{"id":"https://openalex.org/W2042518099","doi":"https://doi.org/10.2478/amcs-2014-0032","title":"Bivariate Hahn moments for image reconstruction","display_name":"Bivariate Hahn moments for image reconstruction","publication_year":2014,"publication_date":"2014-06-26","ids":{"openalex":"https://openalex.org/W2042518099","doi":"https://doi.org/10.2478/amcs-2014-0032","mag":"2042518099"},"language":"en","primary_location":{"id":"doi:10.2478/amcs-2014-0032","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2014-0032","pdf_url":"https://sciendo.com/pdf/10.2478/amcs-2014-0032","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/amcs-2014-0032","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101739968","display_name":"Haiyong Wu","orcid":"https://orcid.org/0000-0001-7034-8262"},"institutions":[{"id":"https://openalex.org/I4210128418","display_name":"Nanjing Xiaozhuang University","ror":"https://ror.org/03fnv7n42","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128418"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyong Wu","raw_affiliation_strings":["Lab of Image Science and Technology School of Computer Science and Engineering, Southeast University, 210096 Nanjing, China","School of Mathematics and Information Technology Xiaozhuang University, 211171 Nanjing, China","Lab of Image Science and Technology, School of Computer Science and Engineering, Southeast University, 210096 Nanjing, China; School of Mathematics and Information Technology, Xiaozhuang University, 211171 Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lab of Image Science and Technology School of Computer Science and Engineering, Southeast University, 210096 Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Mathematics and Information Technology Xiaozhuang University, 211171 Nanjing, China","institution_ids":["https://openalex.org/I4210128418"]},{"raw_affiliation_string":"Lab of Image Science and Technology, School of Computer Science and Engineering, Southeast University, 210096 Nanjing, China; School of Mathematics and Information Technology, Xiaozhuang University, 211171 Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101193348","display_name":"Senlin Yan","orcid":"https://orcid.org/0000-0002-7264-4687"},"institutions":[{"id":"https://openalex.org/I4210128418","display_name":"Nanjing Xiaozhuang University","ror":"https://ror.org/03fnv7n42","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128418"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Senlin Yan","raw_affiliation_strings":["School of Mathematics and Information Technology Xiaozhuang University, 211171 Nanjing, China","School of Mathematics and Information Technology, Xiaozhuang University, 211171 Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Technology Xiaozhuang University, 211171 Nanjing, China","institution_ids":["https://openalex.org/I4210128418"]},{"raw_affiliation_string":"School of Mathematics and Information Technology, Xiaozhuang University, 211171 Nanjing, China","institution_ids":["https://openalex.org/I4210128418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.7278,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.75412512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"2","first_page":"417","last_page":"428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9990000128746033,"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":0.9990000128746033,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9961000084877014,"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/bivariate-analysis","display_name":"Bivariate analysis","score":0.7773517370223999},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7132332921028137},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.6067558526992798},{"id":"https://openalex.org/keywords/cumulant","display_name":"Cumulant","score":0.6032370328903198},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6022290587425232},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5912275314331055},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5697334408760071},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5424602031707764},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5371732115745544},{"id":"https://openalex.org/keywords/velocity-moments","display_name":"Velocity Moments","score":0.5365718603134155},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5094719529151917},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4926024079322815},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4688138961791992},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45014670491218567},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"Method of moments (probability theory)","score":0.4418564438819885},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.4352216124534607},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.4249882102012634},{"id":"https://openalex.org/keywords/zernike-polynomials","display_name":"Zernike polynomials","score":0.32172197103500366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2427169382572174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22401270270347595},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2238791286945343},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15613919496536255},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11805769801139832},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08452844619750977}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.7773517370223999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7132332921028137},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.6067558526992798},{"id":"https://openalex.org/C172686274","wikidata":"https://www.wikidata.org/wiki/Q746007","display_name":"Cumulant","level":2,"score":0.6032370328903198},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6022290587425232},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5912275314331055},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5697334408760071},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5424602031707764},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5371732115745544},{"id":"https://openalex.org/C149539972","wikidata":"https://www.wikidata.org/wiki/Q7919290","display_name":"Velocity