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Three-dimensional vector matrix discrete cosine transform coding (3DVMDCT) deals with each component of color image in a unified model, fully eliminates the correlation between them and gets an obvious advantage. But its block-size of image segmentation is fixed and does not fully take into account that there are different statistical properties in different regions. In this paper, we take gradient...
Variable size matrix segmentation and variable size transform are used in the colour image compression methods based on three dimensional matrix widely discrete cosine transform (3DMWDCT). However the coefficients have different statistical properties since different areas of an image and difference size blocks have difference energy centralization. 3D balance quantization based human visual system...
Based on the multi-dimensional matrix theory, this paper introduced four-dimensional (4D) model, and deduce the Walsh orthogonal transform in 4D nth-order matrix space. This method is used for color image coding. We obtained very good results. 4D nth-order matrix model can express 4D data in a unified mathematical model for processing. On one hand, it considers the high efficiency of classical matrix...
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