Multiple scattering and backward scattering on rough surface is caused by surface roughness and mirror effect， and this affects the precision of shape from shading arithmetic accordingly. This paper reconstructs the reflection map equation by using a bidirectional reflectance distribution function and the Hapke model. After the equation discretization， we calculated tilt and slant of the lighting and the surface， then get the height gradient of the lighting and the surface， recover the height data with a total differentiation method. The comparison of reconstruction of real cutting surface and the measured stylus profile result shows this algorithm is accurate and effective， and it inspires new thinking ways for the shape from shading of metal cutting surface for cutting surfaces.