Abstract: In order to reconstruct high-quality image from projection data at limited angle,we develop an improved fast iterative reconstruction algorithm. The basic idea of this algorithm is that used the perspective of data to complete unknown perspective projection data is applied,and the image can be made by Algebraic Reconstruction Technique(ART). In the end,we have performed numerical experiments using computer simulation data. Experimental results demonstrate that the proposed algorithm not only improves the quality of image reconstructed,but also significantly increases the convergence speed of iteration image.