{"id":"https://openalex.org/W20439494","doi":null,"title":"Representation, Segmentation and Matching of 3D Visual Shapes using Graph Laplacian and Heat-Kernel","display_name":"Representation, Segmentation and Matching of 3D Visual Shapes using Graph Laplacian and Heat-Kernel","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W20439494","mag":"20439494"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.302.4580","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.302.4580","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://tel.archives-ouvertes.fr/docs/00/76/87/68/PDF/Thesis_main.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://theses.hal.science/tel-00768768","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020346617","display_name":"Avinash Sharma","orcid":"https://orcid.org/0000-0001-6762-6778","observed_orcids":["https://orcid.org/0000-0001-6762-6778"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Avinash Sharma","raw_affiliation_strings":["Interpretation and Modelling of Images and Videos"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Interpretation and Modelling of Images and Videos","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5020346617"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4742,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74050363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9940999746322632,"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"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9940999746322632,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.0027000000700354576,"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"}},{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.00039999998989515007,"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/3d-shape-representation","display_name":"3D shape representation","score":0.8840000033378601},{"id":"https://openalex.org/keywords/point-cloud-segmentation","display_name":"point cloud segmentation","score":0.6600000262260437},{"id":"https://openalex.org/keywords/shape-matching","display_name":"shape matching","score":0.8679999709129333},{"id":"https://openalex.org/keywords/graph-laplacian","display_name":"graph Laplacian","score":0.9739999771118164},{"id":"https://openalex.org/keywords/heat-kernel","display_name":"heat kernel","score":0.9710000157356262},{"id":"https://openalex.org/keywords/multiscale-representation","display_name":"multi-scale representation","score":0.8970000147819519},{"id":"https://openalex.org/keywords/sensor-noise-robustness","display_name":"sensor noise robustness","score":0.8339999914169312},{"id":"https://openalex.org/keywords/self-occlusion","display_name":"self-occlusion","score":0.7129999995231628}],"concepts":[{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6131048798561096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5751781463623047},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.5530253648757935},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5355629324913025},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5324339270591736},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.43171894550323486},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.4159421920776367},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3994867205619812},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.302.4580","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.302.4580","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://tel.archives-ouvertes.fr/docs/00/76/87/68/PDF/Thesis_main.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.397.7096","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.397.7096","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://tel.archives-ouvertes.fr/docs/00/86/05/33/PDF/24993_SHARMA_2012_archivage1.