{"id":"https://openalex.org/W4412673708","doi":"https://doi.org/10.1145/3731197","title":"Discrete Torsion of Connection Forms on Simplicial Meshes","display_name":"Discrete Torsion of Connection Forms on Simplicial Meshes","publication_year":2025,"publication_date":"2025-07-27","ids":{"openalex":"https://openalex.org/W4412673708","doi":"https://doi.org/10.1145/3731197"},"language":"en","primary_location":{"id":"doi:10.1145/3731197","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731197","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/10.1145/3731197","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5099097153","display_name":"Theo Braune","orcid":null},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Theo Braune","raw_affiliation_strings":["Inria Saclay, Palaiseau, France","LIX, Ecole Polytechnique, IP Paris, Palaiseau, France"],"raw_orcid":"https://orcid.org/0009-0004-7227-3910","affiliations":[{"raw_affiliation_string":"Inria Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"LIX, Ecole Polytechnique, IP Paris, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Mark Gillespie","orcid":"https://orcid.org/0009-0000-5645-9636"},"institutions":[{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mark Gillespie","raw_affiliation_strings":["Inria Saclay, Palaiseau, France"],"raw_orcid":"https://orcid.org/0009-0000-5645-9636","affiliations":[{"raw_affiliation_string":"Inria Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042762771","display_name":"Yiying Tong","orcid":"https://orcid.org/0000-0002-7929-4333"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yiying Tong","raw_affiliation_strings":["Michigan State University, East Lansing, USA","Michigan State University [East Lansing] (220 Trowbridge Rd \r\nEast Lansing, MI 48824 - United States)"],"raw_orcid":"https://orcid.org/0000-0002-7929-4333","affiliations":[{"raw_affiliation_string":"Michigan State University, East Lansing, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Michigan State University [East Lansing] (220 Trowbridge Rd \r\nEast Lansing, MI 48824 - United States)","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022153785","display_name":"Mathieu Desbrun","orcid":"https://orcid.org/0000-0003-3424-6079"},"institutions":[{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mathieu Desbrun","raw_affiliation_strings":["Inria Saclay, Palaiseau, France"],"raw_orcid":"https://orcid.org/0000-0003-3424-6079","affiliations":[{"raw_affiliation_string":"Inria Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9845,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73964368,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"44","issue":"4","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9988999962806702,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9988999962806702,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9987000226974487,"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":0.9925000071525574,"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":0.7493998408317566},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6695349216461182},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.6421535611152649},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.5553419589996338},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5137823224067688},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.479166179895401},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40959781408309937},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.38435935974121094},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3157883286476135},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16329124569892883}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7493998408317566},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6695349216461182},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.6421535611152649},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.5553419589996338},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5137823224067688},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.479166179895401},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40959781408309937},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38435935974121094},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3157883286476135},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16329124569892883},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3731197","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731197","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"},{"id":"pmh:oai:HAL:hal-05063389v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-05063389","pdf_url":"https://inria.hal.science/hal-05063389v1/file/BGTD25.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, In press, 44 (4), &#x27E8;10.1145/3731197&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1145/3731197","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731197","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":[],"funders":[{"id":"https://openalex.org/F4320319860","display_name":"Institut Polytechnique de Paris","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W72050942","https://openalex.org/W619507912","https://openalex.org/W1574483075","https://openalex.org/W1626653188","https://openalex.org/W2048623002","https://openalex.org/W2054607036","https://openalex.org/W2073696569","https://openalex.org/W2111956571","https://openalex.org/W2153399947","https://openalex.org/W2298062406","https://openalex.org/W2804989797","https://openalex.org/W2956434516","https://openalex.org/W2963934176","https://openalex.org/W2964087796","https://openalex.org/W3101359661","https://openalex.org/W4200255628","https://openalex.org/W4206665192","https://openalex.org/W4211206512","https://openalex.org/W4214709064","https://openalex.org/W4254707034","https://openalex.org/W4296540215","https://openalex.org/W4378506813","https://openalex.org/W4380153360","https://openalex.org/W4385527484","https://openalex.org/W4385766259","https://openalex.org/W4400573539","https://openalex.org/W4400822544"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2087496541","https://openalex.org/W4313703117","https://openalex.org/W2028455732","https://openalex.org/W2085564391","https://openalex.org/W2108615321","https://openalex.org/W1984758362","https://openalex.org/W2042049060","https://openalex.org/W2992936613"],"abstract_inverted_index":{"While":[0],"discrete":[1,24,77,87,118,126,136,148],"(metric)":[2],"connections":[3],"have":[4],"become":[5],"a":[6,23,38,85,91,102,121,131,147,157],"staple":[7],"of":[8,20,22,45,54,101,120,146],"n":[9],"-vector":[10],"field":[11],"design":[12],"and":[13,52,144,154,172,178],"analysis":[14,171],"on":[15],"simplicial":[16],"meshes,":[17],"the":[18,32,42,50,55,60,67,98,117,125,142,161],"notion":[19],"torsion":[21,36,74,119,145],"connection":[25,57,89,100,122,132,149],"has":[26],"remained":[27],"unstudied.":[28],"This":[29],"is":[30,37,107],"all":[31],"more":[33],"surprising":[34],"as":[35],"crucial":[39],"component":[40],"in":[41,82,156,176],"fundamental":[43],"theorem":[44],"Riemannian":[46],"geometry,":[47],"which":[48,130],"introduces":[49],"existence":[51],"uniqueness":[53],"Levi-Civita":[56,88,137],"induced":[58],"by":[59,72,129],"metric.":[61],"In":[62],"this":[63,112],"paper,":[64],"we":[65,115],"extend":[66],"existing":[68],"geometry":[69],"processing":[70],"toolbox":[71],"providing":[73],"control":[75],"over":[76],"connections.":[78],"Our":[79],"approach":[80,168],"consists":[81],"first":[83],"introducing":[84],"new":[86],"for":[90],"metric":[92],"with":[93,160],"locally-constant":[94],"curvature":[95,106,143],"to":[96,123],"replace":[97],"hinge":[99],"triangle":[103],"mesh":[104],"whose":[105],"concentrated":[108],"at":[109],"singularities;":[110],"from":[111,134],"reference":[113],"connection,":[114],"define":[116],"be":[124,152],"dual":[127],"1-form":[128],"deviates":[133],"our":[135,167],"connection.":[138],"We":[139,164],"discuss":[140],"how":[141],"can":[150],"then":[151],"controlled":[153],"assigned":[155],"manner":[158],"consistent":[159],"continuous":[162],"case.":[163],"also":[165],"illustrate":[166],"through":[169],"theoretical":[170],"practical":[173],"examples":[174],"arising":[175],"vector":[177],"frame":[179],"design.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
