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Underwater images are easily degraded by various characteristics of underwater environment. We propose an underwater image enhancement algorithm which improves the low contrast and alleviates the color distortion. We first estimate the gradient of original scene image by scaling the gradient of an input underwater image with a corresponding transmission map. Then we reconstruct an original scene image from the compensated gradient image using a constraint. Experimental results demonstrate that the proposed algorithm improves the contrast and alleviates the color distortion faithfully, and outperforms the state-of-the-art underwater image enhancement method.