For limited projection data, EMT images reconstructed by traditional algorithms have serious artifacts and obvious noise. Based on this situation, this paper deduces and establishes the EMT image reconstruction model. The EMT image reconstruction problem under limited angle is analyzed, the L_1 regularization solution strategy of the problem is given, and the split bregamn algorithm of the reconstruction model is proposed. Simulation experiments show that for the data with limited angle, split bregamn algorithm can be compared with the traditional Tikhonov algorithm and Landweber algorithm. Split bregamn algorithm has better subjective reconstruction effect, the average image error is reduced by 30.4%, and the quality of image reconstruction is effectively improved.