A fuzzy bidirectional flow is presented, which performs a fuzzy backward (inverse) diffusion along the gradient direction to the isophote lines (edges), while does a certain forward diffusion along the tangent direction on the contrary. Controlled by the image gradient magnitude, the fuzzy membership function guarantees image textures with a natural transition between two different areas. To preserve image features, the nonlinear diffusion coefficients are locally adjusted according to the directional derivatives of the image.