{"id":"https://openalex.org/W2009304698","doi":"https://doi.org/10.1109/tc.1973.5009186","title":"A Nonlinear Transformation for Digital Picture Processing","display_name":"A Nonlinear Transformation for Digital Picture Processing","publication_year":1973,"publication_date":"1973-09-01","ids":{"openalex":"https://openalex.org/W2009304698","doi":"https://doi.org/10.1109/tc.1973.5009186","mag":"2009304698"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1973.5009186","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1973.5009186","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Computers","raw_type":"journal-article"},"type":"article","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/A5049179521","display_name":"Thomas G. Newman","orcid":null},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas G. Newman","raw_affiliation_strings":["Department of Mathematics, Texas Tech University, Lubbock, TX, USA","Department of Mathematics, Texas Tech University, Lubbock, Tex. 79409"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas Tech University, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics, Texas Tech University, Lubbock, Tex. 79409","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025068466","display_name":"Hudai Dirilten","orcid":null},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hudai Dirilten","raw_affiliation_strings":["Department of Electrical Engineering, Texas Tech University, Lubbock, TX, USA","Department of Electrical Engineering, Texas Tech University, Lubbock, Tex. 79409"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Texas Tech University, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Electrical Engineering, Texas Tech University, Lubbock, Tex. 79409","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049179521"],"corresponding_institution_ids":["https://openalex.org/I12315562"],"apc_list":null,"apc_paid":null,"fwci":2.82522524,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.90153846,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"C-22","issue":"9","first_page":"869","last_page":"873"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9962999820709229,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9962999820709229,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.991100013256073,"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/T13579","display_name":"Image and Video Stabilization","score":0.974399983882904,"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/transformation","display_name":"Transformation (genetics)","score":0.8347576856613159},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6542003154754639},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6420871615409851},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5264694690704346},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5180056691169739},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.46540647745132446},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.45199280977249146},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.42390140891075134},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3204286992549896},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31947749853134155},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29611194133758545},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.2137109339237213},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1620410978794098},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07310888171195984}],"concepts":[{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.8347576856613159},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6542003154754639},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6420871615409851},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5264694690704346},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5180056691169739},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.46540647745132446},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.45199280977249146},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.42390140891075134},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3204286992549896},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31947749853134155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29611194133758545},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.2137109339237213},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1620410978794098},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07310888171195984},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1973.5009186","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1973.5009186","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1968245656","https://openalex.org/W2057683929","https://openalex.org/W2070792131","https://openalex.org/W3096692202"],"related_works":["https://openalex.org/W2353644209","https://openalex.org/W2593663830","https://openalex.org/W2348743188","https://openalex.org/W2367141959","https://openalex.org/W2363622383","https://openalex.org/W1972607775","https://openalex.org/W2131169870","https://openalex.org/W3014136459","https://openalex.org/W2383559214","https://openalex.org/W2054379347"],"abstract_inverted_index":{"A":[0],"nonlinear":[1],"picture-to-picture":[2],"transformation":[3,43],"is":[4,17,45],"introduced":[5],"and":[6],"compared":[7],"with":[8],"a":[9,35],"straightforward":[10],"linear":[11],"transformation.":[12],"The":[13,42],"criterion":[14],"for":[15],"comparison":[16],"based":[18],"on":[19],"the":[20],"desire":[21],"to":[22,47,50],"smooth":[23],"noisy":[24],"or":[25],"textured":[26],"regions":[27],"while":[28],"retaining":[29],"edge":[30],"definition.":[31],"Selected":[32],"examples":[33],"from":[34],"large":[36],"number":[37],"of":[38],"simulations":[39],"are":[40],"presented.":[41],"presented":[44],"believed":[46],"be":[48],"superior":[49],"many":[51],"techniques":[52],"presently":[53],"being":[54],"employed.":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}