For the flash radiographic image with low signal-to-noise ratio(SNR), an adaptive image reconstruction algorithm was proposed. Based on the conventional algebraic reconstruction technique(ART) algorithm, two weight matrixes associated with the image were imported to the iterative reconstruction. One was used to control the high frequency of the reconstructed image so as to protect its edge; the other was used to control the low frequency so as to improve the SNR of the reconstructed image. Both matrixes were refreshed when the reconstructed image was iterated. Numerical simulation results show that in comparison with the conventional ART algorithm, the algorithm has stronger abilities of noise removal and edge preservation.