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In this paper, we propose a new magnetic induction tomography (MIT) system which uses, in addition to the set of magnetic coils, some infrared launch-detector fibers surrounding the cross-sectional image plane. The system is used to reconstruct the interior conductivity distribution of the body and to enhance the accuracy of images obtained by a single MIT. A constrained Landweber algorithm is proposed for image reconstruction. It uses both the boundary data obtained from the coils, and the foreground-background fractions at some neighboring elements of the mesh obtained using the infrared fibers. The effectiveness of the proposed method is demonstrated by numerical data generated for some circular phantoms. Comparisons, in terms of several metrics, between the reconstructed images obtained using the new method and a conventional MIT based on Landweber reconstruction clearly show the outperformance of the method.