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24 February 1982 On The Calculation Of Derivatives From Digital Information
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Abstract
Biomechanics analysis frequently requires cinematographic studies as a first step toward understanding the essential mechanics of a sport or exercise. In order to understand the exertion by the athlete, cinematography is used to establish the kinematics from which the energy exchanges can be considered and the equilibrium equations can be studied. Errors in the raw digital information necessitate smoothing of the data before derivatives can be obtained. Researchers employ a variety of curve-smoothing techniques including filtering and polynomial spline methods. It is essential that the researcher understands the accuracy which can be expected in velocities and accelerations obtained from smoothed digital information. This paper considers particular types of data inherent in athletic motion and the expected accuracy of calculated velocities and accelerations using typical error distributions in the raw digital information. Included in this paper are high acceleration, impact and smooth motion types of data.
© (1982) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Christopher G. Pettett and David R. Budney "On The Calculation Of Derivatives From Digital Information", Proc. SPIE 0291, 2nd Intl Symp of Biomechanics Cinematography and High Speed Photography, (24 February 1982); https://doi.org/10.1117/12.932308
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