{"id":"https://openalex.org/W1983721957","doi":"https://doi.org/10.1137/s0036141002409945","title":"Supremal Multiscale Signal Analysis","display_name":"Supremal Multiscale Signal Analysis","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1983721957","doi":"https://doi.org/10.1137/s0036141002409945","mag":"1983721957"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141002409945","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141002409945","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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/A5026990034","display_name":"Ulisses Braga-Neto","orcid":"https://orcid.org/0000-0002-1210-2173"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ulisses Braga-Neto","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040506666","display_name":"John Goutsias","orcid":"https://orcid.org/0000-0002-0192-3857"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John Goutsias","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026990034"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4508,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.88540747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"36","issue":"1","first_page":"94","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9970999956130981,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9955999851226807,"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/mathematics","display_name":"Mathematics","score":0.5815219283103943},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5284545421600342},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48063674569129944},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4803544282913208},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.4612063765525818},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.45710572600364685},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.4380958080291748},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.43626198172569275},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38129696249961853},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.36850666999816895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35044002532958984},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.12795022130012512},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.08527535200119019}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5815219283103943},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5284545421600342},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48063674569129944},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4803544282913208},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.4612063765525818},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.45710572600364685},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.4380958080291748},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.43626198172569275},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38129696249961853},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.36850666999816895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35044002532958984},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.12795022130012512},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.08527535200119019},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036141002409945","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141002409945","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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":34,"referenced_works":["https://openalex.org/W23044499","https://openalex.org/W73118757","https://openalex.org/W1480546554","https://openalex.org/W1508596486","https://openalex.org/W1516578265","https://openalex.org/W1532572419","https://openalex.org/W1588513474","https://openalex.org/W1590218343","https://openalex.org/W1657705490","https://openalex.org/W1963679837","https://openalex.org/W1980149518","https://openalex.org/W2007275810","https://openalex.org/W2014217370","https://openalex.org/W2022735534","https://openalex.org/W2022879312","https://openalex.org/W2042243448","https://openalex.org/W2064619185","https://openalex.org/W2065164181","https://openalex.org/W2076035429","https://openalex.org/W2102750894","https://openalex.org/W2103933679","https://openalex.org/W2112328181","https://openalex.org/W2114926173","https://openalex.org/W2115755118","https://openalex.org/W2130630043","https://openalex.org/W2132934990","https://openalex.org/W2132984323","https://openalex.org/W2146842130","https://openalex.org/W2148182078","https://openalex.org/W2150134853","https://openalex.org/W2157840858","https://openalex.org/W2161856360","https://openalex.org/W2162395308","https://openalex.org/W4256117910"],"related_works":["https://openalex.org/W1586076277","https://openalex.org/W2382665781","https://openalex.org/W2032529054","https://openalex.org/W433234986","https://openalex.org/W103340044","https://openalex.org/W2140636190","https://openalex.org/W2058740282","https://openalex.org/W2594476094","https://openalex.org/W2375111338","https://openalex.org/W2220864757"],"abstract_inverted_index":{"We":[0,99,242],"introduce":[1],"a":[2,21,26,37,106,118,199],"novel":[3],"approach":[4,19],"to":[5,12,36,53,69,104,141,222,234],"nonlinear":[6,29,97,224],"signal":[7,31,45],"analysis,":[8],"which":[9],"is":[10,51,65,139,160],"referred":[11,140],"as":[13,85,142,163,165],"supremal":[14,55,101,144,216],"multiscale":[15,30,102,107,145,155,217],"analysis.":[16,48],"The":[17,136],"proposed":[18,57],"provides":[20],"rigorous":[22],"mathematical":[23,114],"foundation":[24],"for":[25,226],"class":[27],"of":[28,75,126,180,195],"analysis":[32,103,123,146,157,218,230],"schemes":[33],"and":[34,47,60,64,77,89,124,134,147,167,229,247,254],"leads":[35],"decomposition":[38,109,213],"that":[39,116,231],"can":[40,219],"effectively":[41],"be":[42,220],"used":[43,221],"in":[44,67,121,198,251],"processing":[46,228],"Moreover,":[49,170],"it":[50,171,190],"related":[52],"the":[54,70,122,177,192],"scale-spaces":[56],"by":[58,94,128,153,203,214],"Heijmans":[59],"van":[61],"den":[62],"Boomgaard":[63],"similar":[66],"flavor":[68],"well-known":[71],"linear":[72,82,90,238],"multiresolution":[73],"theory":[74],"Mallat":[76],"Meyer.":[78],"In":[79],"this":[80],"framework,":[81],"concepts":[83,115],"such":[84,245],"vector":[86],"spaces,":[87],"projections,":[88],"operators":[91],"are":[92,240],"replaced":[93],"conceptually":[95],"analogous":[96],"notions.":[98],"use":[100,250],"construct":[105,223],"image":[108,156,182,197,227],"scheme":[110,138],"based":[111],"on":[112],"two":[113],"play":[117],"key":[119],"role":[120],"interpretation":[125],"images":[127],"vision":[129],"systems,":[130],"namely,":[131],"regional":[132,193],"maxima":[133,194,207],"connectivity.":[135],"resulting":[137],"skyline":[143,215],"satisfies":[148],"several":[149],"useful":[150],"properties":[151],"desired":[152],"any":[154],"tool.":[158],"It":[159],"grayscale":[161],"invariant,":[162],"well":[164],"translation":[166],"scale":[168],"invariant.":[169],"progressively":[172],"removes":[173],"connected":[174],"components":[175],"from":[176],"level":[178],"sets":[179],"an":[181,196],"without":[183,208],"introducing":[184,209],"new":[185,210],"ones.":[186,211],"But,":[187],"most":[188],"importantly,":[189],"decomposes":[191],"natural":[200],"causal":[201],"hierarchy":[202],"gradually":[204],"removing":[205],"these":[206],"Image":[212],"tools":[225],"provide":[232],"solutions":[233],"problems":[235],"where":[236],"traditional":[237],"techniques":[239],"ineffective.":[241],"discuss":[243],"one":[244],"tool":[246],"illustrate":[248],"its":[249],"object-based":[252],"extraction":[253],"denoising.":[255]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
