{"id":"https://openalex.org/W2946009360","doi":"https://doi.org/10.1155/2019/8450905","title":"Alternating Projections Filtering Algorithm to Track Moving Objects","display_name":"Alternating Projections Filtering Algorithm to Track Moving Objects","publication_year":2019,"publication_date":"2019-05-13","ids":{"openalex":"https://openalex.org/W2946009360","doi":"https://doi.org/10.1155/2019/8450905","mag":"2946009360"},"language":"en","primary_location":{"id":"doi:10.1155/2019/8450905","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/8450905","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/8450905.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2019/8450905.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035557907","display_name":"Youssef Qranfal","orcid":"https://orcid.org/0000-0002-5185-1978"},"institutions":[{"id":"https://openalex.org/I198034347","display_name":"Wentworth Institute of Technology","ror":"https://ror.org/03tqeft14","country_code":"US","type":"education","lineage":["https://openalex.org/I198034347"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Youssef Qranfal","raw_affiliation_strings":["Department of Applied Mathematics, Wentworth Institute of Technology, Boston, MA 02115, USA"],"raw_orcid":"https://orcid.org/0000-0002-5185-1978","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Wentworth Institute of Technology, Boston, MA 02115, USA","institution_ids":["https://openalex.org/I198034347"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035557907"],"corresponding_institution_ids":["https://openalex.org/I198034347"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0440533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2019","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9769999980926514,"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/algorithm","display_name":"Algorithm","score":0.6820668578147888},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6452648639678955},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6155654788017273},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5971947908401489},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.4495410621166229},{"id":"https://openalex.org/keywords/data-assimilation","display_name":"Data assimilation","score":0.445494681596756},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4366246461868286},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.43109577894210815},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3416138291358948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2562373876571655},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20604515075683594}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6820668578147888},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6452648639678955},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6155654788017273},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5971947908401489},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.4495410621166229},{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.445494681596756},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4366246461868286},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.43109577894210815},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3416138291358948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2562373876571655},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20604515075683594},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2019/8450905","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/8450905","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/8450905.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1563933635","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1563933635","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:8450905","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2019/8450905.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:471ad05020f640889b94c3c27b173f7c","is_oa":true,"landing_page_url":"https://doaj.org/article/471ad05020f640889b94c3c27b173f7c","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":"Journal of Applied Mathematics, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/8450905","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/8450905","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/8450905.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2946009360.pdf","grobid_xml":"https://content.openalex.org/works/W2946009360.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1481784525","https://openalex.org/W1980586072","https://openalex.org/W1995573301","https://openalex.org/W2005836623","https://openalex.org/W2025306364","https://openalex.org/W2030793712","https://openalex.org/W2059848934","https://openalex.org/W2084219560","https://openalex.org/W2098115494","https://openalex.org/W2105934661","https://openalex.org/W2110085068","https://openalex.org/W2110492944","https://openalex.org/W2148481429","https://openalex.org/W2790374560","https://openalex.org/W4231204432","https://openalex.org/W4234848677"],"related_works":["https://openalex.org/W2654527859","https://openalex.org/W1666666856","https://openalex.org/W2354857671","https://openalex.org/W2064102138","https://openalex.org/W2525014937","https://openalex.org/W2089615313","https://openalex.org/W2331917905","https://openalex.org/W3155039083","https://openalex.org/W1543136835","https://openalex.org/W1970914699"],"abstract_inverted_index":{"An":[0],"interest":[1],"is":[2,15,28,70,168],"often":[3],"present":[4],"in":[5,18,171],"knowing":[6],"evolving":[7],"variables":[8,41,52],"that":[9],"are":[10,32,58,65,99,116],"not":[11,117],"directly":[12],"observable;":[13],"this":[14,95],"the":[16,51,62,86,165],"case":[17],"aerospace,":[19],"engineering":[20],"control,":[21],"medical":[22],"imaging,":[23],"or":[24],"data":[25,64],"assimilation.":[26],"What":[27],"at":[29],"hand,":[30],"though,":[31],"time-varying":[33,87],"measured":[34],"data,":[35],"a":[36,45,127],"model":[37,46],"connecting":[38],"them":[39],"to":[40,49,84,94,120,155,164],"of":[42,47,89,173],"interest,":[43],"and":[44,61,109,143],"how":[48],"evolve":[50],"over":[53],"time.":[54,175],"However,":[55],"both":[56],"models":[57],"only":[59],"approximation":[60],"observed":[63],"tainted":[66],"with":[67,139,146],"noise.":[68],"This":[69,124],"an":[71],"ill-posed":[72],"inverse":[73,96],"problem.":[74],"Methods,":[75],"such":[76],"as":[77],"Kalman":[78],"filter":[79],"(KF),":[80],"have":[81],"been":[82],"devised":[83],"extract":[85],"quantities":[88],"interest.":[90],"These":[91],"methods":[92,115],"applied":[93],"problem,":[97],"nonetheless,":[98],"slow,":[100],"computation":[101],"wise,":[102],"since":[103],"they":[104],"require":[105],"large":[106],"matrices":[107],"multiplications":[108],"even":[110],"matrix":[111],"inversion.":[112],"Furthermore,":[113],"these":[114],"usually":[118],"suitable":[119],"impose":[121],"some":[122],"constraints.":[123],"article":[125],"introduces":[126],"new":[128,151],"iterative":[129],"filtering":[130],"algorithm":[131,153],"based":[132],"on":[133],"alternating":[134],"projections.":[135],"Experiments":[136],"were":[137,144],"run":[138],"simulated":[140],"moving":[141],"projectiles":[142],"compared":[145],"results":[147],"using":[148],"KF.":[149],"The":[150],"optimization":[152],"proves":[154],"be":[156],"slightly":[157],"more":[158,163],"accurate":[159],"than":[160],"KF,":[161],"but,":[162],"point,":[166],"it":[167],"much":[169],"faster":[170],"terms":[172],"CPU":[174]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
