Abstract: A head-mounted device is provided that includes displays configured to display an image and to simultaneously display a magnifying window that presents a magnified portion of the image. The magnifying window lies in a magnification plane that is fixed relative to a user's head. One or more processors in the head-mounted device can be used to perform a first ray cast operation to identify an input point where a detected user input intersects the magnifying window, to obtain a remapped point from the input point, to compute a directional vector based on the remapped point and a reference point associated with the user's head, to obtain a shifted point by shifting the remapped point from the magnification plane to another plane parallel to the magnification plane, and to perform a second ray cast operation using the shifted point and the directional vector.

Abstract: While a view of a three-dimensional environment is visible via a display generation component of a computer system, the computer system receives, from a user, one or more first user inputs corresponding to selection of a respective direction in the three-dimensional environment relative to a reference point associated with the user, and displays a ray extending from the reference point in the respective direction. While displaying the ray, the system displays a selection cursor moving along the ray independently of user input. When the selection cursor is at a respective position along the ray, the system receives one or more second user inputs corresponding to a request to stop the movement of the selection cursor along the ray and, in response, sets a target location for a next user interaction to a location in the three-dimensional environment that corresponds to the respective position of the selection cursor along the ray.