{"id":"https://openalex.org/W7167287310","doi":"https://doi.org/10.1145/3811309","title":"Mat\u00e9rn Noise for Triangulation-Agnostic Flow Matching on Meshes","display_name":"Mat\u00e9rn Noise for Triangulation-Agnostic Flow Matching on Meshes","publication_year":2026,"publication_date":"2026-07-03","ids":{"openalex":"https://openalex.org/W7167287310","doi":"https://doi.org/10.1145/3811309"},"language":"en","primary_location":{"id":"doi:10.1145/3811309","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811309","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":"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://doi.org/10.1145/3811309","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036278697","display_name":"Tianshu Kuai","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164802","display_name":"Mila - Quebec Artificial Intelligence Institute","ror":"https://ror.org/05c22rx21","country_code":"CA","type":"facility","lineage":["https://openalex.org/I4210164802"]},{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tianshu Kuai","raw_affiliation_strings":["Mila, Montreal, Canada","Universit\u00e9 de Montr\u00e9al, Montreal, Canada"],"raw_orcid":"https://orcid.org/0009-0007-9880-1293","affiliations":[{"raw_affiliation_string":"Mila, Montreal, Canada","institution_ids":["https://openalex.org/I4210164802"]},{"raw_affiliation_string":"Universit\u00e9 de Montr\u00e9al, Montreal, Canada","institution_ids":["https://openalex.org/I70931966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088534461","display_name":"Arman Maesumi","orcid":"https://orcid.org/0000-0001-7898-8061"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arman Maesumi","raw_affiliation_strings":["Brown University, Providence, USA"],"raw_orcid":"https://orcid.org/0000-0001-7898-8061","affiliations":[{"raw_affiliation_string":"Brown University, Providence, USA","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005034184","display_name":"Daniel Ritchie","orcid":"https://orcid.org/0000-0002-8253-0069"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Ritchie","raw_affiliation_strings":["Brown University, Providence, USA"],"raw_orcid":"https://orcid.org/0000-0002-8253-0069","affiliations":[{"raw_affiliation_string":"Brown University, Providence, USA","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012021206","display_name":"Noam Aigerman","orcid":"https://orcid.org/0000-0002-9116-4662"},"institutions":[{"id":"https://openalex.org/I4210164802","display_name":"Mila - Quebec Artificial Intelligence Institute","ror":"https://ror.org/05c22rx21","country_code":"CA","type":"facility","lineage":["https://openalex.org/I4210164802"]},{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Noam Aigerman","raw_affiliation_strings":["Mila, Montreal, Canada","Universit\u00e9 de Montr\u00e9al, Montreal, Canada"],"raw_orcid":"https://orcid.org/0000-0002-9116-4662","affiliations":[{"raw_affiliation_string":"Mila, Montreal, Canada","institution_ids":["https://openalex.org/I4210164802"]},{"raw_affiliation_string":"Universit\u00e9 de Montr\u00e9al, Montreal, Canada","institution_ids":["https://openalex.org/I70931966"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.87961493,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"4","first_page":"1","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9085000157356262,"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"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9085000157356262,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.031099999323487282,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.008299999870359898,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7925999760627747},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5820000171661377},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5809000134468079},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5175999999046326},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4374000132083893},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4262999892234802},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.40380001068115234},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.38449999690055847}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7925999760627747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6266999840736389},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5820000171661377},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5809000134468079},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5296000242233276},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5175999999046326},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4374000132083893},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4262999892234802},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.40380001068115234},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.38449999690055847},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.383899986743927},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3797000050544739},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.3653999865055084},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3598000109195709},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.3361000120639801},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.30410000681877136},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3000999987125397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29739999771118164},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.2808000147342682},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2727000117301941},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27070000767707825},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.26489999890327454},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.25360000133514404}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3811309","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811309","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":"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"}],"best_oa_location":{"id":"doi:10.1145/3811309","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811309","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":"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/G1752677745","display_name":null,"funder_award_id":"361570","funder_id":"https://openalex.org/F4320334841","funder_display_name":"Fonds