一种基于偏微分方程约束的闪光照相图像重建算法

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

针对闪光照相图像信噪比低的特点,提出了一种基于偏微分方程基于非线性PDE的约束的图像重建算法,该算法在重建迭代过程中引入了基于非线性PDE的平滑约束来抑制图像噪声,同时保护图像边缘。数值试验结果表明:相比于Landweber和预优约束共轭梯度(PCCG)重建算法,新算法具有更强的抗噪能力和边缘保护能力,是一种更加有效的闪光照相图像重建算法。

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 coniugate（PCCG） algorithm, the new algorithm has stronger ability of noise removal and edge preserving.