Embodiments are described herein for determining a stabilization plane to reduce errors that occur when a homographic transformation is applied to a scene including 3D geometry and/or multiple non-coplanar planes. Such embodiments can be used, e.g., when displaying an image on a head mounted display (HMD) device, but are not limited thereto. In an embodiment, a rendered image is generated, a gaze location of a user is determined, and a stabilization plane, associated with a homographic transformation, is determined based on the determined gaze location. This can involve determining, based on the user's gaze location, variables of the homographic transformation that define the stabilization plane. The homographic transformation is applied to the rendered image to thereby generate an updated image, and at least a portion of the updated image is then displayed.