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Interpolating three-dimensional kinematic data using quaternion splines and hermite curves
James Coburn1, Joseph J Crisco
1Bioengineering Laboratory, Dept. of Orthopaedics, Brown Medical School/Rhode Island Hospital, 1 Hoppin Street, Coro West, Suite 404, Providence, RI 02903, USA.
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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