A head-tracking multiview display and a system provide a plurality of views of a scene as a multiview image. The plurality of views includes a set of primary views of the scene and a secondary view representing a perspective view of the scene that is angularly adjacent to the primary view set. The display and system are multibeam diffraction grating-based and configured to selectively provide the primary view set and an augmented set of views that includes the secondary view and a subset of the views of the primary view set based on a tracked position of a user or a user's head. At a first position the display is configured to provide the primary view set and at a second position the display is configured to provide the augmented view set.