{"id":"https://openalex.org/W2501240968","doi":"https://doi.org/10.1109/ivmspw.2016.7528220","title":"Estimating the mean manifold of a deformable object from noisy observations","display_name":"Estimating the mean manifold of a deformable object from noisy observations","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2501240968","doi":"https://doi.org/10.1109/ivmspw.2016.7528220","mag":"2501240968"},"language":"en","primary_location":{"id":"doi:10.1109/ivmspw.2016.7528220","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ivmspw.2016.7528220","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop (IVMSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10902/11096","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057824177","display_name":"Ziv Yavo","orcid":null},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ziv Yavo","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Ben-Gurion University, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Ben-Gurion University, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006121558","display_name":"Joseph M. Francos","orcid":"https://orcid.org/0000-0001-9436-956X"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Joseph M. Francos","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Ben-Gurion University, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Ben-Gurion University, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059078809","display_name":"Ignacio Santamar\u0131\u0301a","orcid":"https://orcid.org/0000-0003-0040-7436"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ignacio Santamaria","raw_affiliation_strings":["Dept. of Communications Engineering, University of Cantabria, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Communications Engineering, University of Cantabria, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080469112","display_name":"Louis L. Scharf","orcid":"https://orcid.org/0000-0003-1764-9335"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Louis L. Scharf","raw_affiliation_strings":["Dept. of Mathematics, Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"290","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.98580002784729,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9850999712944031,"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/manifold","display_name":"Manifold (fluid mechanics)","score":0.6453452110290527},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.6116794347763062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5206660032272339},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5001363754272461},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.458827942609787},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07479512691497803}],"concepts":[{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6453452110290527},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.6116794347763062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5206660032272339},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5001363754272461},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.458827942609787},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07479512691497803},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ivmspw.2016.7528220","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ivmspw.2016.7528220","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop (IVMSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:repositorio.unican.es:10902/11096","is_oa":true,"landing_page_url":"http://hdl.handle.net/10902/11096","pdf_url":null,"source":{"id":"https://openalex.org/S4306400398","display_name":"UCrea (University of Cantabria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13134134","host_organization_name":"Universidad de Cantabria","host_organization_lineage":["https://openalex.org/I13134134"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE 12th Image, Video and Multidimensional Signal Processing Workshop (IVMSP), Bordeaux, 2016, 145-149","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:repositorio.unican.es:10902/11096","is_oa":true,"landing_page_url":"http://hdl.handle.net/10902/11096","pdf_url":null,"source":{"id":"https://openalex.org/S4306400398","display_name":"UCrea (University of Cantabria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13134134","host_organization_name":"Universidad de Cantabria","host_organization_lineage":["https://openalex.org/I13134134"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE 12th Image, Video and Multidimensional Signal Processing Workshop (IVMSP), Bordeaux, 2016, 145-149","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1592033920","https://openalex.org/W1595132914","https://openalex.org/W2001141328","https://openalex.org/W2036161092","https://openalex.org/W2053186076","https://openalex.org/W2063624637","https://openalex.org/W2071744561","https://openalex.org/W2116148865","https://openalex.org/W2170237252","https://openalex.org/W2336767348","https://openalex.org/W2404981275","https://openalex.org/W2509499822","https://openalex.org/W6684659476","https://openalex.org/W6725151903"],"related_works":["https://openalex.org/W2772917594","https://openalex.org/W2058170566","https://openalex.org/W2755342338","https://openalex.org/W2166024367","https://openalex.org/W3116076068","https://openalex.org/W2229312674","https://openalex.org/W2951359407","https://openalex.org/W2079911747","https://openalex.org/W1969923398","https://openalex.org/W2775347418"],"abstract_inverted_index":{"Assume":[0],"we":[1,143],"have":[2],"a":[3,16,30,48,76,85,93,107,145],"set":[4,39,72],"of":[5,11,32,35,40,54,65,73,90,111,117,125,131,168,183,194,200],"noisy":[6],"observations":[7,42,91,134,155],"(for":[8],"example,":[9],"images)":[10],"different":[12,17,41,133,138,150,154],"objects,":[13],"each":[14,44,102],"undergoing":[15],"geometric":[18],"deformation,":[19],"yet":[20],"all":[21],"the":[22,26,33,38,51,63,71,79,88,115,118,121,126,129,149,158,165,169,181,192,198],"deformations":[23,74],"belong":[24],"to":[25,92,101,106,137,163,179,190],"same":[27,122,159],"family.":[28],"As":[29],"result":[31],"action":[34],"these":[36],"deformations,":[37],"on":[43,157],"object":[45,103,170,201],"is":[46,104,120,176],"generally":[47],"manifold":[49,81,99,174,187],"in":[50,62,67,161,185,197],"ambient":[52],"space":[53,89],"observations.":[55],"It":[56],"has":[57],"been":[58],"shown,":[59],"[1],":[60],"that":[61,124],"absence":[64],"noise,":[66,132],"those":[68],"cases":[69],"where":[70],"admits":[75],"finite-dimensional":[77],"representation,":[78],"universal":[80],"embedding":[82],"(UME)":[83],"provides":[84],"mapping":[86],"from":[87,153],"low":[94],"dimensional":[95],"linear":[96,109],"space.":[97],"The":[98,172],"corresponding":[100],"mapped":[105,136],"distinct":[108],"subspace":[110,119],"Euclidean":[112],"space,":[113],"and":[114,189,203],"dimension":[116],"as":[123],"manifold.":[127,171],"In":[128,140],"presence":[130],"are":[135],"subspaces.":[139],"this":[141],"paper":[142],"derive":[144],"method":[146],"for":[147],"\u201caveraging\u201d":[148],"subspaces,":[151],"obtained":[152],"made":[156],"object,":[160],"order":[162],"estimate":[164],"mean":[166,173],"representation":[167,175],"then":[177],"employed":[178],"minimize":[180],"effects":[182],"noise":[184],"matched":[186],"detectors":[188],"improve":[191],"separability":[193],"data":[195],"sets":[196],"context":[199],"detection":[202],"classification.":[204]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}
