{"id":"https://openalex.org/W1963714402","doi":"https://doi.org/10.1109/tpami.1985.4767617","title":"Image Normalization by Complex Moments","display_name":"Image Normalization by Complex Moments","publication_year":1985,"publication_date":"1985-01-01","ids":{"openalex":"https://openalex.org/W1963714402","doi":"https://doi.org/10.1109/tpami.1985.4767617","mag":"1963714402","pmid":"https://pubmed.ncbi.nlm.nih.gov/21869239"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.1985.4767617","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.1985.4767617","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/158561","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069502162","display_name":"Yaser S. Abu\u2010Mostafa","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yaser S. Abu-Mostafa","raw_affiliation_strings":["Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125","Division of Engineering and Applied Science California Institute of Technology Pasadena, CA 91125"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Engineering and Applied Science California Institute of Technology Pasadena, CA 91125","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109929086","display_name":"Demetri Psaltis","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Demetri Psaltis","raw_affiliation_strings":["Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA","Division of Engineering and Applied Science California Institute of Technology Pasadena, CA 91125"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Engineering and Applied Science California Institute of Technology Pasadena, CA 91125","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":10.4965,"has_fulltext":false,"cited_by_count":233,"citation_normalized_percentile":{"value":0.98308668,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"PAMI-7","issue":"1","first_page":"46","last_page":"55"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9983000159263611,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9907000064849854,"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/normalization","display_name":"Normalization (sociology)","score":0.8614965677261353},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.6665792465209961},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6427415609359741},{"id":"https://openalex.org/keywords/image-moment","display_name":"Image moment","score":0.596365213394165},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5446292161941528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4604490399360657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44453370571136475},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3440929651260376},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.33829593658447266},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.17980971932411194}],"concepts":[{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.8614965677261353},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.6665792465209961},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6427415609359741},{"id":"https://openalex.org/C108311513","wikidata":"https://www.wikidata.org/wiki/Q841934","display_name":"Image moment","level":4,"score":0.596365213394165},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5446292161941528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4604490399360657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44453370571136475},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3440929651260376},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.33829593658447266},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.17980971932411194},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tpami.1985.4767617","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.1985.4767617","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:21869239","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21869239","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null},{"id":"pmh:oai:authors.library.caltech.edu:96890","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/96890/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:infoscience.epfl.ch:158561","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/158561","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:158561","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/158561","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6100000143051147,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2004804713","https://openalex.org/W2035062046","https://openalex.org/W2086936614","https://openalex.org/W2158086406","https://openalex.org/W2159498975","https://openalex.org/W2294552621"],"related_works":["https://openalex.org/W2317392152","https://openalex.org/W1595449537","https://openalex.org/W1549409803","https://openalex.org/W4367358544","https://openalex.org/W2382778578","https://openalex.org/W2107194032","https://openalex.org/W2021567300","https://openalex.org/W4321274213","https://openalex.org/W2358414325","https://openalex.org/W2097543711"],"abstract_inverted_index":{"The":[0,13,29,60],"role":[1],"of":[2,16,43,57,62],"moments":[3],"in":[4,65],"image":[5],"normalization":[6,58,64],"and":[7,22,36],"invariant":[8],"pattern":[9,66],"recognition":[10,49,67],"is":[11,20,39,68],"addressed.":[12],"classical":[14],"idea":[15],"the":[17],"principal":[18],"axes":[19],"analyzed":[21],"extended":[23],"to":[24,47],"a":[25,54],"more":[26],"general":[27],"definition.":[28],"relationship":[30],"between":[31],"moment-based":[32,63],"normalization,":[33],"moment":[34],"invariants,":[35],"circular":[37],"harmonics":[38],"established.":[40],"Invariance":[41],"properties":[42],"moments,":[44],"as":[45],"opposed":[46],"their":[48],"properties,":[50],"are":[51],"identified":[52],"using":[53],"new":[55],"class":[56],"procedures.":[59],"application":[61],"demonstrated":[69],"by":[70],"experiment.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}
