{"id":"https://openalex.org/W2099889638","doi":"https://doi.org/10.1186/1687-6180-2012-181","title":"Using Peano\u2013Hilbert space filling curves for fast bidimensional ensemble EMD realization","display_name":"Using Peano\u2013Hilbert space filling curves for fast bidimensional ensemble EMD realization","publication_year":2012,"publication_date":"2012-08-21","ids":{"openalex":"https://openalex.org/W2099889638","doi":"https://doi.org/10.1186/1687-6180-2012-181","mag":"2099889638"},"language":"en","primary_location":{"id":"doi:10.1186/1687-6180-2012-181","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2012-181","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2012-181","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2012-181","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068568951","display_name":"Paulo Manuel Costa","orcid":"https://orcid.org/0000-0003-0862-1429"},"institutions":[{"id":"https://openalex.org/I169427155","display_name":"Instituto Polit\u00e9cnico de Leiria","ror":"https://ror.org/010dvvh94","country_code":"PT","type":"education","lineage":["https://openalex.org/I169427155"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Paulo Costa","raw_affiliation_strings":["School of Technology and Management, Polytechnic Institute of Leiria, 2411-901, Leiria, Portugal","School of Technology and Management, Polytechnic Institute of Leiria, Leiria, Portugal"],"affiliations":[{"raw_affiliation_string":"School of Technology and Management, Polytechnic Institute of Leiria, 2411-901, Leiria, Portugal","institution_ids":["https://openalex.org/I169427155"]},{"raw_affiliation_string":"School of Technology and Management, Polytechnic Institute of Leiria, Leiria, Portugal","institution_ids":["https://openalex.org/I169427155"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078919198","display_name":"Jo\u00e3o Barroso","orcid":"https://orcid.org/0000-0003-4847-5104"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jo\u00e3o Barroso","raw_affiliation_strings":["GECAD \u2013 Knowledge Engineering and Decision Support Research Centre, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"GECAD \u2013 Knowledge Engineering and Decision Support Research Centre, Porto, Portugal","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091792099","display_name":"Hugo Fernandes","orcid":"https://orcid.org/0000-0002-2135-4110"},"institutions":[{"id":"https://openalex.org/I155381812","display_name":"University of Tr\u00e1s-os-Montes and Alto Douro","ror":"https://ror.org/03qc8vh97","country_code":"PT","type":"education","lineage":["https://openalex.org/I155381812"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Hugo Fernandes","raw_affiliation_strings":["University of Tr\u00e1s-os-Montes and Alto Douro, Vila Real, Portugal","University of Tr\u00e1s-os-Montes and Alto Douro Vila Real Portugal"],"affiliations":[{"raw_affiliation_string":"University of Tr\u00e1s-os-Montes and Alto Douro, Vila Real, Portugal","institution_ids":["https://openalex.org/I155381812"]},{"raw_affiliation_string":"University of Tr\u00e1s-os-Montes and Alto Douro Vila Real Portugal","institution_ids":["https://openalex.org/I155381812"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072772953","display_name":"Leontios J. Hadjileontiadis","orcid":"https://orcid.org/0000-0002-9932-9302"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Leontios J Hadjileontiadis","raw_affiliation_strings":["Division of Telecommunications, Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece","Division of Telecommunications, Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece#TAB#"],"affiliations":[{"raw_affiliation_string":"Division of Telecommunications, Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece","institution_ids":["https://openalex.org/I21370196"]},{"raw_affiliation_string":"Division of Telecommunications, Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece#TAB#","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068568951"],"corresponding_institution_ids":["https://openalex.org/I169427155"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.0,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.16569203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9776999950408936,"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/hilbert\u2013huang-transform","display_name":"Hilbert\u2013Huang transform","score":0.9379392266273499},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.658919632434845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.564172089099884},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.5429714322090149},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5295266509056091},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.48956403136253357},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.47358614206314087},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.4414561986923218},{"id":"https://openalex.org/keywords/hilbert-transform","display_name":"Hilbert transform","score":0.4289873242378235},{"id":"https://openalex.org/keywords/hilbert-curve","display_name":"Hilbert