Intermediate elemental image reconstruction for refocused three-dimensional images in integral imaging by convolution with δ-function sequences

Abstract We propose a novel approach for intermediate elemental image reconstruction in integral imaging. To reconstruct intermediate elemental images, we introduce a null elemental image whose pixels are all zero. In the proposed method a number of null elemental images are inserted into a given elemental image array. The elemental image array with null elemental images is convolved with the δ-function sequence. The convolution result shows that the proposed method provides an efficient structure to expand an elemental image array. The resulting elemental image array from the proposed method can supply three-dimensional information for an object at a specific depth. In addition, the proposed method provides adjustable parameters, which can be utilized in design of integral imaging systems. The feasibility of the proposed method has been confirmed through preliminary experiments and theoretical analysis.