Abstract:

The theory of multidimensional vector orthogonal transformation matrix was extended. A new 4-D vector matrix Discrete Cosine Transform (DCT) operator was presented based on the theory. In addition, the orthogonality of the operator and energy concentration were verified. Also a technique was proposed to generate the quantization cube suitable to Multidimensional Vector Matrix DCT (MD-VMDCT) transform codec. A sampling model for 3D Vector Matrix DCT (3D-VMDCT) codec was also proposed, which can eliminate spatial redundancy and color redundancy among the pixels in the color image by use of the supper concentration of the MD-VMDCT. Then quantization and Huffman coding were carried out to eliminate statistical redundancy. Experimental results show that the algorithm is correct and effective, and under the same conditions it outperforms the Joint Photographic Experts Group (JPEG) method.

Key words: information processing, image coding, orthogonal transformation, multi-dimensional vector matrix, quantization