The traditional method is to establish a mapping calculation from the light field to the display surface to generate elemental images, but there will be a lot of redundancy. To solve this problem, an iterative algorithm along a mapped light path is proposed so that a single shot from an elemental image display surface to a reconstructed light field can be established. Each pixel in an elemental image only corresponds to a unique light-field pixel, which can improve the pixel matching accuracy and eliminate a depth void at a step. The core of the proposed algorithm is based on each point on a display surface of an elemental image as the starting point, passing through the optical center of a lens as a ray through an iterative search to find the intersection of the ray and light field surface closest to an observer. Such an intersection is used as the matching point of the elemental image. The time complexity of the proposed algorithm is mainly controlled by the sum of pixels of an elemental image array. Calculation and generation rates of elemental images using the proposed algorithm are usually more than eight times those of the existing algorithm. An advantage of the proposed algorithm is that the total number of pixels in the image is directly proportional to the speed of the algorithm. The experimental results verify the correctness of the theoretical statements emphasized in this study.