The present invention is directed to a two-handed input control system that dynamically changes an input-to-object mapping for mapping movement of a graphical object on a display of a virtual scene as the viewpoint of the virtual scene changes. As input to the system for changing the position of the graphical object occurs, the mapping is revised to reflect changes in the viewpoint so that the object moves as inherently expected. That is, changes to the viewpoint change the mapping so that a correspondence between the viewpoint and the input space is always maintained. During movement of the object a screen cursor is visually suppressed so that the movement of the graphical object and the screen cursor do not split the attention of the user. The screen cursor is always maintained within the visual display region of the virtual scene even when the object moves out of the visual display region by moving the cursor to a center of the screen when it reaches an edge of the screen.