Image reconstruction algorithm based on constrained processing by partial differental equation for flash radiography

According to the characteristics of flash radiographic image with low signal-to-noise ratio, a new image reconstruction algorithm is proposed for radiography. The new algorithm uses a nonlinear partial differential equation(PDE ) to constrain the noise of the reconstructed image. It can avoid amplifying the noise and preserve image edges at the same time. Numerical experimental results show that in comparison with the Landweber algorithm and preconditioned constrained conjugate(PCCG) algorithm, the new algorithm has stronger ability of noise removal and edge preserving.