{"id":"https://openalex.org/W2912605670","doi":"https://doi.org/10.2312/sgp.20181182","title":"Functional Maps on Product Manifolds","display_name":"Functional Maps on Product Manifolds","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2912605670","doi":"https://doi.org/10.2312/sgp.20181182","mag":"2912605670"},"language":"en","primary_location":{"id":"pmh:oai:iris.uniroma1.it:11573/1252667","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/1252667","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/sgp.20181182","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087051832","display_name":"Emanuele Rodol\u00e0","orcid":"https://orcid.org/0000-0003-0091-7241"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rodol\u00e0, Emanuele","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028382876","display_name":"Zorah L\u00e4hner","orcid":"https://orcid.org/0000-0003-0599-094X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L\u00e4hner, Zorah","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025410418","display_name":"Alex Bronstein","orcid":"https://orcid.org/0000-0001-9699-8730"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bronstein, Alex M.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013638126","display_name":"Michael M. Bronstein","orcid":"https://orcid.org/0000-0002-1262-7252"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bronstein, Michael M.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036542947","display_name":"Justin Solomon","orcid":"https://orcid.org/0000-0002-7701-7586"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Solomon, Justin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5087051832"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18379637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"9","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":0.8565999865531921,"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":0.8565999865531921,"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/product","display_name":"Product (mathematics)","score":0.5468927025794983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3977060914039612},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.355404257774353},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1413620412349701}],"concepts":[{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5468927025794983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3977060914039612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.355404257774353},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1413620412349701}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:iris.uniroma1.it:11573/1252667","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/1252667","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.2312/sgp.20181182","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp.20181182","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2912605670","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/sgp/sgp2018p.html#RodolaLBBS18","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.2312/sgp.20181182","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp.20181182","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2617941226","https://openalex.org/W2242055305","https://openalex.org/W2619671517","https://openalex.org/W2100268264","https://openalex.org/W2277207630","https://openalex.org/W2763313287","https://openalex.org/W3049410629","https://openalex.org/W2810401700","https://openalex.org/W191595009","https://openalex.org/W2732529520","https://openalex.org/W2810731241","https://openalex.org/W2410910676","https://openalex.org/W2076535104","https://openalex.org/W2889187196","https://openalex.org/W2256041735","https://openalex.org/W2265243892","https://openalex.org/W2080995373","https://openalex.org/W2121769650","https://openalex.org/W2309753055","https://openalex.org/W2154492126"],"abstract_inverted_index":{"We":[0,12],"consider":[1],"the":[2,18,22,38,49,53,71,86],"tasks":[3],"of":[4,21,40,55,60,85],"representing,":[5],"analyzing":[6],"and":[7,33],"manipulating":[8],"maps":[9,14,56],"between":[10],"shapes.":[11],"model":[13],"as":[15,30,89],"densities":[16,26],"over":[17],"product":[19,50,87],"manifold":[20,47,88],"input":[23],"shapes;":[24],"these":[25,76],"can":[27],"be":[28],"treated":[29],"scalar":[31],"functions":[32],"therefore":[34],"are":[35],"manipulable":[36],"using":[37],"language":[39],"signal":[41],"processing":[42],"on":[43],"manifolds.":[44],"Being":[45],"a":[46,58,90],"itself,":[48],"space":[51],"endows":[52],"set":[54],"with":[57],"geometry":[59],"its":[61],"own,":[62],"which":[63],"we":[64,80],"exploit":[65],"to":[66],"define":[67],"map":[68,94],"operations":[69],"in":[70,78],"spectral":[72,83],"domain.":[73],"To":[74],"apply":[75],"ideas":[77],"practice,":[79],"introduce":[81],"localized":[82],"analysis":[84],"novel":[91],"tool":[92],"for":[93],"processing.":[95]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}
