{"id":"https://openalex.org/W2270632967","doi":"https://doi.org/10.1109/csndsp.2012.6292798","title":"Algorithms of cubic B-spline interpolation extended for m&amp;#x003E;2","display_name":"Algorithms of cubic B-spline interpolation extended for m&amp;#x003E;2","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2270632967","doi":"https://doi.org/10.1109/csndsp.2012.6292798","mag":"2270632967"},"language":"en","primary_location":{"id":"doi:10.1109/csndsp.2012.6292798","is_oa":false,"landing_page_url":"https://doi.org/10.1109/csndsp.2012.6292798","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 8th International Symposium on Communication Systems, Networks &amp; Digital Signal Processing (CSNDSP)","raw_type":"proceedings-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/A5025182399","display_name":"Liliana M\u00e2\u0163iu-Iovan","orcid":"https://orcid.org/0000-0001-5261-4897"},"institutions":[{"id":"https://openalex.org/I3122695212","display_name":"Polytechnic University of Timi\u015foara","ror":"https://ror.org/02v91gy68","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122695212"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Liliana Matiu-Iovan","raw_affiliation_strings":["Faculty of Electronics and Telecomunications, Politehnica University of Timi\u015foara, Timisoara, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Electronics and Telecomunications, Politehnica University of Timi\u015foara, Timisoara, Romania","institution_ids":["https://openalex.org/I3122695212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045801646","display_name":"Flaviu Mihai Frigura-Iliasa","orcid":"https://orcid.org/0000-0003-3340-5402"},"institutions":[{"id":"https://openalex.org/I3122695212","display_name":"Polytechnic University of Timi\u015foara","ror":"https://ror.org/02v91gy68","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122695212"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Flaviu Mihai Frigura-Iliasa","raw_affiliation_strings":["Faculty of Electrical Engineering, Politehnica University of Timi\u015foara, Timisoara, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Politehnica University of Timi\u015foara, Timisoara, Romania","institution_ids":["https://openalex.org/I3122695212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025182399"],"corresponding_institution_ids":["https://openalex.org/I3122695212"],"apc_list":null,"apc_paid":null,"fwci":0.2745,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61640893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9991000294685364,"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":0.9991000294685364,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.7444210648536682},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.719858705997467},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.6734758615493774},{"id":"https://openalex.org/keywords/bicubic-interpolation","display_name":"Bicubic interpolation","score":0.5735958218574524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5700751543045044},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.543445885181427},{"id":"https://openalex.org/keywords/monotone-cubic-interpolation","display_name":"Monotone cubic interpolation","score":0.5268389582633972},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.5120533108711243},{"id":"https://openalex.org/keywords/stairstep-interpolation","display_name":"Stairstep interpolation","score":0.5107724666595459},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.460314005613327},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4574929177761078},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.4499755799770355},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.44566476345062256},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.423686683177948},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4103770852088928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3450341820716858},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.3193777799606323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3082233965396881},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17351698875427246},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.12879368662834167},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1278548240661621},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.10492599010467529},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09949961304664612},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0952785313129425},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.06966128945350647}],"concepts":[{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.7444210648536682},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.719858705997467},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.6734758615493774},{"id":"https://openalex.org/C49608258","wikidata":"https://www.wikidata.org/wiki/Q611705","display_name":"Bicubic interpolation","level":4,"score":0.5735958218574524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5700751543045044},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.543445885181427},{"id":"https://openalex.org/C64485984","wikidata":"https://www.wikidata.org/wiki/Q4044484","display_name":"Monotone cubic interpolation","level":5,"score":0.5268389582633972},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.5120533108711243},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.5107724666595459},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.460314005613327},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4574929177761078},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.4499755799770355},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.44566476345062256},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.423686683177948},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4103770852088928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3450341820716858},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.3193777799606323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3082233965396881},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17351698875427246},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.12879368662834167},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1278548240661621},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.10492599010467529},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09949961304664612},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0952785313129425},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.06966128945350647},{"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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/csndsp.2012.6292798","is_oa":false,"landing_page_url":"https://doi.org/10.1109/csndsp.2012.6292798","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 8th International Symposium on Communication Systems, Networks &amp; Digital Signal Processing (CSNDSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2003410902","https://openalex.org/W2044011870","https://openalex.org/W2050921210","https://openalex.org/W2065628492","https://openalex.org/W2073431334","https://openalex.org/W2139735731","https://openalex.org/W2984425774","https://openalex.org/W2988564852","https://openalex.org/W6661579649"],"related_works":["https://openalex.org/W2553003891","https://openalex.org/W2355602298","https://openalex.org/W2403598878","https://openalex.org/W3140377186","https://openalex.org/W2075020252","https://openalex.org/W4303468906","https://openalex.org/W2382426030","https://openalex.org/W2018318601","https://openalex.org/W2583818965","https://openalex.org/W2036928062"],"abstract_inverted_index":{"Signal":[0],"interpolation":[1,60,78],"is":[2,15,28,49],"an":[3],"old":[4],"problem":[5],"that":[6],"could":[7],"be":[8],"resolved":[9],"by":[10,61,79],"filtering":[11],"techniques.":[12],"A":[13],"filter":[14,27],"used":[16],"to":[17,30],"determine":[18],"the":[19,22,32,74,98],"coefficients":[20,44],"from":[21],"input":[23],"samples":[24],"and":[25,59,94,97],"another":[26],"applied":[29],"obtain":[31],"interpolated":[33],"values.":[34],"In":[35],"this":[36],"paper":[37],"we":[38],"present":[39],"some":[40,88],"improved":[41],"techniques":[42],"for":[43,56,76,87],"determination.":[45],"The":[46,83],"basis":[47],"function":[48],"a":[50,62,68,80],"cubic":[51],"B-spline":[52],"function.":[53],"Some":[54],"results":[55,75,99],"signal":[57,77],"reconstruction":[58],"factor":[63,81],"m=2":[64],"were":[65],"presented":[66,73],"in":[67],"previous":[69],"work.":[70],"Here":[71],"are":[72,85,100],"m>2.":[82],"algorithms":[84],"implemented":[86],"well":[89],"known":[90],"signals":[91],"(like":[92],"sine":[93],"cosine":[95],"functions)":[96],"discussed":[101],"further.":[102]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
