Image Compression with 2D Discrete Cosine Transform and Sparse 3D Discrete Cosine Transform

In this paper, an algorithm for image coding based on a sparse 3-dimensional Discrete Cosine Transform (3D DCT) is studied. This is essentially a method for achieving a sufficiently sparse representation using 3D DCT. The simulation results obtained by the algorithm are compared to the 2D DCT. From simulation it is shown that the algorithm, that uses DCT but in 3 dimensions, outperforms the 2D DCT used in JPEG standard and achieves comparable results but has a limitation of line pattern.