{"id":"https://openalex.org/W3014683905","doi":"https://doi.org/10.3390/s20071995","title":"Ski Jumping Trajectory Reconstruction Using Wearable Sensors via Extended Rauch-Tung-Striebel Smoother with State Constraints","display_name":"Ski Jumping Trajectory Reconstruction Using Wearable Sensors via Extended Rauch-Tung-Striebel Smoother with State Constraints","publication_year":2020,"publication_date":"2020-04-02","ids":{"openalex":"https://openalex.org/W3014683905","doi":"https://doi.org/10.3390/s20071995","mag":"3014683905","pmid":"https://pubmed.ncbi.nlm.nih.gov/32252478","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/7180840"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20071995","pdf_url":"https://www.mdpi.com/1424-8220/20/7/1995/pdf?version=1586847992","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"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},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/20/7/1995/pdf?version=1586847992","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059111462","display_name":"Xiang Fang","orcid":"https://orcid.org/0000-0002-5821-6678"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Xiang Fang","raw_affiliation_strings":["Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058954078","display_name":"Benedikt Gr\u00fcter","orcid":"https://orcid.org/0000-0001-8750-8867"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Benedikt Gr\u00fcter","raw_affiliation_strings":["Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025742577","display_name":"Patrick Piprek","orcid":"https://orcid.org/0000-0003-3881-984X"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Patrick Piprek","raw_affiliation_strings":["Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068900689","display_name":"Veronica Bessone","orcid":"https://orcid.org/0000-0001-5978-9649"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Veronica Bessone","raw_affiliation_strings":["Department of Biomechanics in Sports, Faculty of Sport and Health Sciences, Technical University of Munich, 80992 Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Biomechanics in Sports, Faculty of Sport and Health Sciences, Technical University of Munich, 80992 Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038399861","display_name":"Johannes Petrat","orcid":"https://orcid.org/0000-0003-3881-327X"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Petrat","raw_affiliation_strings":["Department of Biomechanics in Sports, Faculty of Sport and Health Sciences, Technical University of Munich, 80992 Munich, Germany","Olympic Training Center of Bavaria, 80809 Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Biomechanics in Sports, Faculty of Sport and Health Sciences, Technical University of Munich, 80992 Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Olympic Training Center of Bavaria, 80809 Munich, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077586145","display_name":"Florian Holzapfel","orcid":"https://orcid.org/0000-0003-4733-9186"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florian Holzapfel","raw_affiliation_strings":["Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059111462"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2598,"provenance":"doaj"},"apc_paid":{"value":1661,"currency":"EUR","value_usd":1791,"provenance":"openapc"},"fwci":0.857,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":7,"citation_normalized_percentile":{"value":0.840019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":82,"max":84},"biblio":{"volume":"20","issue":"7","first_page":"1995","last_page":"1995"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T13176","display_name":"Winter Sports Injuries and Performance","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T13176","display_name":"Winter Sports Injuries and Performance","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.98,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12250","display_name":"Experimental and Theoretical Physics Studies","score":0.9775,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.6116953},{"id":"https://openalex.org/keywords/step-detection","display_name":"Step detection","score":0.57777226}],"concepts":[{"id":"https://openalex.org/C2779897013","wikidata":"https://www.wikidata.org/wiki/Q1151752","display_name":"Jumping","level":2,"score":0.7212672},{"id":"https://openalex.org/C79061980","wikidata":"https://www.wikidata.org/wiki/Q941680","display_name":"Inertial measurement unit","level":2,"score":0.69747794},{"id":"https://openalex.org/C60229501","wikidata":"https://www.wikidata.org/wiki/Q18822","display_name":"Global Positioning System","level":2,"score":0.6660237},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.61784816},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.6116953},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.58021545},{"id":"https://openalex.org/C293773","wikidata":"https://www.wikidata.org/wiki/Q7608015","display_name":"Step detection","level":3,"score":0.57777226},{"id":"https://openalex.org/C150594956","wikidata":"https://www.wikidata.org/wiki/Q1334829","display_name":"Wearable computer","level":2,"score":0.53632265},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.53054935},{"id":"https://openalex.org/C158488048","wikidata":"https://www.wikidata.org/wiki/Q483400","display_name":"Gyroscope","level":2,"score":0.49824238},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.47390902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4557022},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.44883227},{"id":"https://openalex.org/C128651787","wikidata":"https://www.wikidata.org/wiki/Q570607","display_name":"Inertial