A new image denoising algorithm based on wavelet cone of influence(COI) analyzing is proposed,which can effectively remore the impulse noise and preserve the image edges by undecimated discrete wavelet transform(UDWT).Furthermore,combined with the traditiona wavelet thresholding denoising method,the proposed algorithm can well decrease more widely type of the noise such as Gaussian noise,poisson noise and even mixed noise.Experimen results illustrate the advantages of this approach.