{"id":"https://openalex.org/W2065005134","doi":"https://doi.org/10.2478/cmam-2009-0019","title":"Image Edge Respecting Denoising with Edge Denoising by a Designer Nonisotropic Structure Tensor Method","display_name":"Image Edge Respecting Denoising with Edge Denoising by a Designer Nonisotropic Structure Tensor Method","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2065005134","doi":"https://doi.org/10.2478/cmam-2009-0019","mag":"2065005134"},"language":"en","primary_location":{"id":"doi:10.2478/cmam-2009-0019","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0019","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0019/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0019/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007069209","display_name":"Naratip Santitissadeekorn","orcid":"https://orcid.org/0000-0001-5579-0458"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"N. Santitissadeekorn","raw_affiliation_strings":["1School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia"],"affiliations":[{"raw_affiliation_string":"1School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003961936","display_name":"Erik M. Bollt","orcid":"https://orcid.org/0000-0001-7083-7592"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E.M. Bollt","raw_affiliation_strings":["2Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA"],"affiliations":[{"raw_affiliation_string":"2Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007069209"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":0.3236,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59238907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"3","first_page":"309","last_page":"318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9984999895095825,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9984999895095825,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9947999715805054,"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/T12859","display_name":"Cell Image Analysis Techniques","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6732975840568542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6279418468475342},{"id":"https://openalex.org/keywords/energy-functional","display_name":"Energy functional","score":0.5886312127113342},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5733256936073303},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5563216805458069},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.44852158427238464},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43534091114997864},{"id":"https://openalex.org/keywords/energy-minimization","display_name":"Energy minimization","score":0.42025265097618103},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4195308983325958},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3642970621585846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.320825457572937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23762759566307068},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2159784436225891}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6732975840568542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6279418468475342},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.5886312127113342},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5733256936073303},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5563216805458069},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.44852158427238464},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43534091114997864},{"id":"https://openalex.org/C14961307","wikidata":"https://www.wikidata.org/wiki/Q5377176","display_name":"Energy minimization","level":2,"score":0.42025265097618103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4195308983325958},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3642970621585846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.320825457572937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23762759566307068},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2159784436225891},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2478/cmam-2009-0019","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0019","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0019/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:alma.44SUR_INST:11140100330002346","is_oa":false,"landing_page_url":"https://openresearch.surrey.ac.uk/esploro/outputs/journalArticle/Image-Edge-Respecting-Denoising-with-Edge/99516808502346","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:epubs.surrey.ac.uk:838801","is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/838801/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"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"}],"best_oa_location":{"id":"doi:10.2478/cmam-2009-0019","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0019","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0019/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8899999856948853}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2065005134.pdf","grobid_xml":"https://content.openalex.org/works/W2065005134.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1496099826","https://openalex.org/W2006262236","https://openalex.org/W2017514550","https://openalex.org/W2020999234","https://openalex.org/W2031312034","https://openalex.org/W2103559027","https://openalex.org/W2105910985","https://openalex.org/W2114487471","https://openalex.org/W2146052399","https://openalex.org/W2146842127","https://openalex.org/W2150134853","https://openalex.org/W2158940042","https://openalex.org/W2913192828","https://openalex.org/W4244769743","https://openalex.org/W6632154478"],"related_works":["https://openalex.org/W3209466624","https://openalex.org/W4281970230","https://openalex.org/W2790241549","https://openalex.org/W752953485","https://openalex.org/W2891476794","https://openalex.org/W1919852759","https://openalex.org/W323176183","https://openalex.org/W2166742209","https://openalex.org/W2117492752","https://openalex.org/W3105660112"],"abstract_inverted_index":{"Abstract":[0],"We":[1,21,152],"consider":[2],"image":[3,36],"denoising":[4],"as":[5,181,195],"the":[6,19,44,61,65,68,77,102,115,124,136,144,178,216,225,229,242,256,261],"problem":[7],"of":[8,35,43,67,89,117,177,188,228,263],"removing":[9],"spurious":[10],"oscillations":[11],"due":[12],"to":[13,26,31,38,53,59,131,142,147,157,171,236,247,254,259,276],"noise":[14,221],"while":[15],"preserving":[16],"edges":[17,214,265],"in":[18,86,110,168,212,224,241],"images.":[20],"will":[22],"suggest":[23],"here":[24,154,234],"how":[25],"directly":[27],"make":[28],"infinitesimal":[29],"adjustment":[30],"standard":[32,48],"variational":[33,119],"methods":[34],"denoising,":[37],"enhance":[39,172],"desirable":[40,174],"target":[41],"assumption":[42],"noiseless":[45],"image.":[46,230],"The":[47,105,231],"regularization":[49,240],"method":[50,156],"is":[51,73,82,98,113,139,218,222,235],"used":[52,141,165],"define":[54],"a":[55,87,94,118,155,169,196,199],"suitable":[56],"energy":[57,71,166,274],"functional":[58,72,275],"penalize":[60],"data":[62],"fidelity":[63],"and":[64,135,146,220,246,251],"smoothness":[66],"solution.":[69],"This":[70],"tailored":[74],"so":[75],"that":[76,108],"region":[78],"with":[79,202],"small":[80],"gradient":[81,96],"isotropically":[83],"smoothed":[84],"whereas":[85],"neighborhood":[88],"an":[90,149,185,203,238,249,273],"edge":[91,103,182,217],"presented":[92],"by":[93,198],"large":[95],"smoothing":[97,197],"allowed":[99],"only":[100],"along":[101],"contour.":[104],"regularized":[106],"solution":[107,116],"arises":[109],"this":[111,122,193,208],"fashion":[112],"then":[114],"principle.":[120],"To":[121],"end":[123],"associated":[125],"Euler":[126,159],"\u2014":[127,160],"Lagrange":[128],"equation":[129,145,162],"needs":[130],"be":[132,277],"solved":[133],"numerically":[134],"half-quadratic":[137],"minimization":[138],"generally":[140],"linearize":[143],"derive":[148],"iterative":[150],"scheme.":[151],"describe":[153],"modify":[158,255],"Largrange":[161],"from":[163],"commonly":[164],"functionals,":[167],"way":[170,253],"certain":[173],"preconceived":[175],"assumptions":[176],"image,":[179],"such":[180],"preservation.":[183],"From":[184],"algorithmic":[186],"point":[187],"view,":[189],"we":[190,271],"may":[191,210],"deem":[192],"algorithm":[194,209,258],"local":[200],"average":[201],"adaptive":[204],"gradient-based":[205],"weight.":[206],"However,":[207],"result":[211],"noisy":[213,264],"although":[215],"preserved":[219],"suppressed":[223],"low-gradient":[226],"regions":[227],"main":[232],"focus":[233],"present":[237],"edge-preserving":[239],"aforementioned":[243],"view":[244],"point,":[245],"provide":[248],"alternative":[250],"simple":[252],"existing":[257],"mitigate":[260],"phenomena":[262],"without":[266],"explicitly":[267],"defining":[268],"step":[269],"where":[270],"specify":[272],"minimized.":[278]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
