Mahaanobis Distance Approach to Movement Judgement

Abstract

To create beautiful movements ins sports and smart and flexible movements in our daily life, we need to coordinate many body parts. But most of the movement researches study only movement control.

As muscles harden and move together with our skeleton, when we get close to the target object, our movement trajectory becomes fixed, so that we can apply mathematical approaches and control its movement. But in sports and in our daily life, we need to coordinate many body parts, because muscles move separately from skeleton. Thus, coordination plays an important role to create movements, but there are very few researches on coordination. As it involves a large number of dimensions, Euclidean Space approach we have been using up to now in control-based studies cannot be applied anymore. Even if we may be able to apply it, the curse of dimensionality emerges, and it cannot be processed. But if we observe babies, they learn to walk on their own instinct, and grow and learn how to cope with the real world. So, in this paper, Mahalanobis Distance-Pattern approach, a holistic performance indicator is proposed to help our instinct perceive the situation and to help us make a decision to move adequately or beautifully. This will contribute to creating beautiful movements in sports and in our daily life. As the etymology of sports indicates, i.e., sports mean pleasure, MDP Approach is expected to bring us enjoyment in sports and in our daily life.