{"id":"https://openalex.org/W1975186435","doi":"https://doi.org/10.1016/j.patrec.2009.12.007","title":"A symmetry and bi-recursive algorithm of accurately computing Krawtchouk moments","display_name":"A symmetry and bi-recursive algorithm of accurately computing Krawtchouk moments","publication_year":2009,"publication_date":"2009-12-17","ids":{"openalex":"https://openalex.org/W1975186435","doi":"https://doi.org/10.1016/j.patrec.2009.12.007","mag":"1975186435"},"language":"en","primary_location":{"id":"doi:10.1016/j.patrec.2009.12.007","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.patrec.2009.12.007","pdf_url":null,"source":{"id":"https://openalex.org/S151820558","display_name":"Pattern Recognition Letters","issn_l":"0167-8655","issn":["0167-8655","1872-7344"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition Letters","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/A5112030687","display_name":"Guojun Zhang","orcid":"https://orcid.org/0009-0002-6910-8194"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guojun Zhang","raw_affiliation_strings":["School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China","School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China#TAB#","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047145263","display_name":"Zhu Luo","orcid":"https://orcid.org/0000-0001-8848-9354"},"institutions":[{"id":"https://openalex.org/I74525822","display_name":"Hubei University of Technology","ror":"https://ror.org/02d3fj342","country_code":"CN","type":"education","lineage":["https://openalex.org/I74525822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhu Luo","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China","institution_ids":["https://openalex.org/I74525822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023898602","display_name":"Bo Fu","orcid":"https://orcid.org/0000-0002-9491-756X"},"institutions":[{"id":"https://openalex.org/I74525822","display_name":"Hubei University of Technology","ror":"https://ror.org/02d3fj342","country_code":"CN","type":"education","lineage":["https://openalex.org/I74525822"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Fu","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China","institution_ids":["https://openalex.org/I74525822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100783952","display_name":"Bo Li","orcid":"https://orcid.org/0000-0002-2720-4906"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Li","raw_affiliation_strings":["School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China","School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China#TAB#","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jiaping Liao","orcid":null},"institutions":[{"id":"https://openalex.org/I74525822","display_name":"Hubei University of Technology","ror":"https://ror.org/02d3fj342","country_code":"CN","type":"education","lineage":["https://openalex.org/I74525822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaping Liao","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China","institution_ids":["https://openalex.org/I74525822"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xiuxiang Fan","orcid":null},"institutions":[{"id":"https://openalex.org/I74525822","display_name":"Hubei University of Technology","ror":"https://ror.org/02d3fj342","country_code":"CN","type":"education","lineage":["https://openalex.org/I74525822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuxiang Fan","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China","institution_ids":["https://openalex.org/I74525822"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102079306","display_name":"Zheng Xi","orcid":null},"institutions":[{"id":"https://openalex.org/I74525822","display_name":"Hubei University of Technology","ror":"https://ror.org/02d3fj342","country_code":"CN","type":"education","lineage":["https://openalex.org/I74525822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Xi","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Hubei University of Technology, 430068 Wuhan, China","institution_ids":["https://openalex.org/I74525822"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5023898602"],"corresponding_institution_ids":["https://openalex.org/I74525822"],"apc_list":{"value":2500,"currency":"USD","value_usd":2500},"apc_paid":null,"fwci":0.6561,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.69496128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"31","issue":"7","first_page":"548","last_page":"554"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9984999895095825,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9984999895095825,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9922999739646912,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.991599977016449,"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/recursion","display_name":"Recursion (computer science)","score":0.760665774345398},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6585080027580261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6294265389442444},{"id":"https://openalex.org/keywords/kravchuk-polynomials","display_name":"Kravchuk polynomials","score":0.606165885925293},{"id":"https://openalex.org/keywords/apodization","display_name":"Apodization","score":0.5453774333000183},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5244365334510803},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4957943856716156},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48827481269836426},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.48506656289100647},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4600704610347748},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.43783220648765564},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.42670416831970215},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.423276424407959},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.4042745530605316},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3764480650424957},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3309769928455353},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3281205892562866},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.31275463104248047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30558133125305176},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.292609304189682},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2259814441204071},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11914244294166565},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09752923250198364},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08567354083061218},{"id":"https://openalex.org/keywords/wilson-polynomials","display_name":"Wilson polynomials","score":0.08141642808914185}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.760665774345398},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6585080027580261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6294265389442444},{"id":"https://openalex.org/C118797610","wikidata":"https://www.wikidata.org/wiki/Q4298931","display_name":"Kravchuk polynomials","level":5,"score":0.606165885925293},{"id":"https://openalex.org/C51427946","wikidata":"https://www.wikidata.org/wiki/Q618827","display_name":"Apodization","level":2,"score":0.5453774333000183},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5244365334510803},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4957943856716156},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48827481269836426},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.48506656289100647},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4600704610347748},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.43783220648765564},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.42670416831970215},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.423276424407959},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.4042745530605316},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3764480650424957},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3309769928455353},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3281205892562866},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.31275463104248047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30558133125305176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.292609304189682},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2259814441204071},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11914244294166565},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09752923250198364},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08567354083061218},{"id":"https://openalex.org/C43176163","wikidata":"https://www.wikidata.org/wiki/Q8023263","display_name":"Wilson polynomials","level":4,"score":0.08141642808914185},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.patrec.2009.12.007","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.patrec.2009.12.007","pdf_url":null,"source":{"id":"https://openalex.org/S151820558","display_name":"Pattern Recognition Letters","issn_l":"0167-8655","issn":["0167-8655","1872-7344"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1528387448","https://openalex.org/W1979473816","https://openalex.org/W1992755447","https://openalex.org/W2010340235","https://openalex.org/W2011974067","https://openalex.org/W2015975137","https://openalex.org/W2040708001","https://openalex.org/W2043190319","https://openalex.org/W2045980177","https://openalex.org/W2086936614","https://openalex.org/W2098280924","https://openalex.org/W2099205439","https://openalex.org/W2100566883","https://openalex.org/W2102238397","https://openalex.org/W2124041826","https://openalex.org/W2132050597","https://openalex.org/W2146880335","https://openalex.org/W2159498975","https://openalex.org/W2160091544","https://openalex.org/W2163644233","https://openalex.org/W6672334443","https://openalex.org/W6683344514"],"related_works":["https://openalex.org/W2010340235","https://openalex.org/W2046062960","https://openalex.org/W2265622821","https://openalex.org/W2963004660","https://openalex.org/W4300493934","https://openalex.org/W2381952422","https://openalex.org/W2951709720","https://openalex.org/W2165237086","https://openalex.org/W101473165","https://openalex.org/W2428913831"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
