{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T14:32:51Z","timestamp":1774276371006,"version":"3.50.1"},"reference-count":33,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2011,11,7]],"date-time":"2011-11-07T00:00:00Z","timestamp":1320624000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A new method for estimation of angles of leg segments and joints, which uses accelerometer arrays attached to body segments, is described. An array consists of two accelerometers mounted on a rigid rod. The absolute angle of each body segment was determined by band pass filtering of the differences between signals from parallel axes from two accelerometers mounted on the same rod. Joint angles were evaluated by subtracting absolute angles of the neighboring segments. This method eliminates the need for double integration as well as the drift typical for double integration. The efficiency of the algorithm is illustrated by experimental results involving healthy subjects who walked on a treadmill at various speeds, ranging between 0.15 m\/s and 2.0 m\/s. The validation was performed by comparing the estimated joint angles with the joint angles measured with flexible goniometers. The discrepancies were assessed by the differences between the two sets of data (obtained to be below 6 degrees) and by the Pearson correlation coefficient (greater than 0.97 for the knee angle and greater than 0.85 for the ankle angle).<\/jats:p>","DOI":"10.3390\/s111110571","type":"journal-article","created":{"date-parts":[[2011,11,7]],"date-time":"2011-11-07T11:36:28Z","timestamp":1320665788000},"page":"10571-10585","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":71,"title":["Kinematics of Gait: New Method for Angle Estimation Based on Accelerometers"],"prefix":"10.3390","volume":"11","author":[{"given":"Milica D.","family":"Djuri\u0107-Jovi\u010di\u0107","sequence":"first","affiliation":[{"name":"School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, Belgrade, Serbia"},{"name":"Tecnalia Serbia, Vladetina 13\/6, Belgrade, Serbia"}]},{"given":"Nenad S.","family":"Jovi\u010di\u0107","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, Belgrade, Serbia"}]},{"given":"Dejan B.","family":"Popovi\u0107","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, Belgrade, Serbia"},{"name":"Center for Sensory Motor Interaction, Aalborg University, Fredrik Bajers Vej 7, Aalborg, Denmark"}]}],"member":"1968","published-online":{"date-parts":[[2011,11,7]]},"reference":[{"key":"ref_1","unstructured":"Allard, P., Cappozzo, A., Lundberg, A., and Vaughan, C.L. (1997). Three-Dimensional Analysis of Human Locomotion, Wiley."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1016\/j.medengphy.2004.04.002","article-title":"Joint kinematics and spatial-temporal parameters of gait measured by an ultrasound-based system","volume":"26","author":"Kiss","year":"2004","journal-title":"Med. Eng. Phys"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/S0966-6362(96)01102-2","article-title":"A new system for three-dimensional gait recording using electromagnetic tracking","volume":"6","author":"Kobayashi","year":"1997","journal-title":"Gait Posture"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"8705","DOI":"10.3390\/s100908705","article-title":"Assessment of human ambulatory speed by measuring near-body air flow","volume":"10","author":"Bonomi","year":"2010","journal-title":"Sensors"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"9133","DOI":"10.3390\/s91109133","article-title":"Measuring gait using a ground laser range sensor","volume":"9","author":"Tresanchez","year":"2009","journal-title":"Sensors"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2611","DOI":"10.3390\/s110302611","article-title":"User identification using gait patterns on UbiFloorII","volume":"11","author":"Yun","year":"2011","journal-title":"Sensors"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"10240","DOI":"10.3390\/s101110240","article-title":"A wearable ground reaction force sensor system and its application to the measurement of extrinsic gait variability","volume":"10","author":"Liu","year":"2010","journal-title":"Sensors"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"9026","DOI":"10.3390\/s101009026","article-title":"Wearable systems for monitoring mobility-related activities in chronic disease: A systematic review","volume":"10","author":"Allet","year":"2010","journal-title":"Sensors"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1007\/BF02344720","article-title":"Position-sensing technologies for movement analysis in stroke rehabilitation","volume":"43","author":"Zheng","year":"2005","journal-title":"Med. Biol. Eng. Comp"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"711","DOI":"10.1016\/S1350-4533(01)00009-1","article-title":"A model of an electro-goniometer and its calibration for biomechanical applications","volume":"22","author":"Legnani","year":"2000","journal-title":"Med. Eng. Phys"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1016\/S0268-0033(03)00110-4","article-title":"Reliability and accuracy of different sensors of a flexible electrogoniometers","volume":"18","author":"Shiratsu","year":"2003","journal-title":"Clin. Biomech"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1016\/S0021-9290(01)00231-7","article-title":"Accelerometer and rate gyroscope measurement of kinematics: An inexpensive alternative to optical motion analysis systems","volume":"35","author":"Mayagoitia","year":"2002","journal-title":"J. Biomech"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1016\/S0021-9290(02)00008-8","article-title":"Spatio-temporal parameters of gait measured by an ambulatory system using miniature