Optical EngineeringReconstruction of irregularly sampled interferograms in Fourier transform spectrometry with unknown sampling locations
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We propose an algorithm for reconstructing nonuniformly sampled interferograms when sampling locations are unknown. An optimization problem with multiple objective and constraint functions is designed based on the spatial and spectral characteristics of the data measurement. This problem is solved using an evolutionary approach, in which potential solutions are competing to be the fittest individual in a simulated natural environment.