Characteristic points and cycles in planar kinematics with application to the human gait

Czasopismo : Acta of Bioengineering and Biomechanics
Tytuł artykułu : Characteristic points and cycles in planar kinematics with application to the human gait

Autorzy :
Rumian, Ł.
Department of Biomaterials, Faculty of Materials Science and Ceramics, AGH University of Science and Technology, Krakow, Poland,
Reczyńska, K.
Department of Biomaterials, Faculty of Materials Science and Ceramics, AGH University of Science and Technology, Krakow, Poland,
Wrona, M.
Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, Krakow, Poland,
Tiainen, H.
Department of Biomaterials, Institute for Clinical Dentistry, University of Oslo, Oslo, Norway,
Haugen, H. J.
Department of Biomaterials, Institute for Clinical Dentistry, University of Oslo, Oslo, Norway,
Pamuła, E.
Department of Biomaterials, Faculty of Materials Science and Ceramics, AGH University of Science and Technology, Krakow, Poland, epamula@agh.edu.pl,
Turek, A.
Centre of Polymer and Carbon Materials, Polish Academy of Sciences, Zabrze, Poland, a.turek75@gmail.com,
Kasperczyk, J.
Centre of Polymer and Carbon Materials, Polish Academy of Sciences, Zabrze, Poland,
Jelonek, K.
Centre of Polymer and Carbon Materials, Polish Academy of Sciences, Zabrze, Poland,
Borecka, A.
Centre of Polymer and Carbon Materials, Polish Academy of Sciences, Zabrze, Poland,
Janeczek, H.
Centre of Polymer and Carbon Materials, Polish Academy of Sciences, Zabrze, Poland,
Libera, M.
Centre of Polymer and Carbon Materials, Polish Academy of Sciences, Zabrze, Poland,
Gruchlik, A.
Centre of Polymer and Carbon Materials, Polish Academy of Sciences, Zabrze, Poland,
Dobrzyński, P.
Centre of Polymer and Carbon Materials, Polish Academy of Sciences, Zabrze, Poland,
Wojda, S.
Faculty of Mechanical Engineering, Białystok University of Technology, Białystok, Poland,
Szoka, B.
Faculty of Mechanical Engineering, Białystok University of Technology, Białystok, Poland,
Sajewicz, E.
Faculty of Mechanical Engineering, Białystok University of Technology, Białystok, Poland, e.sajewicz@pb.edu.pl,
Kiel-Jamrozik, M.
Silesian University of Technology, Faculty of Biomedical Engineering, Department of Biomaterials and Medical Devices Engineering, Zabrze, Poland, marta.kiel-jamrozik@polsl.pl,
Szewczenko, J.
Silesian University of Technology, Faculty of Biomedical Engineering, Department of Biomaterials and Medical Devices Engineering, Zabrze, Poland,
Basiaga, M.
Silesian University of Technology, Faculty of Biomedical Engineering, Department of Biomaterials and Medical Devices Engineering, Zabrze, Poland,
Nowińska, K.
Silesian University of Technology, Faculty of Mining and Geology, Institute of Applied Geology, Gliwice, Poland,
Salasek, M.
Department of Orthopaedics and Traumatology, Faculty of Medicine of Charles University and Faculty Hospital in Plzeň, Czech Republic, martin.salasek@seznam.cz,
Jansova, M.
Department of Mechanics, Faculty of Applied Sciences and New Technologies for Information Society of West Bohemian University in Plzeň, Czech Republic.,
Křen, J.
Department of Mechanics, Faculty of Applied Sciences and New Technologies for Information Society of West Bohemian University in Plzeň, Czech Republic,
Pavelka, T.
Department of Orthopaedics and Traumatology, Faculty of Medicine of Charles University and Faculty Hospital in Plzeň, Czech Republic,
Weisova, D.
Department of Orthopaedics and Traumatology, Faculty of Medicine of Charles University and Faculty Hospital in Plzeň, Czech Republic,
Reimann, Ł.
Institute of Materials Engineering and Biomaterials, Faculty of Mechanical Engineering, Silesian University of Technology, Gliwice, Poland, lukasz.reimann@polsl.pl,
Żmudzki, J.
Institute of Materials Engineering and Biomaterials, Faculty of Mechanical Engineering, Silesian University of Technology, Gliwice, Poland,
Dobrzański, L.
Institute of Materials Engineering and Biomaterials, Faculty of Mechanical Engineering, Silesian University of Technology, Gliwice, Poland,
Szpala, A.
Department of Biomechanics, University School of Physical Education in Wrocław, Wrocław, Poland, agnieszka.szpala@awf.wroc.pl,
Rutkowska-Kucharska, A.
Department of Biomechanics, University School of Physical Education in Wrocław, Wrocław, Poland,
Stawiany, M.
Department of Biomechanics, University School of Physical Education in Wrocław, Wrocław, Poland,
Olchowik, G.
Department of Biophysics, Medical University of Lublin, Lublin, Poland,
Tomaszewski, M.
Department of Human Anatomy, Medical University of Lublin, Lublin, Poland, tomaszewski.marek@gmail.com,
Olejarz, P.
Department of Otolaryngology and Laryngeal Oncology, SPSK-4, Lublin, Poland,
Warchoł, J.
Department of Biophysics, Medical University of Lublin, Lublin, Poland,
Różańska-Boczula, M.
Department of Applied Mathematics and Informatics, Scientific University of Lublin, Lublin, Poland,
Maciejewski, R.
Department of Human Anatomy, Medical University of Lublin, Lublin, Poland,
Dathe, H.
Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany, hdathe1@gwdg.de,
Gezzi, R.
Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany,
Kubein-Meesenburg, D.
Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany,
Nägerl, H.
Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany,
Abstrakty : Purpose: We present a novel method to process kinematical data typically coming from measurements of joints. This method will be illustrated through two examples. Methods: We adopt theoretical kinematics together with the principle of least action. We use motion and inverse motion for describing the whole experimental situation theoretically. Results: By using the principle of least action, the data contain information about inherent reference points, which we call characteristic points. These points are unique for direct and inverse motion. They may be viewed as centers of the fixed and moving reference systems. The respective actions of these characteristic points are analytically calculated. The sum of these actions defines the kinematical action. This sum is by design independent of the choice of reference system. The minimality of the kinematical action can be used again to select numerically one representative cycle in empirically given, approximately periodic motions. Finally, we illustrate the theoretical approach making use of two examples worked out, hinge movement and the sagittal component of the movement of a human leg during gait. Conclusions: This approach enables automatic cycle choices for evaluating large databases in order to compare and to distinguish empirically given movements. The procedure can be extended to three dimensional movements.

