{"id":"https://openalex.org/W2910257070","doi":"https://doi.org/10.2312/stag.20181300","title":"Indicators Basis for Functional Shape Analysis","display_name":"Indicators Basis for Functional Shape Analysis","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2910257070","doi":"https://doi.org/10.2312/stag.20181300","mag":"2910257070"},"language":"en","primary_location":{"id":"pmh:oai:boa.unimib.it:10281/350444","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/350444","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"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/stag.20181300","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039565429","display_name":"Simone Melzi","orcid":"https://orcid.org/0000-0003-2790-9591"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Melzi, S.","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039565429"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2434,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6399861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"75","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.17499999701976776,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.17499999701976776,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11595","display_name":"Textile materials and evaluations","score":0.1589999943971634,"subfield":{"id":"https://openalex.org/subfields/2507","display_name":"Polymers and Plastics"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.14499999582767487,"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/basis","display_name":"Basis (linear algebra)","score":0.5178887844085693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3953256607055664},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28257325291633606}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5178887844085693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3953256607055664},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28257325291633606},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:boa.unimib.it:10281/350444","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/350444","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:iris.uniroma1.it:11573/1564403","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1564403","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/stag.20181300","is_oa":true,"landing_page_url":"https://doi.org/10.2312/stag.20181300","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:2910257070","is_oa":false,"landing_page_url":"https://diglib.eg.org/handle/10.2312/stag20181300","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/stag.20181300","is_oa":true,"landing_page_url":"https://doi.org/10.2312/stag.20181300","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2806941686","https://openalex.org/W3194720806","https://openalex.org/W3165253014","https://openalex.org/W3189962672","https://openalex.org/W3017530280","https://openalex.org/W1964473154","https://openalex.org/W2098540290","https://openalex.org/W3133318983","https://openalex.org/W2038577005","https://openalex.org/W1229701863","https://openalex.org/W2066441352","https://openalex.org/W2037257380","https://openalex.org/W2086963199","https://openalex.org/W2616899815","https://openalex.org/W3173495606","https://openalex.org/W2147099506","https://openalex.org/W1816496736","https://openalex.org/W2766540642","https://openalex.org/W2157324002","https://openalex.org/W2728203086"],"abstract_inverted_index":{"Step":[0],"functions":[1,76,138,171],"are":[2],"widely":[3],"used":[4],"in":[5,99,105,133,141,164],"several":[6],"applications":[7],"from":[8],"geometry":[9],"processing":[10,30],"and":[11,18,71,89,167,172],"shape":[12,120],"analysis.":[13],"Shape":[14],"segmentation,":[15],"partial":[16],"matching":[17],"self":[19],"similarity":[20],"detection":[21],"just":[22],"to":[23,36,101,118,123,177],"name":[24],"a":[25,52,65,86,128,151],"few.":[26],"The":[27,43,112],"standard":[28],"signal":[29],"tools":[31],"do":[32],"not":[33,50,131],"allow":[34],"us":[35,117],"fully":[37,82],"handle":[38,119],"this":[39,61],"class":[40],"of":[41,73,136,154,169],"functions.":[42,59],"classical":[44],"Fourier":[45],"series,":[46],"for":[47,55,68,85],"instance,":[48],"does":[49],"give":[51],"good":[53],"representation":[54,88],"these":[56],"non":[57,178],"smooth":[58],"In":[60],"paper":[62],"we":[63],"define":[64],"new":[66],"basis":[67,95,126,163],"the":[69,74,108,134,142,145,157,161,165],"approximation":[70,135,166],"transfer":[72,168],"step":[75,137,170],"between":[77],"shapes.":[78],"Our":[79],"definition":[80],"is":[81,96],"spectral,":[83],"allowing":[84],"concise":[87],"an":[90],"efficient":[91],"computation.":[92],"Furthermore":[93],"our":[94,125],"specifically":[97],"built":[98],"order":[100],"enhance":[102],"its":[103,173],"use":[104],"combination":[106],"with":[107,175],"functional":[109,113,146],"maps":[110,147],"framework.":[111,148],"approach":[114],"also":[115,140],"enable":[116],"deformations.":[121,180],"Thanks":[122],"that":[124],"achieves":[127],"large":[129,152],"improvement":[130,158],"only":[132],"but":[139],"transfer,":[143],"exploiting":[144],"We":[149],"perform":[150],"set":[153],"experiments":[155],"showing":[156],"achieved":[159],"by":[160],"proposed":[162],"stability":[174],"respect":[176],"isometric":[179]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}