{"id":"https://openalex.org/W2560041657","doi":"https://doi.org/10.1007/s10444-016-9504-x","title":"Local cubic splines on non-uniform grids and real-time computation of wavelet transform","display_name":"Local cubic splines on non-uniform grids and real-time computation of wavelet transform","publication_year":2016,"publication_date":"2016-12-06","ids":{"openalex":"https://openalex.org/W2560041657","doi":"https://doi.org/10.1007/s10444-016-9504-x","mag":"2560041657"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-016-9504-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-016-9504-x","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","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/A5080836593","display_name":"Amir Averbuch","orcid":"https://orcid.org/0000-0001-8177-235X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amir Averbuch","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel","School of Computer Science, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006710481","display_name":"Pekka Neittaanm\u00e4ki","orcid":"https://orcid.org/0000-0001-6629-8100"},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Pekka Neittaanm\u00e4ki","raw_affiliation_strings":["Department of Mathematical Information Technology P.O. Box 35 (Agora), University of Jyv\u00e4skyl\u00e4, Jyv\u00e4skyl\u00e4, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology P.O. Box 35 (Agora), University of Jyv\u00e4skyl\u00e4, Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057999512","display_name":"Etay Shefi","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Etay Shefi","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Tel Aviv, 69978, Israel","School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064235058","display_name":"Valery A. Zheludev","orcid":"https://orcid.org/0000-0002-4606-2114"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI","IL"],"is_corresponding":true,"raw_author_name":"Valery Zheludev","raw_affiliation_strings":["Department of Mathematical Information Technology P.O. Box 35 (Agora), University of Jyv\u00e4skyl\u00e4, Jyv\u00e4skyl\u00e4, Finland","School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel","School of Computer Science, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology P.O. Box 35 (Agora), University of Jyv\u00e4skyl\u00e4, Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]},{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064235058"],"corresponding_institution_ids":["https://openalex.org/I16391192","https://openalex.org/I94722563"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.2092,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6557548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"43","issue":"4","first_page":"733","last_page":"758"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9993000030517578,"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":0.9993000030517578,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.6420270800590515},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.627394437789917},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.6232863664627075},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5893953442573547},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5790963768959045},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5109185576438904},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.4659366011619568},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.45794007182121277},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.439720094203949},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.43827611207962036},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4285094439983368},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.40663808584213257},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3335825204849243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3185766637325287},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.218136727809906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20683178305625916},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.19081735610961914},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.13027331233024597},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08766308426856995}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6420270800590515},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.627394437789917},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.6232863664627075},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5893953442573547},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5790963768959045},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5109185576438904},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.4659366011619568},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.45794007182121277},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.439720094203949},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.43827611207962036},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4285094439983368},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.40663808584213257},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3335825204849243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3185766637325287},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.218136727809906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20683178305625916},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.19081735610961914},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.13027331233024597},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08766308426856995},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-016-9504-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-016-9504-x","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:jyx.jyu.fi:123456789/54992","is_oa":false,"landing_page_url":"http://urn.fi/URN:NBN:fi:jyu-201708033401","pdf_url":null,"source":{"id":"https://openalex.org/S4306400563","display_name":"Jyv\u00e4skyl\u00e4 University Digital Archive (University of Jyv\u00e4skyl\u00e4)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I94722563","host_organization_name":"University of Jyv\u00e4skyl\u00e4","host_organization_lineage":["https://openalex.org/I94722563"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1480101757","https://openalex.org/W1964102307","https://openalex.org/W1971947347","https://openalex.org/W1989385078","https://openalex.org/W1998413407","https://openalex.org/W2012164750","https://openalex.org/W2020919250","https://openalex.org/W2043249680","https://openalex.org/W2058243224","https://openalex.org/W2059201955","https://openalex.org/W2074564561","https://openalex.org/W2075157922","https://openalex.org/W2090344516","https://openalex.org/W2117188745","https://openalex.org/W2162870748","https://openalex.org/W2165038224","https://openalex.org/W2165506789","https://openalex.org/W2335873377","https://openalex.org/W2567032824","https://openalex.org/W2574741566","https://openalex.org/W2741246464","https://openalex.org/W2801179766","https://openalex.org/W3037830703","https://openalex.org/W4242403824","https://openalex.org/W4299637698"],"related_works":["https://openalex.org/W2165066371","https://openalex.org/W2138584164","https://openalex.org/W1559256410","https://openalex.org/W1965605760","https://openalex.org/W2102842245","https://openalex.org/W23499285","https://openalex.org/W2714622632","https://openalex.org/W2555832222","https://openalex.org/W2089774915","https://openalex.org/W2143384690"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}