The invention plan sullpies a method which characteristic lies in a short picturere construction time, the small storage capacity and the high picture quality picture reconstruction based on the iteration reconstruction technology. This picture reconstruction method includes the following steps: structure many concentric rings of the system model, each concentric ring is divided into many fan-shaped structure a view correlation system matrix through use same composition of all system model fan-shaped, the described some fan-shape are located with in a view related corresponding projection line With a view correlation system matrix through the transformation produces another view correlation system matrix Reconstruct picture through the use system matrix and the projection data by way of the iteration reconstructs and transmit the picture into the picture which is composed by the rectangular element.