Moments","level":4,"score":0.5365718603134155},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5094719529151917},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4926024079322815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4688138961791992},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45014670491218567},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.4418564438819885},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.4352216124534607},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.4249882102012634},{"id":"https://openalex.org/C92423082","wikidata":"https://www.wikidata.org/wiki/Q132146","display_name":"Zernike polynomials","level":3,"score":0.32172197103500366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2427169382572174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22401270270347595},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2238791286945343},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15613919496536255},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11805769801139832},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08452844619750977},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2478/amcs-2014-0032","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2014-0032","pdf_url":"https://sciendo.com/pdf/10.2478/amcs-2014-0032","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d91a22f2184b4acc951478077c72f720","is_oa":true,"landing_page_url":"https://doaj.org/article/d91a22f2184b4acc951478077c72f720","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 24, Iss 2, Pp 417-428 (2014)","raw_type":"article"},{"id":"pmh:oai:zbc.uz.zgora.pl:78956","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=78956","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=57","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/amcs-2014-0032","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2014-0032","pdf_url":"https://sciendo.com/pdf/10.2478/amcs-2014-0032","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2042518099.pdf","grobid_xml":"https://content.openalex.org/works/W2042518099.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W191001584","https://openalex.org/W1523551651","https://openalex.org/W1758816828","https://openalex.org/W1973207880","https://openalex.org/W2005895703","https://openalex.org/W2015034296","https://openalex.org/W2019091792","https://openalex.org/W2031428339","https://openalex.org/W2034917411","https://openalex.org/W2038619296","https://openalex.org/W2046013022","https://openalex.org/W2051295637","https://openalex.org/W2054696696","https://openalex.org/W2059176986","https://openalex.org/W2064861832","https://openalex.org/W2086936614","https://openalex.org/W2102238397","https://openalex.org/W2111247758","https://openalex.org/W2121834080","https://openalex.org/W2124041826","https://openalex.org/W2130010995","https://openalex.org/W2133665775","https://openalex.org/W2144581836","https://openalex.org/W2145751129","https://openalex.org/W2159498975","https://openalex.org/W2164162890","https://openalex.org/W2168462685","https://openalex.org/W2168654130","https://openalex.org/W2963680743","https://openalex.org/W3209818445","https://openalex.org/W4230199773"],"related_works":["https://openalex.org/W2372021815","https://openalex.org/W1596812724","https://openalex.org/W2360964508","https://openalex.org/W2122970665","https://openalex.org/W2086936614","https://openalex.org/W2168501771","https://openalex.org/W4321260167","https://openalex.org/W2765956955","https://openalex.org/W134722258","https://openalex.org/W2169751066"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"presents":[3],"a":[4,61],"new":[5],"set":[6],"of":[7,39,48,53,57,71],"bivariate":[8,16],"discrete":[9,93],"orthogonal":[10,94],"moments":[11,74,95,106,111],"which":[12],"are":[13,24,33,64,96],"based":[14],"on":[15],"Hahn":[17,110],"polynomials":[18,23,49],"with":[19,50,91],"non-separable":[20],"basis.":[21],"The":[22,37,69,99],"scaled":[25],"to":[26],"ensure":[27],"numerical":[28],"stability.":[29],"Their":[30],"computational":[31],"aspects":[32],"discussed":[34],"in":[35,75],"detail.":[36],"principle":[38],"parameter":[40],"selection":[41],"is":[42,78],"established":[43],"by":[44],"analyzing":[45],"several":[46,81],"plots":[47],"different":[51],"kinds":[52],"parameters.":[54],"Appropriate":[55],"parameters":[56],"binary":[58],"images":[59,77],"and":[60,87],"grayscale":[62],"image":[63,82],"obtained":[65],"through":[66,80],"experimental":[67,100],"results.":[68],"performance":[70],"the":[72,104],"proposed":[73,105],"describing":[76],"investigated":[79],"reconstruction":[83],"experiments,":[84],"including":[85],"noisy":[86],"noise-free":[88],"conditions.":[89],"Comparisons":[90],"existing":[92],"also":[97],"presented.":[98],"results":[101],"show":[102],"that":[103],"outperform":[107],"slightly":[108],"separable":[109],"for":[112],"higher":[113],"orders.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}
