{"id":"https://openalex.org/W2465633026","doi":"https://doi.org/10.1145/2897824.2925880","title":"Subdivision exterior calculus for geometry processing","display_name":"Subdivision exterior calculus for geometry processing","publication_year":2016,"publication_date":"2016-07-11","ids":{"openalex":"https://openalex.org/W2465633026","doi":"https://doi.org/10.1145/2897824.2925880","mag":"2465633026"},"language":"en","primary_location":{"id":"doi:10.1145/2897824.2925880","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2897824.2925880","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/A5011791524","display_name":"Fernando de Goes","orcid":"https://orcid.org/0009-0007-7331-0674"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fernando de Goes","raw_affiliation_strings":["Pixar Animation Studios"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pixar Animation Studios","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022153785","display_name":"Mathieu Desbrun","orcid":"https://orcid.org/0000-0003-3424-6079"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mathieu Desbrun","raw_affiliation_strings":["Caltech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Caltech","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045333410","display_name":"Mark Meyer","orcid":"https://orcid.org/0009-0004-3607-8966"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mark Meyer","raw_affiliation_strings":["Pixar Animation Studios"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pixar Animation Studios","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030916311","display_name":"Tony DeRose","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tony DeRose","raw_affiliation_strings":["Pixar Animation Studios"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pixar Animation Studios","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5832,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.92301969,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"35","issue":"4","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9805999994277954,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9581999778747559,"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/subdivision","display_name":"Subdivision","score":0.8910552263259888},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.7666834592819214},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6170329451560974},{"id":"https://openalex.org/keywords/vector-calculus","display_name":"Vector calculus","score":0.5727227926254272},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5371426343917847},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4980485439300537},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.44860318303108215},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40238434076309204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.402300626039505},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3772343397140503},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30249208211898804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19130980968475342},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.16134050488471985}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.8910552263259888},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.7666834592819214},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6170329451560974},{"id":"https://openalex.org/C5408677","wikidata":"https://www.wikidata.org/wiki/Q200802","display_name":"Vector calculus","level":2,"score":0.5727227926254272},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5371426343917847},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4980485439300537},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.44860318303108215},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40238434076309204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.402300626039505},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3772343397140503},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30249208211898804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19130980968475342},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.16134050488471985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2897824.2925880","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2897824.2925880","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:authors.library.caltech.edu:72346","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20161128-155742047","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"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":68,"referenced_works":["https://openalex.org/W642107583","https://openalex.org/W650215725","https://openalex.org/W1496383623","https://openalex.org/W1510072441","https://openalex.org/W1522382323","https://openalex.org/W1528814089","https://openalex.org/W1556138472","https://openalex.org/W1779884702","https://openalex.org/W1798731418","https://openalex.org/W1968167524","https://openalex.org/W1976715595","https://openalex.org/W1981784948","https://openalex.org/W1994842413","https://openalex.org/W1998103392","https://openalex.org/W2000214666","https://openalex.org/W2000425991","https://openalex.org/W2010030640","https://openalex.org/W2010238342","https://openalex.org/W2010748125","https://openalex.org/W2016863194","https://openalex.org/W2021879624","https://openalex.org/W2028246274","https://openalex.org/W2030798836","https://openalex.org/W2031178395","https://openalex.org/W2034833521","https://openalex.org/W2035953391","https://openalex.org/W2041765521","https://openalex.org/W2044355921","https://openalex.org/W2047767520","https://openalex.org/W2051913886","https://openalex.org/W2052088750","https://openalex.org/W2054361378","https://openalex.org/W2071166325","https://openalex.org/W2083574922","https://openalex.org/W2099945117","https://openalex.org/W2115098939","https://openalex.org/W2117588458","https://openalex.org/W2120103450","https://openalex.org/W2138486270","https://openalex.org/W2144461711","https://openalex.org/W2151833574","https://openalex.org/W2153399947","https://openalex.org/W2163324644","https://openalex.org/W2166522594","https://openalex.org/W2182932938","https://openalex.org/W2223141336","https://openalex.org/W2232750778","https://openalex.org/W2249223245","https://openalex.org/W2249925049","https://openalex.org/W2281897710","https://openalex.org/W2475631044","https://openalex.org/W2486762503","https://openalex.org/W2914105805","https://openalex.org/W2998888370","https://openalex.org/W3008735039","https://openalex.org/W3125178117","https://openalex.org/W3138390653","https://openalex.org/W3138464846","https://openalex.org/W3139268773","https://openalex.org/W4235034873","https://openalex.org/W4236336071","https://openalex.org/W4237713727","https://openalex.org/W4238000648","https://openalex.org/W4239465939","https://openalex.org/W4293102147","https://openalex.org/W6629795034","https://openalex.org/W6631144761","https://openalex.org/W6774592930"],"related_works":["https://openalex.org/W2387884585","https://openalex.org/W2365894372","https://openalex.org/W646807382","https://openalex.org/W2078248985","https://openalex.org/W2377450293","https://openalex.org/W2370429828","https://openalex.org/W2415051010","https://openalex.org/W3083116488","https://openalex.org/W2143665433","https://openalex.org/W2393550435"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3],"new":[4],"computational":[5],"method":[6],"to":[7,28,52],"solve":[8],"differential":[9],"equations":[10],"on":[11,80],"subdivision":[12,30,37],"surfaces.":[13],"Our":[14],"approach":[15],"adapts":[16],"the":[17,26,29,34,74],"numerical":[18],"framework":[19],"of":[20,36,61,78],"Discrete":[21],"Exterior":[22,43],"Calculus":[23,44],"(DEC)":[24],"from":[25],"polygonal":[27,54],"setting":[31],"by":[32],"exploiting":[33],"refin-ability":[35],"basis":[38],"functions.":[39],"The":[40],"resulting":[41],"Subdivision":[42],"(SEC)":[45],"provides":[46],"significant":[47],"improvements":[48],"in":[49],"accuracy":[50],"compared":[51],"existing":[53],"techniques,":[55],"while":[56],"offering":[57],"exact":[58],"finite-dimensional":[59],"analogs":[60],"continuum":[62],"structural":[63],"identities":[64],"such":[65],"as":[66],"Stokes'":[67],"theorem":[68],"and":[69,76,90],"Helmholtz-Hodge":[70],"decomposition.":[71],"We":[72],"demonstrate":[73],"versatility":[75],"efficiency":[77],"SEC":[79],"common":[81],"geometry":[82],"processing":[83],"tasks":[84],"including":[85],"parameterization,":[86],"geodesic":[87],"distance":[88],"computation,":[89],"vector":[91],"field":[92],"design.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}