{"id":"https://openalex.org/W2004167634","doi":"https://doi.org/10.1137/120864556","title":"Geometric PCA of Images","display_name":"Geometric PCA of Images","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2004167634","doi":"https://doi.org/10.1137/120864556","mag":"2004167634"},"language":"en","primary_location":{"id":"doi:10.1137/120864556","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120864556","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3269759","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061972182","display_name":"J\u00e9r\u00e9mie Bigot","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Bigot","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051948966","display_name":"Ra\u00fal Gouet","orcid":"https://orcid.org/0000-0003-3125-6773"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Gouet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5087248790","display_name":"Antonio M. L\u00f3pez","orcid":"https://orcid.org/0000-0002-6979-5783"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. L\u00f3pez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5525,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69471374,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":"4","first_page":"1851","last_page":"1879"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9926000237464905,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9926000237464905,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9883000254631042,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9685999751091003,"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/consistency","display_name":"Consistency (knowledge bases)","score":0.6633816957473755},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.5863887071609497},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5463677644729614},{"id":"https://openalex.org/keywords/geometric-modeling","display_name":"Geometric modeling","score":0.5462429523468018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5149758458137512},{"id":"https://openalex.org/keywords/geometric-data-analysis","display_name":"Geometric data analysis","score":0.5107154846191406},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4868718683719635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4765082895755768},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47118616104125977},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4669068455696106},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4543820917606354},{"id":"https://openalex.org/keywords/geometric-shape","display_name":"Geometric shape","score":0.4511057138442993},{"id":"https://openalex.org/keywords/data-set","display_name":"Data set","score":0.4354691505432129},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42327457666397095},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3986407518386841},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25630903244018555}],"concepts":[{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6633816957473755},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.5863887071609497},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5463677644729614},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.5462429523468018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5149758458137512},{"id":"https://openalex.org/C136520226","wikidata":"https://www.wikidata.org/wiki/Q302814","display_name":"Geometric data analysis","level":2,"score":0.5107154846191406},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4868718683719635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4765082895755768},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47118616104125977},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4669068455696106},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4543820917606354},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.4511057138442993},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.4354691505432129},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42327457666397095},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3986407518386841},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25630903244018555},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/120864556","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120864556","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:americanae.aecid.es:3269759","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3269759","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Siam Journal On Discrete Mathematics","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:americanae.aecid.es:3332691","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3332691","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM JOURNAL ON IMAGING SCIENCES","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/135302","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/135302","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"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":"SIAM JOURNAL ON IMAGING SCIENCES","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/148235","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/148235","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"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":"Siam Journal On Discrete Mathematics","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3269759","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3269759","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Siam Journal On Discrete Mathematics","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W171065245","https://openalex.org/W255181480","https://openalex.org/W563799425","https://openalex.org/W586270867","https://openalex.org/W1510704716","https://openalex.org/W1579576867","https://openalex.org/W1969002377","https://openalex.org/W1970377488","https://openalex.org/W1976312144","https://openalex.org/W1983960282","https://openalex.org/W1995496685","https://openalex.org/W1998563636","https://openalex.org/W2001834194","https://openalex.org/W2016373742","https://openalex.org/W2020608997","https://openalex.org/W2038982442","https://openalex.org/W2041653797","https://openalex.org/W2050921210","https://openalex.org/W2056226026","https://openalex.org/W2059307293","https://openalex.org/W2062045876","https://openalex.org/W2062483720","https://openalex.org/W2073431334","https://openalex.org/W2074745044","https://openalex.org/W2076114154","https://openalex.org/W2086874647","https://openalex.org/W2109346540","https://openalex.org/W2110873181","https://openalex.org/W2112796928","https://openalex.org/W2121014637","https://openalex.org/W2125949583","https://openalex.org/W2128907102","https://openalex.org/W2146564297","https://openalex.org/W2148782378","https://openalex.org/W2150750889","https://openalex.org/W2153675946","https://openalex.org/W2155298532","https://openalex.org/W2170167891","https://openalex.org/W2477281377","https://openalex.org/W2803851362","https://openalex.org/W2963057625","https://openalex.org/W2984425774","https://openalex.org/W2988564852","https://openalex.org/W3137136951","https://openalex.org/W4252304371"],"related_works":["https://openalex.org/W2319684939","https://openalex.org/W3113701594","https://openalex.org/W2363399361","https://openalex.org/W2332420753","https://openalex.org/W3188279632","https://openalex.org/W361776977","https://openalex.org/W1629863428","https://openalex.org/W2108834512","https://openalex.org/W2901247006","https://openalex.org/W4206563039"],"abstract_inverted_index":{"We":[0],"describe":[1,45],"a":[2,19,37,46,55],"method":[3],"for":[4,29,49,67],"analyzing":[5],"the":[6,24,31,51,69],"principal":[7],"modes":[8],"of":[9,12,26,34,54,57,71,76],"geometric":[10,32,52],"variability":[11,33,53],"images.":[13,58],"For":[14],"this":[15,42,72,77],"purpose,":[16],"we":[17,44],"propose":[18],"general":[20],"framework":[21],"based":[22],"on":[23,62],"use":[25],"deformation":[27],"operators":[28],"modeling":[30],"images":[35],"around":[36],"reference":[38],"mean":[39],"pattern.":[40],"In":[41],"setting,":[43],"simple":[47],"algorithm":[48],"estimating":[50],"set":[56],"Some":[59],"numerical":[60],"experiments":[61],"real":[63],"data":[64],"are":[65],"proposed":[66],"highlighting":[68],"benefits":[70],"approach.":[73],"The":[74],"consistency":[75],"procedure":[78],"is":[79],"also":[80],"analyzed":[81],"in":[82],"statistical":[83],"deformable":[84],"models.":[85]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
