{"id":"https://openalex.org/W3171360752","doi":"https://doi.org/10.1109/tsp.2022.3233309","title":"Slepian Scale-Discretised Wavelets on the Sphere","display_name":"Slepian Scale-Discretised Wavelets on the Sphere","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W3171360752","doi":"https://doi.org/10.1109/tsp.2022.3233309","mag":"3171360752"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2022.3233309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2022.3233309","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2106.02023","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066567514","display_name":"Patrick J. Roddy","orcid":"https://orcid.org/0000-0002-6271-1700"},"institutions":[{"id":"https://openalex.org/I2802488147","display_name":"School of Advanced Study","ror":"https://ror.org/039594g80","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I2802488147"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Patrick J. Roddy","raw_affiliation_strings":["Advanced Research Computing, University College London, London, U.K","University College London\u2020"],"affiliations":[{"raw_affiliation_string":"Advanced Research Computing, University College London, London, U.K","institution_ids":["https://openalex.org/I2802488147","https://openalex.org/I45129253"]},{"raw_affiliation_string":"University College London\u2020","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014128572","display_name":"Jason D. McEwen","orcid":"https://orcid.org/0000-0002-5852-8890"},"institutions":[{"id":"https://openalex.org/I3148377317","display_name":"Department of Space","ror":"https://ror.org/000kjq947","country_code":"IN","type":"government","lineage":["https://openalex.org/I3148377317"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB","IN"],"is_corresponding":false,"raw_author_name":"Jason D. McEwen","raw_affiliation_strings":["Mullard Space Science Laboratory (MSSL), University College London, London, U.K","University College London\u2020"],"affiliations":[{"raw_affiliation_string":"Mullard Space Science Laboratory (MSSL), University College London, London, U.K","institution_ids":["https://openalex.org/I3148377317","https://openalex.org/I45129253"]},{"raw_affiliation_string":"University College London\u2020","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066567514"],"corresponding_institution_ids":["https://openalex.org/I2802488147","https://openalex.org/I45129253"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0029962,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":null,"first_page":"6142","last_page":"6153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9987999796867371,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.8000686764717102},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5904266238212585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5800238251686096},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5720950961112976},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5614137053489685},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.4949743151664734},{"id":"https://openalex.org/keywords/orthogonal-basis","display_name":"Orthogonal basis","score":0.4812697768211365},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43093883991241455},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.4291803240776062},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.41548722982406616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36690425872802734},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3232409656047821},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3205684721469879},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2054087221622467},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20237097144126892},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11575049161911011},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10325905680656433}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8000686764717102},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5904266238212585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5800238251686096},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5720950961112976},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5614137053489685},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.4949743151664734},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.4812697768211365},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43093883991241455},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.4291803240776062},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.41548722982406616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36690425872802734},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3232409656047821},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3205684721469879},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2054087221622467},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20237097144126892},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11575049161911011},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10325905680656433},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tsp.2022.3233309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2022.3233309","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2106.02023","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.02023","pdf_url":"https://arxiv.org/pdf/2106.02023","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},{"id":"mag:3171360752","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2106.02023","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10164545","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10164545/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   IEEE Transactions on Signal Processing , 70    pp. 6142-6153.   (2023)      ","raw_type":"Article"},{"id":"doi:10.48550/arxiv.2106.02023","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2106.02023","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2106.02023","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.02023","pdf_url":"https://arxiv.org/pdf/2106.02023","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7699999809265137}],"awards":[],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320334632","display_name":"Science and Technology Facilities Council","ror":"https://ror.org/057g20z61"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W1969655108","https://openalex.org/W1971571088","https://openalex.org/W1972649231","https://openalex.org/W1983310738","https://openalex.org/W1988532329","https://openalex.org/W1992442261","https://openalex.org/W2001102489","https://openalex.org/W2002961161","https://openalex.org/W2004621162","https://openalex.org/W2006025109","https://openalex.org/W2009180246","https://openalex.org/W2011528629","https://openalex.org/W2020804052","https://openalex.org/W2025806845","https://openalex.org/W2046193047","https://openalex.org/W2049100819","https://openalex.org/W2053987409","https://openalex.org/W2063370166","https://openalex.org/W2065653876","https://openalex.org/W2067111814","https://openalex.org/W2072111195","https://openalex.org/W2072997916","https://openalex.org/W2073596992","https://openalex.org/W2082272630","https://openalex.org/W2088801740","https://openalex.org/W2091487101","https://openalex.org/W2096348897","https://openalex.org/W2099694762","https://openalex.org/W2100952825","https://openalex.org/W2107260249","https://openalex.org/W2107387379","https://openalex.org/W2108917089","https://openalex.org/W2112544671","https://openalex.org/W2116048240","https://openalex.org/W2123487365","https://openalex.org/W2125455772","https://openalex.org/W2130177173","https://openalex.org/W2136463719","https://openalex.org/W2138206872","https://openalex.org/W2139089791","https://openalex.org/W2147163796","https://openalex.org/W2155722796","https://openalex.org/W2161731388","https://openalex.org/W2165688705","https://openalex.org/W2165878107","https://openalex.org/W2181889564","https://openalex.org/W2256007849","https://openalex.org/W2263224228","https://openalex.org/W2497545672","https://openalex.org/W2747289631","https://openalex.org/W2805335306","https://openalex.org/W3044782395","https://openalex.org/W3092959131","https://openalex.org/W3101320476","https://openalex.org/W3102759722","https://openalex.org/W3106490840","https://openalex.org/W3106505466","https://openalex.org/W3119911701","https://openalex.org/W3161088186","https://openalex.org/W4240906956","https://openalex.org/W6692373665","https://openalex.org/W6795573263"],"related_works":["https://openalex.org/W1992442261","https://openalex.org/W2012909180","https://openalex.org/W2952558772","https://openalex.org/W2116048240","https://openalex.org/W207632165","https://openalex.org/W2139089791","https://openalex.org/W2136463719","https://openalex.org/W1779818578","https://openalex.org/W2060496807","https://openalex.org/W1665425602","https://openalex.org/W2137492554","https://openalex.org/W2073178967","https://openalex.org/W2099529282","https://openalex.org/W2613282132","https://openalex.org/W3098698697","https://openalex.org/W15127475","https://openalex.org/W1484728965","https://openalex.org/W2001096760","https://openalex.org/W2391044502","https://openalex.org/W2080049289"],"abstract_inverted_index":{"This":[0],"work":[1],"presents":[2],"the":[3,26,31,63,68,86,105,109,113],"construction":[4],"of":[5,25,30,42,79,85,112],"a":[6,22,40,51,60,83,131],"novel":[7],"spherical":[8,14],"wavelet":[9,120],"basis":[10,44,80],"designed":[11],"for":[12],"incomplete":[13,64],"datasets,":[15],"i.e.":[16],"datasets":[17],"which":[18,46],"are":[19,39,47,122,128],"missing":[20],"in":[21,130],"particular":[23],"region":[24,103,126],"sphere.":[27],"The":[28,115],"eigenfunctions":[29],"Slepian":[32,37,54,87,116],"spatial-spectral":[33],"concentration":[34],"problem":[35],"(the":[36],"functions)":[38],"set":[41,78],"orthogonal":[43],"functions":[45,55],"more":[48],"concentrated":[49],"within":[50],"defined":[52,107],"region.":[53],"allow":[56],"one":[57,90],"to":[58,76],"compute":[59],"convolution":[61,72],"on":[62,100,104],"sphere":[65,106],"by":[66,108],"leveraging":[67],"recently":[69],"proposed":[70],"sifting":[71],"and":[73,118,127],"extending":[74],"it":[75],"any":[77],"functions.":[81],"Through":[82],"tiling":[84],"harmonic":[88],"line,":[89],"may":[91],"construct":[92],"scale-discretised":[93],"wavelets.":[94],"An":[95],"illustration":[96],"is":[97],"presented":[98],"based":[99],"an":[101],"example":[102],"topographic":[110],"map":[111],"Earth.":[114],"wavelets":[117],"corresponding":[119],"coefficients":[121],"constructed":[123],"from":[124],"this":[125],"used":[129],"straightforward":[132],"denoising":[133],"example.":[134]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}