Calculation of derivatives and Fouriercoefficients of human motion data, while using spline functions

作者: Karel Soudan , Paul Dierckx

DOI: 10.1016/0021-9290(79)90005-8

关键词: Mathematical problemPhotographyAlgorithmSmoothingM-splineComputationArtificial intelligenceThin plate splineSpline (mathematics)Fourier analysisComputer visionMathematicsBiophysicsRehabilitationOrthopedics and Sports MedicineBiomedical engineering

摘要: When analysing and evaluating human motion, two mathematical problems frequently occur: the determination of derivatives (velocities accelerations) from displacement data computation Fouriercoefficients. In this paper spline functions are used to solve these problems. The noise inherent in raw will be reduced by smoothing them with a approximation. Beside explanation algorithm its advantages, technique is illustrated applications: accelerations Pezzack et al. (1977) calculation Fourierseries knee rotation test person, recorded stroboscopic light photography our gait laboratory. method proved rapid one provide accurate results, even if perceptibly influenced errors.

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