Abstract: In this paper, it is puts forword a fan-beam local image reconstruction algorithm.Firstly,on the projection data interpolation. Secondly, seek to Scale coefficients and wavelet coefficient of the of the reconstruction image, then filter the projection of interpolation.Lastly,the wavelet reconstruction get interested in area of local image.This algorithm not only reduces the radiation dose detection object, and shorten the reconstruction time. Finally also compares the different wavelet reconstruction effect, Cofflet2 wavelet can obtain higher quality of reconstruction image.