Abstract: We introduce fractal corrector in the iterative algorithm for image reconstruction based on calculating points discrete model.The projection line is surrounded by a self-similar string formed by the Hilbert curve units.The Hilbert curve unit’s attenuation weight to projection has clear geometrical meaning as well as physical meaning.The line integral of projection is approximated accurately by compacting the calculating points.The Hilbert curve unit is an effective corrector in improving the algorithm since the uniform templates are formed by the self-similarity of fractal structure.In addition,the symmetry of the model could be used to accelerate the computing speed as well as to improve the imaging precision.