Regularization of the deflectometry problem using shading data

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.