{"id":"https://openalex.org/W2047161559","doi":"https://doi.org/10.1145/2185520.2185526","title":"Functional maps","display_name":"Functional maps","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2047161559","doi":"https://doi.org/10.1145/2185520.2185526","mag":"2047161559"},"language":"en","primary_location":{"id":"doi:10.1145/2185520.2185526","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2185520.2185526","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/A5072368950","display_name":"Maks Ovsjanikov","orcid":"https://orcid.org/0000-0002-5867-4046"},"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/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":"Maks Ovsjanikov","raw_affiliation_strings":["LIX, \u00c9cole Polytechnique","LIX, Ecole Polytechnique#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIX, \u00c9cole Polytechnique","institution_ids":["https://openalex.org/I4210139461"]},{"raw_affiliation_string":"LIX, Ecole Polytechnique#TAB#","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085454645","display_name":"Mirela Ben\u2010Chen","orcid":"https://orcid.org/0000-0002-1732-2327"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mirela Ben-Chen","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036542947","display_name":"Justin Solomon","orcid":"https://orcid.org/0000-0002-7701-7586"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin Solomon","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038005014","display_name":"Adrian Butscher","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adrian Butscher","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065368881","display_name":"Leonidas Guibas","orcid":"https://orcid.org/0000-0002-8315-4886"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leonidas Guibas","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":31.4993,"has_fulltext":false,"cited_by_count":713,"citation_normalized_percentile":{"value":0.9989208,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"31","issue":"4","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9987999796867371,"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":0.9987999796867371,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9987000226974487,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9959999918937683,"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/computer-science","display_name":"Computer science","score":0.5330696702003479},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.52447509765625},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4452385902404785},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.43554091453552246},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.43396157026290894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.429220974445343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4023013114929199}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5330696702003479},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.52447509765625},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4452385902404785},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43554091453552246},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.43396157026290894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.429220974445343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4023013114929199},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2185520.2185526","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2185520.2185526","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6299999952316284,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1811234079","display_name":null,"funder_award_id":"FODAVA 0808515IIS 0914833CCF 1011228","funder_id":"https://openalex.org/F4320337389","funder_display_name":"Division of Information and Intelligent Systems"},{"id":"https://openalex.org/G7668255628","display_name":null,"funder_award_id":"FODAVA 0808515IIS 0914833CCF 1011228","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8108553341","display_name":null,"funder_award_id":"FODAVA 0808515IIS 0914833CCF 1011228","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"},{"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":44,"referenced_works":["https://openalex.org/W1534043326","https://openalex.org/W1575147392","https://openalex.org/W1590776313","https://openalex.org/W1596547119","https://openalex.org/W1626653188","https://openalex.org/W1792027553","https://openalex.org/W1969076082","https://openalex.org/W1989191365","https://openalex.org/W1991405936","https://openalex.org/W2012385660","https://openalex.org/W2029524207","https://openalex.org/W2037149239","https://openalex.org/W2042239476","https://openalex.org/W2049981393","https://openalex.org/W2057101663","https://openalex.org/W2073431710","https://openalex.org/W2076326195","https://openalex.org/W2091791686","https://openalex.org/W2098578926","https://openalex.org/W2100657858","https://openalex.org/W2103296388","https://openalex.org/W2105106232","https://openalex.org/W2106723645","https://openalex.org/W2111949204","https://openalex.org/W2111957157","https://openalex.org/W2121035504","https://openalex.org/W2123487031","https://openalex.org/W2127025496","https://openalex.org/W2136883589","https://openalex.org/W2155957710","https://openalex.org/W2165308258","https://openalex.org/W2166987050","https://openalex.org/W2167551186","https://openalex.org/W2173758409","https://openalex.org/W2962936676","https://openalex.org/W3004739592","https://openalex.org/W3111937800","https://openalex.org/W3137185495","https://openalex.org/W4214714629","https://openalex.org/W4234916598","https://openalex.org/W4236667477","https://openalex.org/W4299150230","https://openalex.org/W6634336730","https://openalex.org/W6942626529"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2052122378","https://openalex.org/W2055243143","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2038416447","https://openalex.org/W2187401768","https://openalex.org/W2181413294"],"abstract_inverted_index":{"We":[0,135,168],"present":[1],"a":[2,23,44,64,67,86,121,152],"novel":[3],"representation":[4,65,106,173],"of":[5,9,25,28,58,66,123,149,181,199],"maps":[6,182],"between":[7],"pairs":[8],"shapes":[10],"that":[11,30,69],"allows":[12],"for":[13,47,76],"efficient":[14,142],"inference":[15],"and":[16,96,117,119,189,196],"manipulation.":[17],"Key":[18],"to":[19,139,177],"our":[20],"approach":[21],"is":[22,70,151],"generalization":[24],"the":[26,40,48,56,105,147,179],"notion":[27],"map":[29,68,114],"puts":[31],"in":[32,101,193],"correspondence":[33],"real-valued":[34],"functions":[35],"rather":[36],"than":[37],"points":[38],"on":[39,51,85,162],"shapes.":[41],"By":[42],"choosing":[43],"multi-scale":[45],"basis":[46],"function":[49,127],"space":[50],"each":[52],"shape,":[53],"such":[54,88,112,125],"as":[55,89,113,126],"eigenfunctions":[57],"its":[59,191],"Laplace-Beltrami":[60],"operator,":[61],"we":[62],"obtain":[63],"very":[71],"compact,":[72],"yet":[73],"fully":[74],"suitable":[75],"global":[77],"inference.":[78],"Perhaps":[79],"more":[80],"remarkably,":[81],"most":[82],"natural":[83],"constraints":[84],"map,":[87],"descriptor":[90],"preservation,":[91],"landmark":[92],"correspondences,":[93],"part":[94],"preservation":[95],"operator":[97],"commutativity":[98],"become":[99],"linear":[100,154],"this":[102,172],"formulation.":[103],"Moreover,":[104],"naturally":[107],"supports":[108],"certain":[109],"algebraic":[110],"operations":[111],"sum,":[115],"difference":[116],"composition,":[118],"enables":[120],"number":[122],"applications,":[124],"or":[128],"annotation":[129],"transfer":[130,195],"without":[131],"establishing":[132],"point-to-point":[133],"correspondences.":[134],"exploit":[136],"these":[137],"properties":[138],"devise":[140],"an":[141,163],"shape":[143,165,186,200],"matching":[144,166,187],"method,":[145],"at":[146],"core":[148],"which":[150],"single":[153],"solve.":[155],"The":[156],"new":[157],"method":[158],"achieves":[159],"state-of-the-art":[160],"results":[161],"isometric":[164],"benchmark.":[167],"also":[169],"show":[170],"how":[171],"can":[174],"be":[175],"used":[176],"improve":[178],"quality":[180],"produced":[183],"by":[184],"existing":[185],"methods,":[188],"illustrate":[190],"usefulness":[192],"segmentation":[194],"joint":[197],"analysis":[198],"collections.":[201]},"counts_by_year":[{"year":2026,"cited_by_count":17},{"year":2025,"cited_by_count":47},{"year":2024,"cited_by_count":57},{"year":2023,"cited_by_count":56},{"year":2022,"cited_by_count":59},{"year":2021,"cited_by_count":63},{"year":2020,"cited_by_count":79},{"year":2019,"cited_by_count":77},{"year":2018,"cited_by_count":62},{"year":2017,"cited_by_count":53},{"year":2016,"cited_by_count":53},{"year":2015,"cited_by_count":27},{"year":2014,"cited_by_count":32},{"year":2013,"cited_by_count":25},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2016-06-24T00:00:00"}