Interpolating three-dimensional kinematic data using quaternion splines and hermite curves.

James Coburn; Joseph J Crisco

doi:10.1115/1.1865195

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Interpolating three-dimensional kinematic data using quaternion splines and hermite curves.

James Coburn·Joseph J Crisco

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Abstract

Kinematic interpolation is an important tool in biomechanics. The purpose of this work is to describe a method for interpolating three-dimensional kinematic data, minimizing error while maintaining ease of calculation. This method uses cubic quaternion and hermite interpolation to fill gaps between kinematic data points. Data sets with a small number of samples were extracted from a larger data set and used to validate the technique. Two additional types of interpolation were applied and then compared to the cubic quaternion interpolation. Displacement errors below 2% using the cubic quaternion method were achieved using 4% of the total samples, representing a decrease in error over the other algorithms.

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Algorithms Animals Biomechanical Phenomena Computer Simulation Humans Image Enhancement Image Interpretation, Computer-Assisted Imaging, Three-Dimensional Joints Models, Biological Movement Numerical Analysis, Computer-Assisted Reproducibility of Results Sensitivity and Specificity Comparative Study Evaluation Study Journal Article Research Support, N.I.H., Extramural Research Support, U.S. Gov't, P.H.S.

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James Coburn, Joseph J Crisco. 2005. Interpolating three-dimensional kinematic data using quaternion splines and hermite curves.. https://doi.org/10.1115/1.1865195

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