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Proceedings Paper

Refractive index map reconstruction in optical deflectometry using total-variation regularization
Author(s): Laurent Jacques; Adriana González; Emmanuel Foumouo; Philippe Antoine
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Paper Abstract

We study the resolution of an inverse problem arising in Optical Deflectometry: the reconstruction of refractive index map of transparent materials from light deflection measurements under multiple orientations. This problem is solved from a standard convex optimization procedure aiming at minimizing the Total Variation of the map (as a prior information) while matching the observed data (fidelity constraint). In this process, the forward measurement operator, mapping any index map to its deflectometric observation, is simplified in the Fourier domain according to a modified Projection-Slice theorem.

Paper Details

Date Published: 27 September 2011
PDF: 10 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 813807 (27 September 2011); doi: 10.1117/12.892729
Show Author Affiliations
Laurent Jacques, Univ. Catholique de Louvain (Belgium)
Adriana González, Univ. Catholique de Louvain (Belgium)
Emmanuel Foumouo, Univ. Catholique de Louvain (Belgium)
Philippe Antoine, Univ. Catholique de Louvain (Belgium)

Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)

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