An interaction arrangement for interaction between at least one screen arranged behind a transparent pane and at least one pointer object located in front of the pane, comprising at least two cameras arranged behind the pane, wherein there is associated with each of the cameras a deflection unit by means of which at least one optical path from an interaction area in the vicinity of and in front of the pane can be directed into the camera, and comprising a computing unit connected to all of the cameras for determining a position of the pointer object which is guided so as to be visible for at least two of the cameras, wherein at least the interaction area can be stroboscopically illuminated with infrared light, and the cameras are sensitive to infrared light and can be synchronized with the stroboscopic illumination.