A method to create a holographic projection adjusts both for relatively sl and relatively large head movements of the human viewer. Basically, the method includes sending sequences of images on an optical path from a projector to an eyebox array, the images in the sequences being views of the object from different angles. In the method's first step, the sequences of images are sent to a quasi-cylindrical mirror having two or more arcuate zones. Each zone corresponds to a particular range of viewer head positions and to a particular sequence of images, and each image reflects from a different, characteristic location in its associated zone. Once the images reflect from the quasi-cylindrical mirror, they pass through an HOE in the optical path to the eyebox array. Any given sequence of images is sufficient for an eyebox array whose width accommodates relatively small head, motions of the viewer. Accommodating larger movements of the viewer's head is done by tracking the viewer's head and directing light rays from the projector in response to these movements.