In order to solve the problem of blurred and lost target edges in the recovery process of fog scene images, we propose a single image dehaze method based on A-Trous wavelet, which is combined with the dark channel prior theory, guided filter, and edge preserving A-Trous wavelet filtering method. The dehaze algorithm of guiding filtering on dark channel prior is reproduced. Then, we introduce edge preserving A-Trous wavelet filter into the dehaze algorithm, and adopt the three level wavelet filtered residuals to compensate for the guide image filtering algorithm with the dark channel prior. Experimental results show that, compared with the guided image filtering haze removal algorithm based on dark channel prior, the rate of new visible edges is increased by 69.5% at least, the normalized gradient mean of the visible edge is increased by 30%, and the percentage of the saturated black or white pixels is reduced by a half at least, when visible edge contrast is used as an objective criterion. The proposed method can retain the edge and texture details of image while removing haze, and the restored image color is closer to the real life. The effect of dehaze is improved, and the edge of the texture is more delicate.