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This paper proposes a new layered image coding algorithm combined the advantages of wavelet and ridgelet transformations. First of all, the origin image I smoothed by an improved anisotropic diffusion method, obtained an smooth image R1, then subtracted R1 from I and obtained an texture image R2. R1 encoded by the SPIHT algorithm based on DWT, and R2 encoded by a amending SPIHT based on ridgelet....