{"id":"https://openalex.org/W1981908004","doi":"https://doi.org/10.1117/12.2180706","title":"Orthogonal wavelet moments and their multifractal invariants","display_name":"Orthogonal wavelet moments and their multifractal invariants","publication_year":2015,"publication_date":"2015-02-11","ids":{"openalex":"https://openalex.org/W1981908004","doi":"https://doi.org/10.1117/12.2180706","mag":"1981908004"},"language":"en","primary_location":{"id":"doi:10.1117/12.2180706","doi":"https://doi.org/10.1117/12.2180706","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.2180706","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPIE Proceedings","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5086829980","display_name":"Dm.V. Uchaev","orcid":"https://orcid.org/0000-0002-4227-5956","observed_orcids":["https://orcid.org/0000-0002-4227-5956"]},"institutions":[{"id":"https://openalex.org/I4210123507","display_name":"Moscow State University of Geodesy and Cartography","ror":"https://ror.org/035jyty51","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210123507"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Dm. V. Uchaev","raw_affiliation_strings":["Moscow State Univ. of Geodesy and Cartography (Russian Federation)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State Univ. of Geodesy and Cartography (Russian Federation)","institution_ids":["https://openalex.org/I4210123507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086829980","display_name":"Dm.V. Uchaev","orcid":"https://orcid.org/0000-0002-4227-5956","observed_orcids":["https://orcid.org/0000-0002-4227-5956"]},"institutions":[{"id":"https://openalex.org/I4210123507","display_name":"Moscow State University of Geodesy and Cartography","ror":"https://ror.org/035jyty51","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210123507"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"D. V. Uchaev","raw_affiliation_strings":["Moscow State Univ. of Geodesy and Cartography (Russian Federation)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State Univ. of Geodesy and Cartography (Russian Federation)","institution_ids":["https://openalex.org/I4210123507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033502192","display_name":"Vasiliy A. Malinnikov","orcid":"https://orcid.org/0000-0002-8663-755X","observed_orcids":["https://orcid.org/0000-0002-8663-755X"]},"institutions":[{"id":"https://openalex.org/I4210123507","display_name":"Moscow State University of Geodesy and Cartography","ror":"https://ror.org/035jyty51","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210123507"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. A. Malinnikov","raw_affiliation_strings":["Moscow State Univ. of Geodesy and Cartography (Russian Federation)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State Univ. of Geodesy and Cartography (Russian Federation)","institution_ids":["https://openalex.org/I4210123507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210123507"],"apc_list":null,"apc_paid":null,"fwci":0.2673,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52850153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"9445","issue":null,"first_page":"94450U","last_page":"94450U"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.5586000084877014,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.5586000084877014,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.18250000476837158,"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":0.12250000238418579,"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/wavelet-moments","display_name":"wavelet moments","score":0.9700000286102295},{"id":"https://openalex.org/keywords/orthogonal-moments","display_name":"orthogonal moments","score":0.7540000081062317},{"id":"https://openalex.org/keywords/multiresolution-image-representation","display_name":"multiresolution image representation","score":0.9409999847412109},{"id":"https://openalex.org/keywords/image-reconstruction","display_name":"image reconstruction","score":0.996999979019165},{"id":"https://openalex.org/keywords/image-denoising","display_name":"image denoising","score":0.9589999914169312},{"id":"https://openalex.org/keywords/image-smoothing","display_name":"image smoothing","score":0.9169999957084656},{"id":"https://openalex.org/keywords/image-sharpening","display_name":"image sharpening","score":0.890999972820282}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8185561299324036},{"id":"https://openalex.org/C2781137444","wikidata":"https://www.wikidata.org/wiki/Q237105","display_name":"Sharpening","level":2,"score":0.6788718700408936},{"id":"https://openalex.org/C2777451244","wikidata":"https://www.wikidata.org/wiki/Q3352512","display_name":"Orthogonal wavelet","level":5,"score":0.5638951659202576},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5376421809196472},{"id":"https://openalex.org/C133905733","wikidata":"https://www.wikidata.org/wiki/Q2629238","display_name":"Multifractal system","level":3,"score":0.5113555788993835},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.5109997987747192},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4908030927181244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.48890677094459534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47242748737335205},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4623516798019409},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.45155560970306396},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4136464595794678},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.4102402627468109},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40419667959213257},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.37533679604530334},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3423340320587158},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.34214940667152405},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.29492780566215515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21882924437522888},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.1293047070503235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11799740791320801},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1117/12.2180706","doi":"https://doi.org/10.1117/12.2180706","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.2180706","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPIE Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W358380361","https://openalex.org/W1541215224","https://openalex.org/W1557598264","https://openalex.org/W1897309641","https://openalex.org/W1967429966","https://openalex.org/W1983696635","https://openalex.org/W1990861225","https://openalex.org/W1991571173","https://openalex.org/W2067670474","https://openalex.org/W2086936614","https://openalex.org/W2095392902","https://openalex.org/W2098280924","https://openalex.org/W2124041826","https://openalex.org/W2142315158","https://openalex.org/W2148410999","https://openalex.org/W2154347168","https://openalex.org/W2161919449","https://openalex.org/W2162355742","https://openalex.org/W2162965487","https://openalex.org/W2170363608","https://openalex.org/W6632597857"],"related_works":["https://openalex.org/W2110151376","https://openalex.org/W1967429966","https://openalex.org/W2090466258","https://openalex.org/W2939927364","https://openalex.org/W2567395055","https://openalex.org/W1977418991","https://openalex.org/W317671949","https://openalex.org/W2371497031","https://openalex.org/W2359642348","https://openalex.org/W2040247646"],"abstract_inverted_index":{"This":[0],"paper":[1,42],"introduces":[2,44],"a":[3],"new":[4],"family":[5],"of":[6,17,48,55,69,90],"moments,":[7],"namely":[8],"orthogonal":[9,15,97],"wavelet":[10,18],"moments":[11,19,30,98],"(OWMs),":[12],"which":[13,50],"are":[14],"realization":[16],"(WMs).":[20],"In":[21],"contrast":[22],"to":[23,102],"WMs":[24],"with":[25,61],"nonorthogonal":[26],"kernel":[27],"function,":[28],"these":[29],"can":[31,51,71,92],"be":[32,52,73,93],"used":[33,53,74],"for":[34,75,88,106],"multiresolution":[35],"image":[36,39,76],"representation":[37],"and":[38,63,79,100],"reconstruction.":[40],"The":[41],"also":[43,72],"multifractal":[45],"invariants":[46],"(MIs)":[47],"OWMs":[49,70,91],"instead":[54],"OWMs.":[56],"Some":[57],"reconstruction":[58,86,104],"tests":[59],"performed":[60],"noise-free":[62],"noisy":[64],"images":[65],"demonstrate":[66],"that":[67,84],"MIs":[68,89],"smoothing,":[77],"sharpening":[78],"denoising.":[80],"It":[81],"is":[82],"established":[83],"the":[85,103,107,112],"quality":[87,105],"better":[94],"than":[95],"corresponding":[96],"(OMs)":[99],"reduces":[101],"OMs":[108],"if":[109],"we":[110],"use":[111],"zero":[113],"scale":[114],"level.":[115]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
