One robust method to reconstruct shape is photometric stereo (PMS), which reconstructs surface orientation using the Lambertian reflection properties of the surface material. To increase the applicability to non-Lambertian surfaces, we extend this method using a twostage process without introducing additional light sources or assuming a known micro facet distribution. In the first step, the glossy reflection is discarded, taking the dichromatic reflection model as a basis. The introduced spherical chromaticity space has been found as a good tool for deriving the matte vector. The method is applied to multi-colored objects. The simulations use spectral distributions of real data. In the second step, we apply a conventional PMS to the derived matte images.