A head-mounted display comprises a display device and an outward-facing depth camera. A storage machine comprises instructions executable by a logic machine to present one or more virtual objects on the display device, to receive information from the depth camera about an environment, and to determine a position of the head-mounted display within the environment. Based on the position of the head-mounted display, a position of a joint of a user's arm is inferred. Based on the information received from the depth camera, a position of a user's hand is determined. A ray is cast from a portion of the user's hand based on the position of the joint of the user's arm and the position of the user's hand. Responsive to the ray intersecting with one or more control points of a virtual object, the user is provided with an indication that the virtual object is being targeted.