Słowa kluczowe : kinematyka, ruch, chód, człowiek, automatic cycle choice, center of motion, planar kinematics, principle of least action,
Wydawnictwo : Oficyna Wydawnicza Politechniki Wrocławskiej
Rocznik : 2015
Numer : Vol. 17, nr 1
Strony : 75 – 86
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DOI :
Cytuj : Rumian, Ł. ,Reczyńska, K. ,Wrona, M. ,Tiainen, H. ,Haugen, H. J. ,Pamuła, E. ,Turek, A. ,Kasperczyk, J. ,Jelonek, K. ,Borecka, A. ,Janeczek, H. ,Libera, M. ,Gruchlik, A. ,Dobrzyński, P. ,Wojda, S. ,Szoka, B. ,Sajewicz, E. ,Kiel-Jamrozik, M. ,Szewczenko, J. ,Basiaga, M. ,Nowińska, K. ,Salasek, M. ,Jansova, M. ,Křen, J. ,Pavelka, T. ,Weisova, D. ,Reimann, Ł. ,Żmudzki, J. ,Dobrzański, L. ,Szpala, A. ,Rutkowska-Kucharska, A. ,Stawiany, M. ,Olchowik, G. ,Tomaszewski, M. ,Olejarz, P. ,Warchoł, J. ,Różańska-Boczula, M. ,Maciejewski, R. ,Dathe, H. ,Gezzi, R. ,Kubein-Meesenburg, D. ,Nägerl, H. , Characteristic points and cycles in planar kinematics with application to the human gait. Acta of Bioengineering and Biomechanics Vol. 17, nr 1/2015
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