We develop a variational method to recover both the shape and the reflectance of a scene surface(s) using multiple images, assuming that illumination conditions are fixed and known in advance. Scene and image formation are modeled with known information about cameras and illuminants, and scene recovery is achieved by minimizing a global cost functional with respect to both shape and reflectance. Unlike most previous methods recovering only the shape of Lambertian surfaces, the proposed method considers general dichromatic surfaces. We verify the method using synthetic data sets containing specular reflection.