27 September 2011 Refractive index map reconstruction in optical deflectometry using total-variation regularization
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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.
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Laurent Jacques, Laurent Jacques, Adriana González, Adriana González, Emmanuel Foumouo, Emmanuel Foumouo, Philippe Antoine, Philippe Antoine, "Refractive index map reconstruction in optical deflectometry using total-variation regularization", Proc. SPIE 8138, Wavelets and Sparsity XIV, 813807 (27 September 2011); doi: 10.1117/12.892729; https://doi.org/10.1117/12.892729
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