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Regularization of the deflectometry problem using shading data

: Balzer, J.; Werling, S.; Beyerer, J.

Huang, P. ; Society of Photo-Optical Instrumentation Engineers -SPIE-, Bellingham/Wash.:
Two- and Three-Dimensional Methods for Inspection and Metrology IV : Boston, Oct. 12, 2006
Bellingham/Wash.: SPIE, 2006 (SPIE Proceedings Series 6382)
ISBN: 0-8194-6480-5
Art. 63820B
Conference "Two- and Three-Dimensional Methods for Inspection and Metrology" <4, 2006, Boston/Mass.>
Fraunhofer IITB ( IOSB) ()

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.