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This letter describes an efficient three-dimensional (3D) image reconstruction algorithm for microwave tomography. Using the thin-wire approximation with resistive voltage sources (RVS), a realistic FDTD model is created for the transmitting and receiving antennas. To verify the algorithm, image reconstruction is made from experimental data using a cylindrical test object made of sunflower oil. In the results, successful image reconstruction has been shown, indicating that the FDTD model is applicable. For comparison, a reconstruction with a two-dimensional (2D) version of the algorithm was made. A significant increase in accuracy of the reconstructed object was seen for the 3D version.