Abstract: The original version of this article unfortunately contained two mistakes.

In the second paragraph of Sect. 4.2 "Refinement with skin color model", the second sentence after Eq. (9) should read:

Here R_k denoting the reliable skin tone is just computed as follows: Sort the pixels in non-noise areas of one side (left or right side) by their skin color likelihoods in descending order then we can get R_k by striking the average reflectance value of the first K pixels.

The end of the last paragraph of Sect. 5 "Experiment", it should read:

As a comparison, we also show the result of directly transferring the shading of the reference images to the input images without decomposition [10]. It is obvious that our results are much more realistic and natural.