Image-directing devices, e.g. barriers or lenticular lenses, tilted so as to be other than vertical (zero degrees) or horizontal (ninety degrees), display two or more individual images, each viewable from a different viewing point. Composite images so displayed provide substantially the desired viewing experience regardless of whether their viewing surfaces are tipped about a vertical axis or about a horizontal axis. The composite images are desirably generated from individual images, using novel pixel mapping methods. Lenticular sheets and barrier screens are desirably made with the lenses or barriers oriented at a defined angle to the edge of the sheet.