{"id":"https://openalex.org/W1597593101","doi":"https://doi.org/10.1109/icip.2003.1246950","title":"A sufficient condition based on the Cauchy-Schwarz inequality for efficient template matching","display_name":"A sufficient condition based on the Cauchy-Schwarz inequality for efficient template matching","publication_year":2004,"publication_date":"2004-06-21","ids":{"openalex":"https://openalex.org/W1597593101","doi":"https://doi.org/10.1109/icip.2003.1246950","mag":"1597593101"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2003.1246950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2003.1246950","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025618347","display_name":"Luigi Di Stefano","orcid":"https://orcid.org/0000-0001-6014-6421"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Di Stefano","raw_affiliation_strings":["DEIS-ARCES, Universit of Bologna, (ITALY)","DEIS/ARCES, Bologna Univ., Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DEIS-ARCES, Universit of Bologna, (ITALY)","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"DEIS/ARCES, Bologna Univ., Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072569849","display_name":"Stefano Mattoccia","orcid":"https://orcid.org/0000-0002-3681-7704"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Mattoccia","raw_affiliation_strings":["DEIS-ARCES, Universit of Bologna, (ITALY)","DEIS/ARCES, Bologna Univ., Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DEIS-ARCES, Universit of Bologna, (ITALY)","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"DEIS/ARCES, Bologna Univ., Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"I","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.977400004863739,"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/T10057","display_name":"Face and Expression Recognition","score":0.977400004863739,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9462000131607056,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11165","display_name":"Image and Video Quality Assessment","score":0.9187999963760376,"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/bounded-function","display_name":"Bounded function","score":0.7285118103027344},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.6663684844970703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6259826421737671},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5969885587692261},{"id":"https://openalex.org/keywords/cauchy\u2013schwarz-inequality","display_name":"Cauchy\u2013Schwarz inequality","score":0.5825756788253784},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.447022020816803},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41722095012664795},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4132792055606842},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38284018635749817},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35630905628204346},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.26254481077194214},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12234634160995483},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09765517711639404}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7285118103027344},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6663684844970703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6259826421737671},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5969885587692261},{"id":"https://openalex.org/C184701930","wikidata":"https://www.wikidata.org/wiki/Q190546","display_name":"Cauchy\u2013Schwarz inequality","level":3,"score":0.5825756788253784},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.447022020816803},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41722095012664795},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4132792055606842},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38284018635749817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35630905628204346},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.26254481077194214},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12234634160995483},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09765517711639404},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icip.2003.1246950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2003.1246950","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429)","raw_type":"proceedings-article"},{"id":"pmh:oai:cris.unibo.it:11585/873380","is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/document/1246950","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6499999761581421,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1526075880","https://openalex.org/W1622620102","https://openalex.org/W2011807137","https://openalex.org/W2054484909","https://openalex.org/W2069797735","https://openalex.org/W2148044735","https://openalex.org/W2154941864","https://openalex.org/W2167538622"],"related_works":["https://openalex.org/W2136053165","https://openalex.org/W2042726902","https://openalex.org/W2018828049","https://openalex.org/W1598979804","https://openalex.org/W3102909640","https://openalex.org/W2046712581","https://openalex.org/W2370340664","https://openalex.org/W1978402756","https://openalex.org/W2760970427","https://openalex.org/W2316753345"],"abstract_inverted_index":{"The":[0,28],"paper":[1,68],"proposes":[2],"a":[3,55,71],"technique":[4,29],"aimed":[5],"at":[6],"reducing":[7],"the":[8,23,37,50,62,77,82,89,96,103],"number":[9],"of":[10,41,49],"calculations":[11],"required":[12],"to":[13,61],"carry":[14],"out":[15],"an":[16,31],"exhaustive":[17],"template":[18,92],"matching":[19,93],"process":[20],"based":[21,75,101],"on":[22,36,76,102],"normalized":[24],"cross":[25],"correlation":[26,44],"(NCC).":[27],"deploys":[30],"effective":[32],"sufficient":[33,73,99],"condition,":[34],"relying":[35],"recently":[38],"introduced":[39],"concept":[40],"bounded":[42],"partial":[43],"that":[45,52],"allows":[46],"rapid":[47],"elimination":[48],"points":[51],"cannot":[53],"provide":[54],"better":[56],"cross-correlation":[57],"score":[58],"with":[59,85],"respect":[60],"current":[63],"best":[64],"candidate.":[65],"In":[66],"this":[67],"we":[69],"devise":[70],"novel":[72],"condition":[74,100],"Cauchy-Schwarz":[78],"inequality":[79],"and":[80,95],"compare":[81],"experimental":[83],"results":[84],"those":[86],"attained":[87],"using":[88],"standard":[90],"NCC-based":[91],"algorithm":[94],"already":[97],"known":[98],"Jensen":[104],"inequality.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}