Research on SDCT Operation Based on Transform Basic Matrix


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With the development of information processing technology, DCT has been used more and more widely. But multidimensional DCT hasn’t unified matrix expressions, and operates using 1-D DCT to each dimension successively, which cannot embody the overall space character of multidimensional transform well. So, a new SDCT method was proposed in the paper. First, several matrix operation methods were defined. Then, the operation principle of 1-D DCT, 2-D DCT and 3-D SDCT was described in detail. The theoretical analysis shows that the SDCT makes DCT unified and succinct to express, easy to comprehend and convenient to operate.



Edited by:

Helen Zhang and David Jin






W. B. Sun et al., "Research on SDCT Operation Based on Transform Basic Matrix", Applied Mechanics and Materials, Vols. 63-64, pp. 987-990, 2011

Online since:

June 2011




[1] Chen W. A., Harrison C., Fralick S. C. A Fast Computational Algorithm for the Discrete Cosine Transform. IEEE Transactions on Communications, 1977, 25(9): 1004-1011.

DOI: 10.1109/tcom.1977.1093941

[2] Westwater Raymond, Borko Furht. The XYZ Algorithm for Real-Time Compression of Full-Motion Video. Real-Time Imaging, 1996, 2: 19-34.

DOI: 10.1006/rtim.1996.0003

[3] Sang Aijun, Chen Hexin. 3D-Matrix WDCT Compression Coding for Color image. Acta Electronica Sinica. 2002. 30(4): 594-597.

[4] A. Aqqoun, A 3D DCT Compression Algorithm For Omnidirectional Integral Images, Proceedings of ICASSP, 2006. 2: 517-520.

[5] J. Yang, J. P. Hu, and P. Liu, Video watermarking by 3D DCT, Proceedings of the 7th International Conference on Signal Processing, 2004. 1: 861-864.

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