Reconstructing a specular surface from observation of structured illumination is mathematically a severely illposed
problem. This contribution discusses the close relationship of Shape-from-Shading and the deflectometry
problem. Consequently, a novel regularization approach for partially diffuse objects is proposed in this paper.
By considering different characteristic curves on the unknown surface, we estimate a set of points that the
reconstruction must embed. A solution satisfying the reflection conditions is afterwards fitted to the obtained
points with the help of a level set iteration.