Image Coding and Compression with Sparse 3D Discrete Cosine Transform

Authors:
Hamid Palangi;Aboozar Ghafari;Massoud Babaie-Zadeh;Christian Jutten
Affiliations:
Electrical Engineering Department and Advanced Communications Research Institute (ACRI), Sharif University of Technology, Tehran, Iran;Electrical Engineering Department and Advanced Communications Research Institute (ACRI), Sharif University of Technology, Tehran, Iran;Electrical Engineering Department and Advanced Communications Research Institute (ACRI), Sharif University of Technology, Tehran, Iran;GIPSA-lab, Grenoble, France
Venue:
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Year:
2009

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Abstract

In this paper, an algorithm for image coding based on a sparse 3-dimensional Discrete Cosine Transform (3D DCT) is studied. The algorithm is essentially a method for achieving a sufficiently sparse representation using 3D DCT. The experimental results obtained by the algorithm are compared to the 2D DCT (used in JPEG standard) and wavelet db9/7 (used in JPEG2000 standard). It is experimentally shown that the algorithm, that only uses DCT but in 3 dimensions, outperforms the DCT used in JPEG standard and achieves comparable results (but still less than) the wavelet transform.