{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,16]],"date-time":"2024-08-16T13:11:30Z","timestamp":1723813890701},"reference-count":27,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2020,4,2]],"date-time":"2020-04-02T00:00:00Z","timestamp":1585785600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004543","name":"China Scholarship Council","doi-asserted-by":"publisher","award":["201506120031"],"id":[{"id":"10.13039\/501100004543","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["GSC 81"],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"To satisfy an increasing demand to reconstruct an athlete\u2019s motion for performance analysis, this paper proposes a new method for reconstructing the position and velocity in the context of ski jumping trajectories. Therefore, state-of-the-art wearable sensors, including an inertial measurement unit, a magnetometer, and a GPS logger are used. The method employs an extended Rauch-Tung-Striebel smoother with state constraints to estimate state information offline from recorded raw measurements. In comparison to the classic inertial navigation system and GPS integration solution, the proposed method includes additional geometric shape information of the ski jumping hill, which are modeled as soft constraints and embedded into the estimation framework to improve the position and velocity estimation accuracy. Results for both simulated measurement data and real measurement data demonstrate the effectiveness of the proposed method. Moreover, a comparison between jump lengths obtained from the proposed method and video recordings shows the relative root-mean-square error of the reconstructed jump length is below 1.5 m depicting the accuracy of the algorithm.<\/jats:p>","DOI":"10.3390\/s20071995","type":"journal-article","created":{"date-parts":[[2020,4,2]],"date-time":"2020-04-02T15:57:14Z","timestamp":1585843034000},"page":"1995","source":"Crossref","is-referenced-by-count":7,"title":["Ski Jumping Trajectory Reconstruction Using Wearable Sensors via Extended Rauch-Tung-Striebel Smoother with State Constraints"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-5821-6678","authenticated-orcid":false,"given":"Xiang","family":"Fang","sequence":"first","affiliation":[{"name":"Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany"}]},{"ORCID":"http:\/\/orcid.org\/0000-0001-8750-8867","authenticated-orcid":false,"given":"Benedikt","family":"Gr\u00fcter","sequence":"additional","affiliation":[{"name":"Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany"}]},{"ORCID":"http:\/\/orcid.org\/0000-0003-3881-984X","authenticated-orcid":false,"given":"Patrick","family":"Piprek","sequence":"additional","affiliation":[{"name":"Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany"}]},{"ORCID":"http:\/\/orcid.org\/0000-0001-5978-9649","authenticated-orcid":false,"given":"Veronica","family":"Bessone","sequence":"additional","affiliation":[{"name":"Department of Biomechanics in Sports, Faculty of Sport and Health Sciences, Technical University of Munich, 80992 Munich, Germany"}]},{"ORCID":"http:\/\/orcid.org\/0000-0003-3881-327X","authenticated-orcid":false,"given":"Johannes","family":"Petrat","sequence":"additional","affiliation":[{"name":"Department of Biomechanics in Sports, Faculty of Sport and Health Sciences, Technical University of Munich, 80992 Munich, Germany"},{"name":"Olympic Training Center of Bavaria, 80809 Munich, Germany"}]},{"ORCID":"http:\/\/orcid.org\/0000-0003-4733-9186","authenticated-orcid":false,"given":"Florian","family":"Holzapfel","sequence":"additional","affiliation":[{"name":"Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany"}]}],"member":"1968","published-online":{"date-parts":[[2020,4,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2157","DOI":"10.1016\/j.jbiomech.2004.10.004","article-title":"Characteristics of the early flight phase in the Olympic ski jumping competition","volume":"38","author":"Virmavirta","year":"2005","journal-title":"J. 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