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Integral imaging is employed as part of a three-dimensional imaging system, allowing the display of full colour images with continuous parallax within a wide viewing zone. A significant quantity of data is required to represent a captured integral 3D image with high resolution. In this paper, a novel approach to the problem of compressing the significant quantity of data required to represent integral 3D video is presented. The algorithm is based on 3D discrete cosine transform (3D-DCT). It takes advantage of the high cross-correlation between the sub-images generated by the microlens array and it takes advantage of the viewpoints image representation of unidirectional image to decrease the number of bits required to code the motion vectors. The algorithm has been simulated on several generated integral 3D videos.