{"id":"https://openalex.org/W2026722192","doi":"https://doi.org/10.1137/130939912","title":"Synchrosqueezed Curvelet Transform for Two-Dimensional Mode Decomposition","display_name":"Synchrosqueezed Curvelet Transform for Two-Dimensional Mode Decomposition","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2026722192","doi":"https://doi.org/10.1137/130939912","mag":"2026722192"},"language":"en","primary_location":{"id":"doi:10.1137/130939912","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130939912","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10161/11656","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079602544","display_name":"Haizhao Yang","orcid":"https://orcid.org/0000-0002-8408-1754"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haizhao Yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5011918131","display_name":"Lexing Ying","orcid":"https://orcid.org/0000-0003-1547-1457"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lexing Ying","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.8937,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.96424394,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"46","issue":"3","first_page":"2052","last_page":"2083"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9969000220298767,"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":0.9969000220298767,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9911999702453613,"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/curvelet","display_name":"Curvelet","score":0.8728492259979248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6540108919143677},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.614708662033081},{"id":"https://openalex.org/keywords/s-transform","display_name":"S transform","score":0.596238911151886},{"id":"https://openalex.org/keywords/wavefront","display_name":"Wavefront","score":0.501835823059082},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.47042298316955566},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4509739577770233},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.44739970564842224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3568624258041382},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25910863280296326},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23070812225341797},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.23019006848335266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19862627983093262},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11067447066307068},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10395434498786926},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.09295085072517395}],"concepts":[{"id":"https://openalex.org/C131720326","wikidata":"https://www.wikidata.org/wiki/Q5196075","display_name":"Curvelet","level":4,"score":0.8728492259979248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6540108919143677},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.614708662033081},{"id":"https://openalex.org/C99234102","wikidata":"https://www.wikidata.org/wiki/Q7395403","display_name":"S transform","level":5,"score":0.596238911151886},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.501835823059082},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.47042298316955566},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4509739577770233},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.44739970564842224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3568624258041382},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25910863280296326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23070812225341797},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.23019006848335266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19862627983093262},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11067447066307068},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10395434498786926},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.09295085072517395},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/130939912","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130939912","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.740.873","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.740.873","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1310.6079.pdf","raw_type":"text"},{"id":"pmh:oai:dukespace.lib.duke.edu:10161/11656","is_oa":true,"landing_page_url":"http://hdl.handle.net/10161/11656","pdf_url":null,"source":{"id":"https://openalex.org/S4306400687","display_name":"DukeSpace (Duke University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170897317","host_organization_name":"Duke University","host_organization_lineage":["https://openalex.org/I170897317"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:dukespace.lib.duke.edu:10161/11656","is_oa":true,"landing_page_url":"http://hdl.handle.net/10161/11656","pdf_url":null,"source":{"id":"https://openalex.org/S4306400687","display_name":"DukeSpace (Duke University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170897317","host_organization_name":"Duke University","host_organization_lineage":["https://openalex.org/I170897317"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W139969942","https://openalex.org/W1485781512","https://openalex.org/W1762506961","https://openalex.org/W1963480490","https://openalex.org/W1973232310","https://openalex.org/W1976836781","https://openalex.org/W1979116456","https://openalex.org/W2007221293","https://openalex.org/W2019900743","https://openalex.org/W2025016692","https://openalex.org/W2028497691","https://openalex.org/W2042527479","https://openalex.org/W2064559229","https://openalex.org/W2069912449","https://openalex.org/W2090218979","https://openalex.org/W2110983594","https://openalex.org/W2113193347","https://openalex.org/W2115528090","https://openalex.org/W2119589101","https://openalex.org/W2120390927","https://openalex.org/W2122470043","https://openalex.org/W2132680427","https://openalex.org/W2135896478","https://openalex.org/W2139663179","https://openalex.org/W2140147143","https://openalex.org/W2150470619","https://openalex.org/W2160724632","https://openalex.org/W2162547327","https://openalex.org/W2171487891","https://openalex.org/W2293520896","https://openalex.org/W2478241477","https://openalex.org/W2963917297","https://openalex.org/W3145128584","https://openalex.org/W4206370502"],"related_works":["https://openalex.org/W2034537686","https://openalex.org/W2055157212","https://openalex.org/W2095553100","https://openalex.org/W2384626809","https://openalex.org/W2373515574","https://openalex.org/W2103042932","https://openalex.org/W2135084094","https://openalex.org/W1544775928","https://openalex.org/W2094071586","https://openalex.org/W1657057259"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"the":[3,48,64,83,108,112],"synchrosqueezed":[4,22,65],"curvelet":[5,23,29,66],"transform":[6,24,30,67,85],"as":[7],"an":[8],"optimal":[9],"tool":[10],"for":[11,41,90],"two-dimensional":[12],"mode":[13],"decomposition":[14,91],"of":[15,26,50,53,70,82,111],"wavefronts":[16],"or":[17],"banded":[18,54],"wave-like":[19,55],"components.":[20],"The":[21],"consists":[25],"a":[27,38,42,51],"generalized":[28],"with":[31,57,99],"application":[32],"dependent":[33],"geometric":[34],"scaling":[35],"parameters,":[36],"and":[37,74,86,101],"synchrosqueezing":[39],"technique":[40],"sharpened":[43],"phase":[44],"space":[45],"representation.":[46],"In":[47],"case":[49],"superposition":[52],"components":[56],"well-separated":[58],"wave-vectors,":[59],"it":[60],"is":[61,68],"proved":[62],"that":[63],"capable":[69],"recognizing":[71],"each":[72],"component":[73],"precisely":[75],"estimating":[76],"local":[77],"wave-vectors.":[78],"A":[79],"discrete":[80],"analogue":[81],"continuous":[84],"several":[87],"clustering":[88],"models":[89],"are":[92,104],"proposed":[93,113],"in":[94],"detail.":[95],"Some":[96],"numerical":[97],"examples":[98],"synthetic":[100],"real":[102],"data":[103],"provided":[105],"to":[106],"demonstrate":[107],"above":[109],"properties":[110],"transform.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}