Figure 2
From: Characteristic time in highly motivated movements of children and adults through bottlenecks
Definition of motion activation time calculation method. Black points represent the positions of each pedestrian in the first frame. Voronoi diagrams represent the space each pedestrian takes up at this time. The red star represents the middle point of the exit and we assume that each pedestrian moves towards the target at the beginning of the experiment. The red point represents the intersection between the moving target and the boundary of the pedestrian’s occupied space. The distance da between the pedestrian position and the intersection represents the personal available distance. The grey solid circles represent an individual at two different time in an experiment. \(d_{m}\) represents the movement distance calculated by the coordinate of the individual. When \(d_{m} > d_{mth}\), the time is set as the moving time tm. When \(d_{\alpha } > d_{\alpha \_threshold}\), the time is set as the available movement time \(t_{a}\). Motion activation time is obtained by \(t_{MA} = t_{m} - t_{a}\) (See Eq. 2).
