{"id":"https://openalex.org/W1966989576","doi":"https://doi.org/10.1002/(sici)1098-1098(1998)9:5<356::aid-ima6>3.0.co;2-9","title":"Wavelet-based solution to anisotropic diffusion equation for edge detection","display_name":"Wavelet-based solution to anisotropic diffusion equation for edge detection","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1966989576","doi":"https://doi.org/10.1002/(sici)1098-1098(1998)9:5<356::aid-ima6>3.0.co;2-9","mag":"1966989576"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1098-1098(1998)9:5<356::aid-ima6>3.0.co;2-9","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-1098(1998)9:5<356::aid-ima6>3.0.co;2-9","pdf_url":null,"source":{"id":"https://openalex.org/S15952048","display_name":"International Journal of Imaging Systems and Technology","issn_l":"0899-9457","issn":["0899-9457","1098-1098"],"is_oa":false,"is_in_doaj":false,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Imaging Systems and Technology","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/A5058065285","display_name":"Fred L. Fontaine","orcid":null},"institutions":[{"id":"https://openalex.org/I8031829","display_name":"Cooper Union","ror":"https://ror.org/05pbkcd34","country_code":"US","type":"education","lineage":["https://openalex.org/I8031829"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fred L. Fontaine","raw_affiliation_strings":["Cooper Union for the Advancement of Science, 51 Astor Place, New York, NY 10003"],"affiliations":[{"raw_affiliation_string":"Cooper Union for the Advancement of Science, 51 Astor Place, New York, NY 10003","institution_ids":["https://openalex.org/I8031829"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101641883","display_name":"Sankar Basu","orcid":"https://orcid.org/0000-0001-7154-9330"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sankar Basu","raw_affiliation_strings":["IBM T.J. Watson Research Center, Yorktown Heights, NY 10598","IBM, T.J. Watson Research Center, Yorktown Heights, NY 10598"],"affiliations":[{"raw_affiliation_string":"IBM T.J. Watson Research Center, Yorktown Heights, NY 10598","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM, T.J. Watson Research Center, Yorktown Heights, NY 10598","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058065285"],"corresponding_institution_ids":["https://openalex.org/I8031829"],"apc_list":{"value":3450,"currency":"USD","value_usd":3450},"apc_paid":null,"fwci":0.9922,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.75440773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"9","issue":"5","first_page":"356","last_page":"368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9926000237464905,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7638428211212158},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.7186013460159302},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.6634740829467773},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.611878514289856},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5478305220603943},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.530677855014801},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5145799517631531},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46478816866874695},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43946802616119385},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.43921664357185364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4367119073867798},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.41828683018684387},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3997485041618347},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38506975769996643},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22446128726005554},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12284553050994873}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7638428211212158},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.7186013460159302},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.6634740829467773},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.611878514289856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5478305220603943},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.530677855014801},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5145799517631531},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46478816866874695},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43946802616119385},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.43921664357185364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4367119073867798},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.41828683018684387},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3997485041618347},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38506975769996643},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22446128726005554},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12284553050994873},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1098-1098(1998)9:5<356::aid-ima6>3.0.co;2-9","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-1098(1998)9:5<356::aid-ima6>3.0.co;2-9","pdf_url":null,"source":{"id":"https://openalex.org/S15952048","display_name":"International Journal of Imaging Systems and Technology","issn_l":"0899-9457","issn":["0899-9457","1098-1098"],"is_oa":false,"is_in_doaj":false,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Imaging Systems and Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2407139927","https://openalex.org/W2105274892","https://openalex.org/W2360134645","https://openalex.org/W2389517732","https://openalex.org/W2368979295","https://openalex.org/W1982049299","https://openalex.org/W2109336326","https://openalex.org/W2390549196","https://openalex.org/W2079140219","https://openalex.org/W2353970138"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,19,54,65,76,87],"problem":[3],"of":[4,6,40,61,64,74,81,86,102],"detection":[5],"edges":[7],"in":[8,59],"an":[9,13],"image":[10],"by":[11],"solving":[12,53,107],"anisotropic":[14],"diffusion":[15,55,88],"equation,":[16],"which":[17],"has":[18],"intrinsic":[20],"property":[21],"that":[22],"low-contrast":[23],"regions":[24],"are":[25,30,34],"smoothed":[26],"and":[27,79],"high-contrast":[28],"ones":[29],"enhanced.":[31],"Since":[32],"wavelets":[33],"known":[35],"to":[36],"provide":[37,70],"better":[38],"representation":[39],"singularities":[41],"(i.e.,":[42],"edges),":[43],"a":[44,71,83,99],"more":[45],"efficient":[46],"scheme":[47],"than":[48],"those":[49],"suggested":[50],"earlier":[51],"for":[52,90,106],"equation":[56,89],"is":[57],"formulated":[58],"terms":[60],"wavelet":[62,100],"expansions":[63,68],"image.":[66],"These":[67],"also":[69],"natural":[72],"way":[73],"estimating":[75],"local":[77],"contrast,":[78],"hence":[80],"implementing":[82],"space-varying":[84],"parameterization":[85],"improved":[91],"performance.":[92],"Our":[93],"method":[94],"can":[95],"be":[96],"viewed":[97],"as":[98],"counterpart":[101],"standard":[103],"spectral":[104],"methods":[105],"partial":[108],"differential":[109],"equations.":[110],"\u00a9":[111],"1998":[112,125],"John":[113],"Wiley":[114],"&":[115],"Sons,":[116],"Inc.":[117],"Int":[118],"J":[119],"Imaging":[120],"Syst":[121],"Technol,":[122],"9,":[123],"356\u2013368,":[124]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
