1. A producing method of an elemental image array for three-dimensional image display in a three-dimensional image display device of a horizontal parallax type that includes a two-dimensional image display unit having a plurality of pixels arranged two-dimensionally therein, and a light-ray control element that has a plurality of exit pupils for controlling light rays emitted from the pixels in such a manner that a position for viewing image information represented by the pixels is varied for each pixel, a plurality of pixels being horizontally allocated to each one of the exit pupils, the pixels allocated to the exit pupils forming a set of elemental image display pixels, parallax information being generated in a horizontal direction by allocating image information to each of the elemental image display pixels according to directions in which the elemental image display pixels are viewed through the exit pupils, the three-dimensional image display device of the horizontal parallax type using the parallax information to cause a viewer to recognize a three-dimensional image, pixel information of multi-view images projected onto a display face of the three-dimensional image display device in various directions with respect to the horizontal direction being allocated to the elemental image display pixels according to projecting directions, thereby producing the elemental image array for three-dimensional image display, the method comprising: adjusting the horizontal resolution of the two-dimensional image; obtaining the multi-view images by shifting a position to perform sampling on the two-dimensional image in the horizontal direction at regular intervals, after the resolution adjustment; and rearranging the multi-view images according to the positional relationship between the exit pupils and the projecting directions.