Regularization of the deflectometry problem using shading data

Conference paper


Jonathan Balzer
Stefan Werling
Jürgen Beyerer


Huang, P. (Hrsg): Two- and Three-Dimensional Methods for Inspection and Metrology IV, Optics East, Proceedings of SPIE Vol. 6382, 2006.


Optics East, Boston, October 1 - 4, 2006

Reconstructing a specular surface from observation of structured illumination is mathematically a severely ill-posed 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.