gyroscopes","volume":"35","author":"Aminian","year":"2002","journal-title":"J. Biomech"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1478","DOI":"10.1109\/TBME.2005.851475","article-title":"A new approach to accurate measurement of uniaxial joint angles based on a combination of accelerometers and gyroscopes","volume":"52","author":"Dejnabadi","year":"2005","journal-title":"IEEE Trans. Biomed. Eng"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1669","DOI":"10.1109\/JSEN.2006.881433","article-title":"Sensing tilt with MEMS accelerometers","volume":"6","author":"Luczak","year":"2006","journal-title":"IEEE Sensors J"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"7772","DOI":"10.3390\/s100807772","article-title":"A review of accelerometry-based wearable motion detectors for physical activity monitoring","volume":"10","author":"Yang","year":"2010","journal-title":"Sensors"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/j.gaitpost.2009.02.017","article-title":"Analysis of stroke patient walking dynamics using a tri-axial accelerometer","volume":"30","author":"Mizuike","year":"2009","journal-title":"Gait Posture"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1016\/0021-9290(94)00124-M","article-title":"Kinetic analysis of the lower limbs during walking: What information can be gained from a three-dimensional model?","volume":"28","author":"Eng","year":"1995","journal-title":"J. Biomech"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1016\/j.jbiomech.2008.10.027","article-title":"Gait analysis using gravitational acceleration measured by wearable sensors","volume":"42","author":"Takeda","year":"2009","journal-title":"J. Biomech"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2486","DOI":"10.1016\/j.jbiomech.2009.07.016","article-title":"Gait posture estimation using wearable acceleration and gyro sensors","volume":"42","author":"Takeda","year":"2009","journal-title":"J. Biomech"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"7314","DOI":"10.3390\/s110807314","article-title":"Real-time gait cycle parameter recognition using a wearable accelerometry system","volume":"11","author":"Yang","year":"2011","journal-title":"Sensors"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.1016\/j.jbiomech.2007.12.003","article-title":"Ambulatory measurement of 3D knee joint angle","volume":"41","author":"Favre","year":"2008","journal-title":"J. Biomech"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"2604","DOI":"10.1016\/j.jbiomech.2006.12.010","article-title":"An inertial and magnetic sensor based technique for joint angle measurement","volume":"40","author":"Kamnik","year":"2007","journal-title":"J. Biomech"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1007\/BF02345283","article-title":"Detecting absolute human knee angle and angular velocity using accelerometers and rate gyroscopes","volume":"39","author":"Williamson","year":"2001","journal-title":"Med. Biol. Eng. Comp"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11517-009-0544-y","article-title":"First in vivo assessment of \u201cOutwalk\u201d: A novel protocol for clinical gait analysis based on inertial and magnetic sensors","volume":"48","author":"Ferrari","year":"2010","journal-title":"Med. Biol. Eng. Comp"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1016\/0021-9290(73)90029-8","article-title":"Accelerometry\u2014A technique for the measurement of human body movements","volume":"6","author":"Morris","year":"1973","journal-title":"J. Biomech"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S1350-4533(99)00030-2","article-title":"A practical gait analysis system using gyroscopes","volume":"21","author":"Tong","year":"1999","journal-title":"Med. Eng. Phys"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1385","DOI":"10.1109\/TBME.2006.873678","article-title":"Estimation and visualization of sagittal kinematics of lower limbs orientation using body-fixed sensors","volume":"53","author":"Dejnabadi","year":"2006","journal-title":"IEEE Trans. Biomed. Eng"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1109\/TNSRE.2003.822759","article-title":"Inclination measurement of human movement using a 3-D accelerometer with autocalibration","volume":"12","author":"Luinge","year":"2004","journal-title":"IEEE Trans. Neur. Syst. Rehabil. Eng"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/BF02345966","article-title":"Measuring orientation of human body segments using miniature gyroscopes and accelerometers","volume":"43","author":"Luinge","year":"2005","journal-title":"Med. Biol. Eng. Comp"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"2678","DOI":"10.1016\/j.jbiomech.2009.08.004","article-title":"Inertial sensor-based knee flexion\/extension angle estimation","volume":"42","author":"Cooper","year":"2009","journal-title":"J. Biomech"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1016\/0021-9290(90)90033-Y","article-title":"Real-time gait assessment utilizing a new way of accelerometry","volume":"23","author":"Willemsen","year":"1990","journal-title":"J. Biomech"},{"key":"ref_33","unstructured":"Biometrics Goniometers http:\/\/www.biometricsltd.com\/gonio.htm (access on 25 October 2011)."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/11\/11\/10571\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:57:56Z","timestamp":1760219876000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/11\/11\/10571"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,11,7]]},"references-count":33,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2011,11]]}},"alternative-id":["s111110571"],"URL":"https:\/\/doi.org\/10.3390\/s111110571","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,11,7]]}}}