Optical tomography based on infrared laser light absorption is a promising way to measure spatially- and temporally-resolved fuel concentrations within combustion devices, but limited optical access often restricts the number of laser beams and their arrangement. This paper demonstrates how Tikhonov regularization based on a Laplacian smoothing matrix can solve the resulting limited data tomography problem, and provides superior reconstructions for Gaussian phantoms compared to modified Landweber reconstruction.

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