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:tel-00768768v1","doi":null,"is_oa":true,"landing_page_url":"https://theses.hal.science/tel-00768768","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Vision and Pattern Recognition [cs.CV]. Institut National Polytechnique de Grenoble - INPG, 2012. English. ⟨NNT : ⟩","raw_type":"info:eu-repo/semantics/doctoralThesis"}],"best_oa_location":{"id":"pmh:oai:HAL:tel-00768768v1","doi":null,"is_oa":true,"landing_page_url":"https://theses.hal.science/tel-00768768","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Vision and Pattern Recognition [cs.CV]. Institut National Polytechnique de Grenoble - INPG, 2012. English. ⟨NNT : ⟩","raw_type":"info:eu-repo/semantics/doctoralThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7061742833","https://openalex.org/W69871628","https://openalex.org/W320384809","https://openalex.org/W12555595","https://openalex.org/W2505800288","https://openalex.org/W7100913629","https://openalex.org/W155942102","https://openalex.org/W2151497844","https://openalex.org/W1836732638","https://openalex.org/W1549129878"],"abstract_inverted_index":{"3D":[0,19,58,149,235],"shape":[1,20,44,154,165,179,185,189,247,261,276,293],"analysis":[2,34,155],"is":[3,45,107],"an":[4],"extremely":[5],"active":[6],"research":[7],"topic":[8],"in":[9,69,158,171],"both":[10],"computer":[11,14,17],"graphics":[12],"and":[13,22,32,57,82,144,151,181,187,196,208,222,269,302,308],"vision.":[15],"In":[16,138,167],"vision,":[18],"acquisition":[21],"modeling":[23],"are":[24,37,67,84],"generally":[25],"the":[26,61,64,70,76,79,103,160,173,192,203,209,216,227,251,275,284,297],"result":[27],"of":[28,55,78,136,147,229,234,311],"complex":[29],"data":[30,33,66],"processing":[31],"methods.":[35],"There":[36],"many":[38],"practical":[39],"situations":[40],"where":[41],"a":[42,48,53,241,257,265,279,290,305],"visual":[43,164,246],"modeled":[46],"by":[47,87,109,163,226,249,282],"point":[49,125],"cloud":[50],"observed":[51,80,108],"with":[52,304],"variety":[54],"2D":[56],"sensors.":[59],"Unlike":[60],"graphical":[62],"data,":[63],"sensory":[65],"not,":[68],"general":[71],"case,":[72],"uniformly":[73],"distributed":[74],"across":[75],"surfaces":[77],"objects":[81],"they":[83],"often":[85],"corrupted":[86],"sensor":[88],"noise,":[89],"outliers,":[90],"surface":[91],"properties":[92],"(scattering,":[93],"specularities,":[94],"color,":[95],"etc.),":[96],"self":[97],"occlusions,":[98],"varying":[99],"lighting":[100],"conditions.":[101],"Moreover,":[102],"same":[104],"object":[105],"that":[106],"different":[110,114,118,124],"sensors,":[111],"from":[112],"slightly":[113],"viewpoints,":[115],"or":[116],"at":[117],"time":[119],"instances":[120],"may":[121],"yield":[122],"completely":[123],"distributions,":[126],"noise":[127],"levels":[128],"and,":[129],"most":[130],"notably,":[131],"topological":[132],"differences,":[133],"e.g.,":[134],"merging":[135],"hands.":[137],"this":[139],"thesis":[140],"we":[141,169,239,273,288],"outline":[142,256],"single":[143],"multi-scale":[145,178,280,298],"representation":[146,180,233,277,301],"articulated":[148,236],"shapes":[150],"devise":[152],"new":[153,266],"methods,":[156],"keeping":[157],"mind":[159],"challenges":[161],"posed":[162],"data.":[166],"particular,":[168],"discuss":[170],"detail":[172],"heat":[174,299],"diffusion":[175],"framework":[176],"for":[177,184,245,260],"propose":[182],"solutions":[183],"segmentation":[186,248,262],"dense":[188,292],"registration":[190],"using":[191,296],"spectral":[193,231],"graph":[194,223],"methods":[195],"various":[197],"other":[198],"machine":[199],"learning":[200],"algorithms,":[201],"namely,":[202],"Gaussian":[204],"Mixture":[205],"Model":[206],"(GMM)":[207],"Expectation":[210],"Maximization":[211],"(EM).":[212],"We":[213,254],"first":[214],"introduce":[215],"mathematical":[217],"background":[218],"on":[219],"differential":[220],"geometry":[221],"isomorphism":[224],"followed":[225],"introduction":[228],"pose-invariant":[230],"embedding":[232],"shapes.":[237],"Next":[238,272],"present":[240,289],"novel":[242],"unsupervised":[243],"method":[244,295],"analyzing":[250],"Laplacian":[252],"eigenvectors.":[253],"then":[255],"semi-supervised":[258],"solution":[259],"based":[263],"upon":[264],"learn,":[267],"align":[268],"transfer":[270],"paradigm.":[271],"extend":[274],"to":[278],"setup":[281],"outlining":[283],"heat-kernel":[285],"framework.":[286],"Finally,":[287],"topologically-robust":[291],"matching":[294],"kernel":[300],"conclude":[303],"detailed":[306],"discussion":[307],"future":[309],"direction":[310],"work.":[312]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2016-06-24T00:00:00"}