Towards the notion of average trajectory of the repeating motion of human limbs

Abstract

Average trajectory of the repeating motion of the limb joint defined in this paper. Majority of the existing results communicate analysis of the motions by means of different numeric parameters which does not necessary provide desirable feedback for those without deep knowledge of the subject. The notion of the average trajectory defined as the pair, consisting of trajectory, describing the shape of the joint motion, and pipe-shaped neighbourhood, describing variability of the observed motions. Proposed notion allows visualisation in three-dimensional space, which is easily interpretable and in turn may be used as feedback communicating results of the training or therapy session. Numeric parameters are associated with the average trajectory to validate proposed definition.