In this paper

a new mathematics model

3D matrix

is researched.Its application in color digital image compression coding

3-D wide discrete cosine transform (WDCT) compression coding

has been proposed.We also gave its calculate method

transform

inverse transform

performance and proof them.As we known

it is identity physics model unify reflect into that of colour 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 colour

the vision similitude are very strong.Human vision characteristic express that the relation of the each component is unlinely.It is clear that if we encode Y Cr Cb data separately

among each component potential relativity can be incapable of plenitude utilize colour image So we regard R

G

and B as a whole and make it into the single mathematics model

3D matrix

and transform it with3D WDCT.Different from other transform coding method

in which each component was compressed and encoded separately

it combined the intra and inter component compressions encoding together.Simulation results demonstrate good reconstruction image quality and high compression ratio of method.It use adult discrete cosine transform technology

and have good compatible for the moment universal JPEG and MPEG standard.