944","https://openalex.org/W2060809589","https://openalex.org/W2083599106","https://openalex.org/W2152452639"],"abstract_inverted_index":{"Radiative":[0],"transfer":[1],"equations":[2],"(RTEs)":[3],"with":[4],"different":[5],"scattering":[6,35,99],"parameters":[7,94],"can":[8],"lead":[9],"to":[10,41,89,141,195],"identical":[11],"solution":[12],"radiance":[13],"fields.":[14],"Similarity":[15],"theory":[16,78,180],"studies":[17],"this":[18,204],"effect":[19],"by":[20],"introducing":[21],"a":[22,32,57,86,104,160,197],"hierarchy":[23],"of":[24,34,60,70,114,124,149,173,200],"equivalence":[25],"relations":[26,140],"called":[27],"\"similarity":[28],"relations\".":[29],"Unfortunately,":[30],"given":[31],"set":[33],"parameters,":[36],"it":[37],"remains":[38],"unclear":[39],"how":[40],"find":[42],"altered":[43,93],"ones":[44],"satisfying":[45],"these":[46],"relations,":[47],"significantly":[48],"limiting":[49],"the":[50,68,71,77,92,96,111,165,171,193],"theory's":[51],"practical":[52,112],"value.":[53],"This":[54],"paper":[55],"presents":[56],"complete":[58],"exposition":[59],"similarity":[61,139,179],"theory,":[62],"which":[63,163],"provides":[64],"fundamental":[65],"insights":[66],"into":[67],"structure":[69],"RTE's":[72],"parameter":[73,166],"space.":[74],"To":[75],"utilize":[76],"in":[79,203],"its":[80],"general":[81],"high-order":[82],"form,":[83],"we":[84,134,158],"introduce":[85],"new":[87],"approach":[88,162,191],"solve":[90],"for":[91,145,183],"including":[95],"absorption":[97],"and":[98,121,133,152,168,185,189],"coefficients":[100],"as":[101,103],"well":[102],"fully":[105],"tabulated":[106],"phase":[107],"function.":[108],"We":[109,177],"demonstrate":[110],"utility":[113],"our":[115,130,190],"work":[116],"using":[117],"two":[118],"applications:":[119],"forward":[120],"inverse":[122,156],"rendering":[123,128,148],"translucent":[125],"media.":[126],"Forward":[127],"is":[129,181],"main":[131],"application,":[132],"develop":[135],"an":[136],"algorithm":[137],"exploiting":[138],"offer":[142],"\"free\"":[143],"speedups":[144],"Monte":[146],"Carlo":[147],"optically":[150],"dense":[151],"forward-scattering":[153],"materials.":[154],"For":[155],"rendering,":[157],"propose":[159],"proof-of-concept":[161],"warps":[164],"space":[167],"greatly":[169],"improves":[170],"efficiency":[172],"gradient":[174],"descent":[175],"algorithms.":[176],"believe":[178],"important":[182],"simulating":[184],"acquiring":[186],"volume-based":[187],"appearance,":[188],"has":[192],"potential":[194],"benefit":[196],"wide":[198],"range":[199],"future":[201],"applications":[202],"area.":[205]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}