Introducing the Interaction Distance in the context of Distance Geometry for Human Motions
A. Mucherino

The dynamical Distance Geometry Problem (dynDGP) is a recently introduced subclass of the distance geometry where problems have a dynamical component. The graphs G of dynDGPs have a vertex set that is the set product of two sets: the set V, containing the objects to animate, and the set T, representing the time. In this article, the focus is given to special instances of the dynDGP that are used to represent human motion adaptation problems, where the set V admits a skeletal structure. The interaction distance is introduced as a possible replacement of the Euclidean distance which is able to capture the information about the dynamics of the problem, and some initial properties of this new distance are presented.