de recherche du Qu\u00e9bec \u2013 Nature et technologies"},{"id":"https://openalex.org/G3553009756","display_name":null,"funder_award_id":"RGPIN-2024-04605","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G3641473294","display_name":null,"funder_award_id":"365040","funder_id":"https://openalex.org/F4320334841","funder_display_name":"Fonds de recherche du Qu\u00e9bec \u2013 Nature et technologies"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334841","display_name":"Fonds de recherche du Qu\u00e9bec \u2013 Nature et technologies","ror":"https://ror.org/00b9f9778"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W55912154","https://openalex.org/W1837874438","https://openalex.org/W1966832848","https://openalex.org/W1967554269","https://openalex.org/W1975446953","https://openalex.org/W1984159596","https://openalex.org/W1994393928","https://openalex.org/W2023661891","https://openalex.org/W2047161559","https://openalex.org/W2051448670","https://openalex.org/W2084703771","https://openalex.org/W2100657858","https://openalex.org/W2294525702","https://openalex.org/W2948978827","https://openalex.org/W2962928839","https://openalex.org/W2985840885","https://openalex.org/W2986615800","https://openalex.org/W3037732309","https://openalex.org/W3048473624","https://openalex.org/W3048889784","https://openalex.org/W3109714756","https://openalex.org/W3159926201","https://openalex.org/W3164424517","https://openalex.org/W3174272952","https://openalex.org/W3179709349","https://openalex.org/W3187425367","https://openalex.org/W3195745231","https://openalex.org/W4200036674","https://openalex.org/W4252351258","https://openalex.org/W4286611166","https://openalex.org/W4306733841","https://openalex.org/W4311806299","https://openalex.org/W4312933868","https://openalex.org/W4313041309","https://openalex.org/W4385527421","https://openalex.org/W4386076086","https://openalex.org/W4387634855","https://openalex.org/W4391458261","https://openalex.org/W4400582020","https://openalex.org/W4400822286","https://openalex.org/W4402726963","https://openalex.org/W4402753635","https://openalex.org/W4403443947","https://openalex.org/W4409087605","https://openalex.org/W4412595426","https://openalex.org/W4412673604","https://openalex.org/W4413144694","https://openalex.org/W4413146491","https://openalex.org/W4413146851","https://openalex.org/W4413556706","https://openalex.org/W4413556778","https://openalex.org/W4413557507","https://openalex.org/W4416999724","https://openalex.org/W7133182978","https://openalex.org/W7133216366","https://openalex.org/W7133223716","https://openalex.org/W7160129950"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1,32],"tackles":[2],"the":[3,18,31,34,59,139,153,156,196],"task":[4],"of":[5,92,95,106,173,182,189],"learning":[6,148],"to":[7,24,39,55,70,80,138,179],"generate":[8],"signals":[9,149],"over":[10,190],"triangle":[11],"meshes":[12,26,151,188],"in":[13,152,198],"a":[14,40,47,76,82,89,104,107,113,122,144],"triangulation-agnostic":[15,42,77,140],"manner,":[16],"meaning":[17],"trained":[19],"model":[20],"can":[21],"be":[22,56,81,180],"applied":[23],"different":[25],"and":[27,120,124,135,170,200],"triangulations":[28],"effectively.":[29],"Practically,":[30],"adapts":[33],"flow":[35],"matching":[36],"(FM)":[37],"paradigm":[38],"mesh-based,":[41],"setting.":[43],"Theoretically,":[44],"it":[45,130],"proposes":[46],"specific":[48,108],"noise":[49,65,133],"distribution":[50,78],"which":[51],"is":[52,177],"triangulation":[53,93],"agnostic,":[54],"used":[57],"inside":[58],"FM":[60,137],"model's":[61],"denoising":[62],"process.":[63],"While":[64],"distributions":[66],"are":[67],"usually":[68],"trivial":[69],"devise":[71],"for,":[72],"e.g.,":[73],"images,":[74],"devising":[75],"proves":[79],"much":[83],"more":[84],"difficult":[85],"task.":[86],"We":[87,100,128,158],"formulate":[88],"mathematical":[90],"definition":[91],"agnosticism":[94],"distributions,":[96],"via":[97],"their":[98],"spectrum.":[99],"then":[101],"show":[102],"that":[103],"discretization":[105],"Gaussian":[109],"random":[110],"field":[111],"called":[112],"Mat\u00e9rn":[114],"process":[115],"holds":[116],"these":[117],"desired":[118],"properties,":[119],"provides":[121],"simple":[123],"efficient":[125],"sampling":[126,166],"algorithm.":[127],"use":[129],"as":[131,165],"our":[132],"model,":[134],"adapt":[136],"setting":[141],"by":[142],"using":[143],"state-of-the-art":[145,197],"approach":[146],"for":[147,187],"on":[150,161],"gradient":[154],"domain\u2014PoissonNet\u2014as":[155],"denoiser.":[157],"conduct":[159],"experiments":[160],"elaborate":[162],"tasks":[163],"such":[164],"elastic":[167],"rest":[168],"states,":[169],"generating":[171],"poses":[172],"humanoids.":[174],"Our":[175],"method":[176],"shown":[178],"capable":[181],"producing":[183],"highly":[184],"realistic":[185],"results":[186],"one":[191],"million":[192],"triangles,":[193],"significantly":[194],"exceeding":[195],"quality":[199],"diversity.":[201]},"counts_by_year":[],"updated_date":"2026-07-04T06:14:54.683239","created_date":"2026-07-04T00:00:00"}
