{"id":"https://openalex.org/W3025508745","doi":"https://doi.org/10.1142/s0219691320500381","title":"Multi-dimensional wavelets for scalable image decomposition: Orbital wavelets","display_name":"Multi-dimensional wavelets for scalable image decomposition: Orbital wavelets","publication_year":2020,"publication_date":"2020-05-15","ids":{"openalex":"https://openalex.org/W3025508745","doi":"https://doi.org/10.1142/s0219691320500381","mag":"3025508745"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691320500381","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691320500381","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.07920","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"H. M. de Oliveira","orcid":null},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"H. M. de Oliveira","raw_affiliation_strings":["Departamento de Estat\u00edstica, Universidade Federal de Pernambuco, Recife, PE, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estat\u00edstica, Universidade Federal de Pernambuco, Recife, PE, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"middle","author":{"id":null,"display_name":"V. V. Vermehren","orcid":null},"institutions":[{"id":"https://openalex.org/I4210147594","display_name":"Universidade do Estado do Amazonas","ror":"https://ror.org/04j5z3x06","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210147594"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"V. V. Vermehren","raw_affiliation_strings":["Departamento de Engenharia El\u00e9trica, Universidade do Estado do Amazonas, Manaus, AM, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia El\u00e9trica, Universidade do Estado do Amazonas, Manaus, AM, Brazil","institution_ids":["https://openalex.org/I4210147594"]}]},{"author_position":"last","author":{"id":null,"display_name":"R. J. Cintra","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]},{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR","CA"],"is_corresponding":false,"raw_author_name":"R. J. Cintra","raw_affiliation_strings":["Departamento de Estat\u00edstica, Universidade Federal de Pernambuco, Recife, PE, Brazil","Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estat\u00edstica, Universidade Federal de Pernambuco, Recife, PE, Brazil","institution_ids":["https://openalex.org/I25112270"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2885,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.53543039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"05","first_page":"2050038","last_page":"2050038"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.5304999947547913,"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":0.5304999947547913,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.19900000095367432,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.05429999902844429,"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","display_name":"Wavelet","score":0.8756999969482422},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.6061000227928162},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6004999876022339},{"id":"https://openalex.org/keywords/gabor-wavelet","display_name":"Gabor wavelet","score":0.5878999829292297},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5507000088691711},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.44999998807907104},{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.4410000145435333},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.41190001368522644}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8756999969482422},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.6061000227928162},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6004999876022339},{"id":"https://openalex.org/C136902061","wikidata":"https://www.wikidata.org/wiki/Q16981559","display_name":"Gabor wavelet","level":5,"score":0.5878999829292297},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5507000088691711},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4754999876022339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46129998564720154},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.44999998807907104},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.4410000145435333},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41909998655319214},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.41190001368522644},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.40689998865127563},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.3521000146865845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33570000529289246},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.3336000144481659},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.30309998989105225},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.30140000581741333},{"id":"https://openalex.org/C95722684","wikidata":"https://www.wikidata.org/wiki/Q2622756","display_name":"Continuous wavelet transform","level":5,"score":0.2727999985218048},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2517000138759613},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219691320500381","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691320500381","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.07920","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.07920","pdf_url":"https://arxiv.org/pdf/2006.07920","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2006.07920","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.07920","pdf_url":"https://arxiv.org/pdf/2006.07920","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W25399583","https://openalex.org/W1544656812","https://openalex.org/W1603793597","https://openalex.org/W1695349328","https://openalex.org/W1975212181","https://openalex.org/W1977549345","https://openalex.org/W1994406579","https://openalex.org/W1996995551","https://openalex.org/W2023762748","https://openalex.org/W2025968227","https://openalex.org/W2040378863","https://openalex.org/W2068272887","https://openalex.org/W2094746784","https://openalex.org/W2106418470","https://openalex.org/W2111653914","https://openalex.org/W2119445186","https://openalex.org/W2129246419","https://openalex.org/W2139899539","https://openalex.org/W2139939460","https://openalex.org/W2148593155","https://openalex.org/W2160627419","https://openalex.org/W2166087152","https://openalex.org/W2898237357","https://openalex.org/W2967221360","https://openalex.org/W3021706340","https://openalex.org/W4255272544"],"related_works":[],"abstract_inverted_index":{"Wavelets":[0],"are":[1,47],"closely":[2],"related":[3],"to":[4,14,23,60],"Schr\u00f6dinger\u2019s":[5],"wave":[6],"functions":[7],"and":[8],"the":[9,15,34,37,50],"interpretation":[10],"of":[11,17,36,39,52,71],"Born.":[12],"Similar":[13],"appearance":[16],"atomic":[18],"orbital,":[19],"it":[20,57],"is":[21,58,76],"proposed":[22,31],"combine":[24],"anti-symmetric":[25],"wavelets":[26,40],"into":[27],"orbital":[28,45],"wavelets.":[29],"The":[30],"approach":[32],"allows":[33],"increase":[35],"dimension":[38],"through":[41],"this":[42],"process.":[43],"New":[44],"2D-wavelets":[46],"introduced":[48],"for":[49],"decomposition":[51],"still":[53],"images,":[54],"showing":[55],"that":[56],"possible":[59],"perform":[61],"an":[62,73],"analysis":[63,75],"simultaneously":[64],"in":[65],"two":[66],"distinct":[67],"scales.":[68],"An":[69],"example":[70],"such":[72],"image":[74],"shown.":[77]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2020-05-21T00:00:00"}