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New technique of magnetoacoustic tomography with magnetic induction (MAT-MI) is introduced. Through improving the image reconstruction algorithm, the imaging object need not be placed in the uniform magnetic field area, and this make it possible for we to use only one permanent-magnet and one exciting coil to achieve image reconstruction. Therefore, the new technique can simplify the structure of the image system and then reduce the development cost availability. This is significant for the application of MAT-MI. To test the validity of the technique, test model was analyzed, and the availability of the method was demonstrated.