Color Image Coding Based on Three-dimensional DCT
基于三维离散余弦变换的彩色图象压缩编码

Discrete Cosine Transform(DCT) can decrease the relativity among the images, but we didn't know the muldimension DCT accurately. In this paper, three dimensional Discrete Cosine Transform(DCT) has been researched, its calculate method, transform and inverse transform were given, and any sizes of three dimensional function f(x,y,z) DCT is proposed, that must be cube before. As we known, it is identity physics model unify reflection into that of color image's three frame, possess same texture, same fringe and same gray change, the information of the each frame almost could reflect the source image except color, the vision similitude are very strong. In other methods, R, G, B data were transformed into Y, Cr, and Cb to decrease the color information. It is clear that if we encode Y Cr Cb data separately, among each component potential relativity can't be decreased enough. So we regard R, G, and B as a whole, transform them in the same time with three dimensional DCT. It can decrease relativity between frames than before. Simulation results demonstrate good reconstruction image quality and high compression ratio. It has good compatible with JPEG and MPEG standard.