{"id":"https://openalex.org/W4401909758","doi":"https://doi.org/10.3390/a17090381","title":"Multithreading-Based Algorithm for High-Performance Tchebichef Polynomials with Higher Orders","display_name":"Multithreading-Based Algorithm for High-Performance Tchebichef Polynomials with Higher Orders","publication_year":2024,"publication_date":"2024-08-27","ids":{"openalex":"https://openalex.org/W4401909758","doi":"https://doi.org/10.3390/a17090381"},"language":"en","primary_location":{"id":"doi:10.3390/a17090381","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17090381","pdf_url":"https://www.mdpi.com/1999-4893/17/9/381/pdf?version=1724823124","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/9/381/pdf?version=1724823124","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012827449","display_name":"Ahlam Hanoon Al-sudani","orcid":"https://orcid.org/0000-0001-6072-9926"},"institutions":[{"id":"https://openalex.org/I135120706","display_name":"University of Baghdad","ror":"https://ror.org/007f1da21","country_code":"IQ","type":"education","lineage":["https://openalex.org/I135120706"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Ahlam Hanoon Al-sudani","raw_affiliation_strings":["Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq","institution_ids":["https://openalex.org/I135120706"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020675008","display_name":"Basheera M. Mahmmod","orcid":"https://orcid.org/0000-0002-4121-0843"},"institutions":[{"id":"https://openalex.org/I135120706","display_name":"University of Baghdad","ror":"https://ror.org/007f1da21","country_code":"IQ","type":"education","lineage":["https://openalex.org/I135120706"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Basheera M. Mahmmod","raw_affiliation_strings":["Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq","institution_ids":["https://openalex.org/I135120706"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087308007","display_name":"Firas A. Sabir","orcid":"https://orcid.org/0000-0003-2611-0980"},"institutions":[{"id":"https://openalex.org/I135120706","display_name":"University of Baghdad","ror":"https://ror.org/007f1da21","country_code":"IQ","type":"education","lineage":["https://openalex.org/I135120706"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Firas A. Sabir","raw_affiliation_strings":["Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq","institution_ids":["https://openalex.org/I135120706"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017117569","display_name":"Sadiq H. Abdulhussain","orcid":"https://orcid.org/0000-0002-6439-0082"},"institutions":[{"id":"https://openalex.org/I135120706","display_name":"University of Baghdad","ror":"https://ror.org/007f1da21","country_code":"IQ","type":"education","lineage":["https://openalex.org/I135120706"]}],"countries":["IQ"],"is_corresponding":true,"raw_author_name":"Sadiq H. Abdulhussain","raw_affiliation_strings":["Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq","institution_ids":["https://openalex.org/I135120706"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067180435","display_name":"Muntadher Alsabah","orcid":"https://orcid.org/0000-0001-7937-3093"},"institutions":[{"id":"https://openalex.org/I4401200352","display_name":"Al-Farahidi University","ror":"https://ror.org/0409yxb12","country_code":null,"type":"education","lineage":["https://openalex.org/I4401200352"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Muntadher Alsabah","raw_affiliation_strings":["Medical Technical College, Al-Farahidi University, Baghdad 10071, Iraq"],"affiliations":[{"raw_affiliation_string":"Medical Technical College, Al-Farahidi University, Baghdad 10071, Iraq","institution_ids":["https://openalex.org/I4401200352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090718767","display_name":"Wameedh Nazar Flayyih","orcid":"https://orcid.org/0000-0001-5610-0586"},"institutions":[{"id":"https://openalex.org/I135120706","display_name":"University of Baghdad","ror":"https://ror.org/007f1da21","country_code":"IQ","type":"education","lineage":["https://openalex.org/I135120706"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Wameedh Nazar Flayyih","raw_affiliation_strings":["Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, University of Baghdad, Al-Jadriya, Baghdad 10071, Iraq","institution_ids":["https://openalex.org/I135120706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5017117569"],"corresponding_institution_ids":["https://openalex.org/I135120706"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.148,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74265614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"17","issue":"9","first_page":"381","last_page":"381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9977999925613403,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9977999925613403,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9969000220298767,"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/multithreading","display_name":"Multithreading","score":0.7606825828552246},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5628477334976196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.549293577671051},{"id":"https://openalex.org/keywords/yarn","display_name":"Yarn","score":0.440100759267807},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.341730535030365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32070931792259216},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1962527334690094}],"concepts":[{"id":"https://openalex.org/C201410400","wikidata":"https://www.wikidata.org/wiki/Q1064412","display_name":"Multithreading","level":3,"score":0.7606825828552246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5628477334976196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.549293577671051},{"id":"https://openalex.org/C2778787235","wikidata":"https://www.wikidata.org/wiki/Q49007","display_name":"Yarn","level":2,"score":0.440100759267807},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.341730535030365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32070931792259216},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1962527334690094},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C138101251","wikidata":"https://www.wikidata.org/wiki/Q213092","display_name":"Thread (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a17090381","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17090381","pdf_url":"https://www.mdpi.com/1999-4893/17/9/381/pdf?version=1724823124","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7efcf23186904ec7a44ed44319cee28f","is_oa":true,"landing_page_url":"https://doaj.org/article/7efcf23186904ec7a44ed44319cee28f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 9, p 381 (2024)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/17/9/381/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a17090381","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a17090381","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17090381","pdf_url":"https://www.mdpi.com/1999-4893/17/9/381/pdf?version=1724823124","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401909758.pdf","grobid_xml":"https://content.openalex.org/works/W4401909758.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1992978094","https://openalex.org/W2008477394","https://openalex.org/W2041879348","https://openalex.org/W2046052314","https://openalex.org/W2048308346","https://openalex.org/W2058914520","https://openalex.org/W2086936614","https://openalex.org/W2098280924","https://openalex.org/W2099708455","https://openalex.org/W2124041826","https://openalex.org/W2135331233","https://openalex.org/W2169207476","https://openalex.org/W2329287728","https://openalex.org/W2588125578","https://openalex.org/W2887450173","https://openalex.org/W2898006622","https://openalex.org/W3043324058","https://openalex.org/W3043833340","https://openalex.org/W3133024991","https://openalex.org/W3134717394","https://openalex.org/W3195570612","https://openalex.org/W3198727840","https://openalex.org/W4213455898","https://openalex.org/W4225718256","https://openalex.org/W4226256492","https://openalex.org/W4234495333","https://openalex.org/W4250955649","https://openalex.org/W4281830255","https://openalex.org/W4288902282","https://openalex.org/W4295878915","https://openalex.org/W4308198415","https://openalex.org/W4313176140","https://openalex.org/W4313413181","https://openalex.org/W4316468883","https://openalex.org/W4366000240","https://openalex.org/W4378783148","https://openalex.org/W4384271160","https://openalex.org/W4387350589","https://openalex.org/W4387950544","https://openalex.org/W4388620548","https://openalex.org/W4388729315"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2078851640","https://openalex.org/W2381070915","https://openalex.org/W1993191611","https://openalex.org/W4248655967","https://openalex.org/W2138520521","https://openalex.org/W2338363223","https://openalex.org/W2544870670","https://openalex.org/W3002912422","https://openalex.org/W4382866741"],"abstract_inverted_index":{"Tchebichef":[0],"polynomials":[1],"(TPs)":[2],"play":[3],"a":[4,92,127,169,176,203,215],"crucial":[5],"role":[6],"in":[7,172],"various":[8,164],"fields":[9],"of":[10,32,57,63,100,126,131,157,182,209],"mathematics":[11],"and":[12,19,22,35,49,65,75,84,123,206],"applied":[13],"sciences,":[14],"including":[15],"numerical":[16],"analysis,":[17],"image":[18],"signal":[20],"processing,":[21],"computer":[23],"vision.":[24],"This":[25,116],"is":[26,47,50,77,117,161,188],"due":[27],"to":[28,52,96,111,201],"the":[29,33,40,61,72,98,107,113,121,139,152,158,179,185,194,198,210],"unique":[30],"properties":[31],"TPs":[34,73],"their":[36],"remarkable":[37],"performance.":[38],"Nowadays,":[39],"demand":[41],"for":[42,82,134,178,184,218],"high-quality":[43],"images":[44],"(2D":[45],"signals)":[46],"increasing":[48],"expected":[51],"continue":[53],"growing.":[54],"The":[55,68,103,129,155,190],"processing":[56,109],"these":[58],"signals":[59],"requires":[60],"generation":[62],"accurate":[64,207],"fast":[66],"polynomials.":[67,86],"existing":[69],"algorithms":[70,133],"generate":[71],"sequentially,":[74],"this":[76,88],"considered":[78],"as":[79],"computationally":[80],"costly":[81],"high-order":[83],"larger-sized":[85],"To":[87],"end,":[89],"we":[90],"present":[91],"new":[93],"efficient":[94],"solution":[95,217],"overcome":[97],"limitation":[99],"sequential":[101],"algorithms.":[102],"presented":[104],"algorithm":[105,160,187,196],"uses":[106],"parallel":[108],"paradigm":[110],"leverage":[112],"computation":[114,173,199,208],"cost.":[115],"performed":[118],"by":[119],"utilizing":[120],"multicore":[122],"multithreading":[124],"features":[125],"CPU.":[128],"implementation":[130],"multithreaded":[132,159],"computing":[135],"TP":[136,165,211],"coefficients":[137],"segments":[138],"computations":[140],"into":[141],"sub-tasks.":[142],"These":[143],"sub-tasks":[144],"are":[145],"executed":[146],"concurrently":[147],"on":[148,163],"several":[149],"threads":[150,183],"across":[151],"available":[153],"cores.":[154],"performance":[156,200],"evaluated":[162],"sizes,":[166],"which":[167],"demonstrates":[168],"significant":[170],"improvement":[171],"time.":[174],"Furthermore,":[175],"selection":[177],"appropriate":[180],"number":[181],"proposed":[186,195],"introduced.":[189],"results":[191],"reveal":[192],"that":[193],"enhances":[197],"provide":[202],"quick,":[204],"steady,":[205],"coefficients,":[212],"making":[213],"it":[214],"practical":[216],"different":[219],"applications.":[220]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
