A compound anisotropic diffusion filter algorithm is presented to apply edge sensitive instantaneuos coefficient of variation (ICOV) operator of the speckle reducing anisotropic diffusion(SRAD) model into the NCD model. The correlation coefficient matrix of ICOV operator which can measure the correlation of the image is proposed. The value of the coefficient matrix gets the maximum value in the vicinity of the edge. According to the correlation coefficient of the ICOV operator, This paper modifies the intensity of the diffusion and obtains effective nonlinear denoising. Compared with other algorithms, the experiment results show that the proposed algorithm has better effect in smoothing and edge preservation.