{"id":"https://openalex.org/W4389334925","doi":"https://doi.org/10.1145/3618330","title":"Warped-Area Reparameterization of Differential Path Integrals","display_name":"Warped-Area Reparameterization of Differential Path Integrals","publication_year":2023,"publication_date":"2023-12-05","ids":{"openalex":"https://openalex.org/W4389334925","doi":"https://doi.org/10.1145/3618330"},"language":"en","primary_location":{"id":"doi:10.1145/3618330","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618330","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618330","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3618330","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042112217","display_name":"Peiyu Xu","orcid":"https://orcid.org/0009-0007-0271-2545"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peiyu Xu","raw_affiliation_strings":["University of California, Irvine, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Irvine, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090575298","display_name":"Sai Praveen Bangaru","orcid":"https://orcid.org/0000-0001-6302-9327"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sai Bangaru","raw_affiliation_strings":["MIT CSAIL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT CSAIL, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076603153","display_name":"Tzu-Mao Li","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tzu-Mao Li","raw_affiliation_strings":["University of California, San Diego, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, San Diego, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057808448","display_name":"Shuang Zhao","orcid":"https://orcid.org/0000-0003-4759-0514"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuang Zhao","raw_affiliation_strings":["University of California, Irvine, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Irvine, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":16.7295,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.99184044,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"42","issue":"6","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9969000220298767,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9922999739646912,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.7524136304855347},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6392275094985962},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6135079264640808},{"id":"https://openalex.org/keywords/path-tracing","display_name":"Path tracing","score":0.5904697179794312},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.5796620845794678},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.4507741928100586},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4501127004623413},{"id":"https://openalex.org/keywords/precomputation","display_name":"Precomputation","score":0.44872987270355225},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4481007754802704},{"id":"https://openalex.org/keywords/importance-sampling","display_name":"Importance sampling","score":0.4345923066139221},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41520076990127563},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35804852843284607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33302241563796997},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2954740524291992},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.2669029235839844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17656469345092773}],"concepts":[{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.7524136304855347},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6392275094985962},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6135079264640808},{"id":"https://openalex.org/C110541219","wikidata":"https://www.wikidata.org/wiki/Q72948","display_name":"Path tracing","level":3,"score":0.5904697179794312},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.5796620845794678},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.4507741928100586},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4501127004623413},{"id":"https://openalex.org/C159379195","wikidata":"https://www.wikidata.org/wiki/Q7239568","display_name":"Precomputation","level":3,"score":0.44872987270355225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4481007754802704},{"id":"https://openalex.org/C52740198","wikidata":"https://www.wikidata.org/wiki/Q1539564","display_name":"Importance sampling","level":3,"score":0.4345923066139221},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41520076990127563},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35804852843284607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33302241563796997},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2954740524291992},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2669029235839844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17656469345092773},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3618330","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618330","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618330","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:dspace.mit.edu:1721.1/153279","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/153279","pdf_url":"https://dspace.mit.edu/bitstream/1721.1/153279/1/3618330.pdf","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Association for Computing Machinery","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1145/3618330","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618330","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618330","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2723273012","display_name":"CHS: Medium: Collaborative Research: Physics and Learning Integration Using Differentiable Rendering","funder_award_id":"1900927","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3101190323","display_name":"Collaborative Research: HCC: Medium: Differentiable Rendering for Computer Graphics","funder_award_id":"2105806","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389334925.pdf","grobid_xml":"https://content.openalex.org/works/W4389334925.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W574204587","https://openalex.org/W2142380402","https://openalex.org/W2324074576","https://openalex.org/W2902812770","https://openalex.org/W2963876827","https://openalex.org/W2985626319","https://openalex.org/W2986860185","https://openalex.org/W3048668559","https://openalex.org/W3048916779","https://openalex.org/W3106721722","https://openalex.org/W3183400282","https://openalex.org/W3183537987","https://openalex.org/W3184289337","https://openalex.org/W3185113610","https://openalex.org/W3186415513","https://openalex.org/W4286611307","https://openalex.org/W4286615931","https://openalex.org/W4286616163","https://openalex.org/W4311034047","https://openalex.org/W4311802207"],"related_works":["https://openalex.org/W3108255099","https://openalex.org/W4206775556","https://openalex.org/W4206595116","https://openalex.org/W2540086564","https://openalex.org/W2553640130","https://openalex.org/W2071553886","https://openalex.org/W4301428160","https://openalex.org/W2135342303","https://openalex.org/W655645366","https://openalex.org/W1991868653"],"abstract_inverted_index":{"Physics-based":[0],"differentiable":[1,140],"rendering":[2,11,124,141,144],"is":[3],"becoming":[4],"increasingly":[5],"crucial":[6],"for":[7],"tasks":[8],"in":[9,105],"inverse":[10,143],"and":[12,23,51,57,73,142],"machine":[13],"learning":[14],"pipelines.":[15],"To":[16],"address":[17],"discontinuities":[18],"caused":[19],"by":[20],"geometric":[21],"boundaries":[22],"occlusion,":[24],"two":[25],"classes":[26,89],"of":[27,87,90,135,150],"methods":[28,35,61],"have":[29],"been":[30],"proposed:":[31],"1)":[32],"the":[33,42,55,59,85,103,106,148],"edge-sampling":[34],"that":[36,62,83,96],"directly":[37],"sample":[38],"light":[39],"paths":[40],"at":[41],"scene":[43],"discontinuity":[44,64,136],"boundaries,":[45],"which":[46],"require":[47],"nontrivial":[48],"data":[49],"structures":[50],"precomputation":[52],"to":[53,70,112,146],"select":[54],"edges,":[56],"2)":[58],"reparameterization":[60,94,104],"avoid":[63],"sampling":[65,134],"but":[66],"are":[67],"currently":[68],"limited":[69],"hemispherical":[71,99],"integrals":[72],"unidirectional":[74],"path":[75,107,129],"tracing.":[76],"We":[77,138],"introduce":[78],"a":[79,110],"new":[80],"mathematical":[81],"formulation":[82],"enjoys":[84],"benefits":[86],"both":[88],"methods.":[91],"Unlike":[92],"previous":[93],"work":[95],"focused":[97],"on":[98],"integral,":[100],"we":[101,118],"derive":[102],"space.":[108],"As":[109],"result,":[111],"estimate":[113],"derivatives":[114],"using":[115],"our":[116,151],"formulation,":[117],"can":[119],"apply":[120],"advanced":[121],"Monte":[122],"Carlo":[123],"methods,":[125],"such":[126],"as":[127],"bidirectional":[128],"tracing,":[130],"while":[131],"avoiding":[132],"explicit":[133],"boundaries.":[137],"show":[139],"results":[145],"demonstrate":[147],"effectiveness":[149],"method.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":16}],"updated_date":"2026-07-04T07:58:01.006859","created_date":"2025-10-10T00:00:00"}