title: Interpolating three-dimensional kinematic data using quaternion splines and hermite curves.
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.
authors.affiliation: Bioengineering Laboratory, Dept. of Orthopaedics, Brown Medical School/Rhode Island Hospital, 1 Hoppin Street, Coro West, Suite 404, Providence, RI 02903, USA.
authors.forename: James
authors.initials: J
authors.lastname: Coburn
authors.forename: Joseph J
authors.initials: JJ
authors.lastname: Crisco
mesh_terms: D000465:Algorithms; D000818:Animals; D001696:Biomechanical Phenomena / Q000379:methods; D003198:Computer Simulation; D006801:Humans; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D007596:Joints / Q000033:anatomy & histology* / Q000502:physiology*; D008954:Models, Biological; D009068:Movement / Q000502:physiology*; D009716:Numerical Analysis, Computer-Assisted; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity