The multidimensional diffusion model for computer animation of diffuse ink painting opens up a new dimension in painting. In diffuse painting final image is a result of ink diffusion in absorbent paper. A straight-forward diffusion model however is unable to provide very specific features of real diffuse painting. In particular, it can not explain the appearance of certain singularities in intensity of color in the image which are very important features of diffuse ink painting. In our previous work, a model based on physical analysis of paper structure was proposed. Although this model provided an adequate simulation of many diffuse ink painting properties, it was still insufficient to explain the singularities of intensity distribution precisely. Now we solve this problem. A multidimensional diffusion model which we propose proves to provide exactly the same intensity distribution as in real images. The method was applied to animate ink diffusion 'Nijimi' of traditional Japanese ink painting 'Sumie'.