{"id":"https://openalex.org/W1536289854","doi":"https://doi.org/10.2312/egt.20141018","title":"Reasoning About Shape in Complex Datasets: Geometry, Structure and Semantics","display_name":"Reasoning About Shape in Complex Datasets: Geometry, Structure and Semantics","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1536289854","doi":"https://doi.org/10.2312/egt.20141018","mag":"1536289854"},"language":"en","primary_location":{"id":"doi:10.2312/egt.20141018","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egt.20141018","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/egt.20141018","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025286783","display_name":"Silvia Biasotti","orcid":"https://orcid.org/0000-0002-9992-825X"},"institutions":[{"id":"https://openalex.org/I197604219","display_name":"National Academies of Sciences, Engineering, and Medicine","ror":"https://ror.org/02eq2w707","country_code":"US","type":"government","lineage":["https://openalex.org/I197604219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Biasotti, Silvia","raw_affiliation_strings":["National Academies of Sciences, Engineering, and Medicine, Washington, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Academies of Sciences, Engineering, and Medicine, Washington, United States","institution_ids":["https://openalex.org/I197604219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002077138","display_name":"Hamid Laga","orcid":"https://orcid.org/0000-0002-4758-7510"},"institutions":[{"id":"https://openalex.org/I165390105","display_name":"University of South Africa","ror":"https://ror.org/048cwvf49","country_code":"ZA","type":"education","lineage":["https://openalex.org/I165390105"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Laga, Hamid","raw_affiliation_strings":["University of South Africa, Pretoria, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of South Africa, Pretoria, South Africa","institution_ids":["https://openalex.org/I165390105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056032133","display_name":"Michela Mortara","orcid":"https://orcid.org/0000-0003-1074-1024"},"institutions":[{"id":"https://openalex.org/I197604219","display_name":"National Academies of Sciences, Engineering, and Medicine","ror":"https://ror.org/02eq2w707","country_code":"US","type":"government","lineage":["https://openalex.org/I197604219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mortara, Michela","raw_affiliation_strings":["National Academies of Sciences, Engineering, and Medicine, Washington, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Academies of Sciences, Engineering, and Medicine, Washington, United States","institution_ids":["https://openalex.org/I197604219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068329396","display_name":"Michela Spagnuolo","orcid":"https://orcid.org/0000-0002-5682-6990"},"institutions":[{"id":"https://openalex.org/I197604219","display_name":"National Academies of Sciences, Engineering, and Medicine","ror":"https://ror.org/02eq2w707","country_code":"US","type":"government","lineage":["https://openalex.org/I197604219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Spagnuolo, Michela","raw_affiliation_strings":["National Academies of Sciences, Engineering, and Medicine, Washington, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Academies of Sciences, Engineering, and Medicine, Washington, United States","institution_ids":["https://openalex.org/I197604219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9739999771118164,"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"}},"topics":[{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9739999771118164,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9667999744415283,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.6490274667739868},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5958467125892639},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4800201952457428},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.46051374077796936},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4095374047756195},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2859431505203247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22011396288871765}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6490274667739868},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5958467125892639},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4800201952457428},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.46051374077796936},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4095374047756195},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2859431505203247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22011396288871765}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/egt.20141018","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egt.20141018","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.2312/egt.20141018","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egt.20141018","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2138209828","https://openalex.org/W3100728080","https://openalex.org/W1525541098","https://openalex.org/W1591167294","https://openalex.org/W2143580458","https://openalex.org/W2105447467","https://openalex.org/W2141083421","https://openalex.org/W1660435128","https://openalex.org/W2106490685","https://openalex.org/W2040548380","https://openalex.org/W111442320","https://openalex.org/W103953357","https://openalex.org/W1996117093","https://openalex.org/W2022614321","https://openalex.org/W2791538618","https://openalex.org/W1904365786","https://openalex.org/W2066416591","https://openalex.org/W3024961691","https://openalex.org/W2000321478","https://openalex.org/W2277665410"],"abstract_inverted_index":{"In":[0],"recent":[1,174],"years,":[2],"acquisition":[3],"and":[4,34,62,82,107,136,152,154,161,222,239],"modelling":[5],"of":[6,18,40,71,89,102,104,117,127,132,138,186,203,214,225,236],"3D":[7,22,41,65,105,190,243],"data":[8,42,66],"has":[9],"gained":[10],"a":[11,27,139,220,226,247],"significant":[12],"boost":[13],"due":[14],"to":[15,93,164,218],"the":[16,48,52,75,95,100,109,118,125,130,133,144,167,180,184,187,201,212,231],"availability":[17],"commodity":[19],"devices.":[20],"Digital":[21],"shape":[23,122,191,197,216,244],"models":[24,106],"are":[25,43,68],"becoming":[26,69],"key":[28],"component":[29],"in":[30,47,57,74,121,129,173,189],"many":[31],"industrial,":[32],"entertainment":[33],"scientific":[35],"sectors.":[36],"Consequently,":[37],"large":[38],"collections":[39,67,103],"nowadays":[44],"available":[45],"both":[46],"public":[49],"(e.g.,":[50],"on":[51,149,206],"Internet)":[53],"as":[54,56],"well":[55],"private":[58],"domains.":[59],"Analyzing,":[60],"classifying,":[61],"querying":[63],"such":[64],"topics":[70],"increasing":[72],"interest":[73],"computer":[76,80],"vision,":[77],"pattern":[78],"recognition,":[79],"graphics":[81],"digital":[83,227],"geometry":[84],"processing":[85],"communities.":[86],"The":[87],"purpose":[88],"this":[90],"tutorial":[91,232],"is":[92],"introduce":[94,115],"fundamental":[96,181],"mathematical":[97,145],"tools":[98,182],"for":[99,183],"analysis":[101,185,198,205,217,245],"overview":[108,143,179,235],"state-of-the-art":[110],"techniques.":[111],"We":[112,141,177,193,229],"will":[113,178,194],"first":[114],"some":[116,237],"main":[119],"challenges":[120],"analysis,":[123],"underlining":[124],"role":[126],"Mathematics":[128],"identification":[131],"geometry,":[134],"structure":[135],"semantics":[137],"shape.":[140],"then":[142],"concepts":[146,169],"that":[147],"root":[148],"Differential":[150],"Geometry":[151],"Topology":[153],"show":[155],"examples":[156],"about":[157],"surface":[158],"correspondence,":[159],"retrieval":[160],"attribute":[162],"transfer,":[163],"demonstrate":[165],"how":[166],"surveyed":[168],"have":[170],"been":[171],"exploited":[172],"research":[175],"works.":[176],"variability":[188],"collections.":[192],"review":[195],"statistical":[196,204],"techniques,":[199],"outlining":[200],"potential":[202,213],"non-linear":[207],"manifolds.":[208],"Finally,":[209],"we":[210],"discuss":[211],"structural":[215],"achieve":[219],"smart":[221],"semantic":[223],"representation":[224],"object.":[228],"conclude":[230],"with":[233],"an":[234],"(classical":[238],"non-classical)":[240],"applications":[241],"where":[242],"plays":[246],"central":[248],"role.":[249]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}