A method includes receiving an image of a real environment captured using a camera worn by a user, the image comprising a hand of the user and determining a pose of the hand based on the image. Based on a three-dimensional model of the hand having the determined pose, generating a two-dimensional surface representing the hand as viewed from a first viewpoint of the user and positioning the two-dimensional surface representing the hand and one or more virtual-object representations in a three-dimensional space. The method further includes determining that a portion of the two-dimensional surface representing the hand is visible from a second viewpoint in the three-dimensional space, and generating an output image, wherein a set of image pixels of the output image corresponding to the portion of the two-dimensional surface that is visible is configured to cause a display to tur off a set of corresponding display pixels.