navigation system","level":3,"score":0.44790858},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43492556},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.41561046},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.413476},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37986892},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33909652},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3183933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17700002},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.13978764},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.088944405},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.08131674},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06885344},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C42407357","wikidata":"https://www.wikidata.org/wiki/Q521","display_name":"Physiology","level":1,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20071995","pdf_url":"https://www.mdpi.com/1424-8220/20/7/1995/pdf?version=1586847992","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"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},{"is_oa":false,"landing_page_url":"https://doaj.org/article/4c24e93584ae4cab80f4aadf15c3c35d","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":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://europepmc.org/articles/pmc7180840","pdf_url":"https://europepmc.org/articles/pmc7180840?pdf=render","source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":["European Bioinformatics Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7180840","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/doc/1594058/document.pdf","pdf_url":"https://mediatum.ub.tum.de/doc/1594058/document.pdf","source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":["Technical University of Munich"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20071995","pdf_url":"https://www.mdpi.com/1424-8220/20/7/1995/pdf?version=1586847992","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"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},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft","award_id":"GSC 81"},{"funder":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council","award_id":"201506120031"}],"datasets":[],"versions":[],"referenced_works_count":18,"referenced_works":["https://openalex.org/W1524369050","https://openalex.org/W2013002270","https://openalex.org/W2020237705","https://openalex.org/W2066615546","https://openalex.org/W2092848535","https://openalex.org/W2093833938","https://openalex.org/W2094227853","https://openalex.org/W2105934661","https://openalex.org/W2106831704","https://openalex.org/W2120665422","https://openalex.org/W2502569300","https://openalex.org/W2516631066","https://openalex.org/W2755191915","https://openalex.org/W2795949324","https://openalex.org/W2930329158","https://openalex.org/W2942919880","https://openalex.org/W3102981184","https://openalex.org/W4232464081"],"related_works":["https://openalex.org/W4287084017","https://openalex.org/W3208523813","https://openalex.org/W3195533899","https://openalex.org/W3179745820","https://openalex.org/W2594666386","https://openalex.org/W2545638156","https://openalex.org/W2537790823","https://openalex.org/W2359095091","https://openalex.org/W2000754062","https://openalex.org/W1973973903"],"abstract_inverted_index":{"To":[0],"satisfy":[1],"an":[2,7,37,52],"increasing":[3],"demand":[4],"to":[5,59,70,105],"reconstruct":[6],"athlete\u2019s":[8],"motion":[9],"for":[10,19,114],"performance":[11],"analysis,":[12],"this":[13],"paper":[14],"proposes":[15],"a":[16,41,44,131],"new":[17],"method":[18,50,82,140],"reconstructing":[20],"the":[21,26,71,80,89,102,107,124,127,138,145,150,159,162],"position":[22,108],"and":[23,43,76,99,109,119,141],"velocity":[24,110],"in":[25],"context":[27],"of":[28,88,126,149,161],"ski":[29,90],"jumping":[30,91],"trajectories.":[31],"Therefore,":[32],"state-of-the-art":[33],"wearable":[34],"sensors,":[35],"including":[36],"inertial":[38,73],"measurement":[39,117,121],"unit,":[40],"magnetometer,":[42],"GPS":[45,77],"logger":[46],"are":[47,94],"used.":[48],"The":[49],"employs":[51],"extended":[53],"Rauch-Tung-Striebel":[54],"smoother":[55],"with":[56],"state":[57,61],"constraints":[58,98],"estimate":[60],"information":[62,87],"offline":[63],"from":[64,137],"recorded":[65],"raw":[66],"measurements.":[67],"In":[68],"comparison":[69,132],"classic":[72],"navigation":[74],"system":[75],"integration":[78],"solution,":[79],"proposed":[81,128,139],"includes":[83],"additional":[84],"geometric":[85],"shape":[86],"hill,":[92],"which":[93],"modeled":[95],"as":[96],"soft":[97],"embedded":[100],"into":[101],"estimation":[103,111],"framework":[104],"improve":[106],"accuracy.":[112],"Results":[113],"both":[115],"simulated":[116],"data":[118,122],"real":[120],"demonstrate":[123],"effectiveness":[125],"method.":[129],"Moreover,":[130],"between":[133],"jump":[134,152],"lengths":[135],"obtained":[136],"video":[142],"recordings":[143],"shows":[144],"relative":[146],"root-mean-square":[147],"error":[148],"reconstructed":[151],"length":[153],"is":[154],"below":[155],"1.5":[156],"m":[157],"depicting":[158],"accuracy":[160],"algorithm.":[163]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3014683905","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-01-07T22:07:10.402851","created_date":"2020-04-10"}