Abstract: Based on weighted Lapalcian kernel with diffusion tensors,a generalized Poisson solver for colorization is proposed in this paper.The colorization process is accomplished by propagating the colors automatically according to the weighted gradient fields with luminance diffusion tensors.Firstly,a user needs to provide the gray image with a few color scribbles manually.Secondly,the diffusion tensor field of the gray image at each pixel is calculated and applied to construct weighted gradient field,thus to create a divergencebased colorization equation.Finally,a fully colorized image is obtained by solving this equation. Experiments show that the proposed method can generate good colorization results and outperform significantly the original Poisson solver.