Abstract: The invention provides a method, device and mechanism for human-computer interaction (HCI) on a graphical user interface (GUI). The method includes the steps of establishing a joint interaction arena (JIA) as a bounded connected subspace of the computing device's control space, establishing a Fused Threshold (FT) on the boundary of the JIA, establishing one or more interactive objects, establishing a relation between one or more of segments of the Fused Threshold and the object(s), displaying representations of at least two of the objects, receiving user input relative to the JIA and the FT, changing the JIA and/or the FT based on the user input whenever the relevant user input changes, and displaying the effect of the changes on the displayed objects.

Abstract: The invention provides a method for human-computer interaction (HCI) on a graphical user interface (GUI). The method includes the steps of displaying a plurality of objects positioned in relation to each other and in relation to the display window; determining user input; distorting at least one of the position relations according to a magnification function with a focal dip, where the focal position of the magnification function is controllable by the user input; and updating the distortion whenever the relevant user input changes.