curve","score":0.41062474250793457},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4026281237602234},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.38369521498680115},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.32375144958496094},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.3140961527824402},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.2693963646888733},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13948005437850952},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09571772813796997}],"concepts":[{"id":"https://openalex.org/C25570617","wikidata":"https://www.wikidata.org/wiki/Q1006462","display_name":"Hilbert\u2013Huang transform","level":3,"score":0.9379392266273499},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.658919632434845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.564172089099884},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.5429714322090149},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5295266509056091},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.48956403136253357},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.47358614206314087},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4414561986923218},{"id":"https://openalex.org/C28799612","wikidata":"https://www.wikidata.org/wiki/Q685437","display_name":"Hilbert transform","level":3,"score":0.4289873242378235},{"id":"https://openalex.org/C2781142347","wikidata":"https://www.wikidata.org/wiki/Q1366592","display_name":"Hilbert curve","level":2,"score":0.41062474250793457},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4026281237602234},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.38369521498680115},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.32375144958496094},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.3140961527824402},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.2693963646888733},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13948005437850952},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09571772813796997},{"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:10.1186/1687-6180-2012-181","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2012-181","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2012-181","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1186/1687-6180-2012-181","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2012-181","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2012-181","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6299983296","display_name":null,"funder_award_id":"PTDC/","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7049410507","display_name":null,"funder_award_id":"Portuguese Foundation for Science","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G943999617","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2099889638.pdf","grobid_xml":"https://content.openalex.org/works/W2099889638.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1976836781","https://openalex.org/W2007221293","https://openalex.org/W2009782408","https://openalex.org/W2053514415","https://openalex.org/W2098395403","https://openalex.org/W2106665847","https://openalex.org/W2117078185","https://openalex.org/W2120390927","https://openalex.org/W2122470043","https://openalex.org/W2124108716","https://openalex.org/W2124989332","https://openalex.org/W2133059825","https://openalex.org/W2145885328","https://openalex.org/W2146432373","https://openalex.org/W2150072852","https://openalex.org/W2153158528"],"related_works":["https://openalex.org/W2083592477","https://openalex.org/W2363056446","https://openalex.org/W2353960620","https://openalex.org/W2107880197","https://openalex.org/W3190676168","https://openalex.org/W2004948286","https://openalex.org/W2060439639","https://openalex.org/W2074184731","https://openalex.org/W1986719249","https://openalex.org/W154554909"],"abstract_inverted_index":{"Empirical":[0],"mode":[1],"decomposition":[2],"(EMD)":[3],"is":[4,22],"a":[5,50,68],"fully":[6],"unsupervised":[7],"and":[8,16],"data-driven":[9],"approach":[10,21],"to":[11,26,35,74],"the":[12,80,84],"class":[13],"of":[14,54],"nonlinear":[15],"non-stationary":[17],"signals.":[18],"A":[19],"new":[20,88],"proposed,":[23],"namely":[24],"PHEEMD,":[25],"image":[27],"analysis":[28],"by":[29,44],"using":[30],"Peano\u2013Hilbert":[31],"space":[32],"filling":[33],"curves":[34],"transform":[36],"2D":[37],"data":[38],"(image)":[39],"into":[40],"1D":[41],"data,":[42],"followed":[43],"ensemble":[45],"EMD":[46,55,85],"(EEMD)":[47],"analysis,":[48],"i.e.,":[49],"more":[51],"robust":[52],"realization":[53],"based":[56],"on":[57],"white":[58],"noise":[59],"excitation.":[60],"Tests\u2019":[61],"results":[62],"have":[63],"shown":[64],"that":[65],"PHEEMD":[66],"exhibits":[67],"substantially":[69],"reduced":[70],"computational":[71,95],"cost":[72],"compared":[73],"other":[75],"2D-EMD":[76],"approaches,":[77],"preserving,":[78],"simultaneously,":[79],"information":[81],"lying":[82],"at":[83],"domain;":[86],"hence,":[87],"perspectives":[89],"for":[90],"its":[91],"use":[92],"in":[93],"low":[94],"power":[96],"devices,":[97],"like":[98],"portable":[99],"applications,":[100],"are":[101],"feasible.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-09T08:58:05.943551","created_date":"2025-10-10T00:00:00"}
