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种基于偏微分方程约束的闪光照相图像重建算法
引用本文:钱伟新, 王婉丽, 刘瑞根. 种基于偏微分方程约束的闪光照相图像重建算法[J]. 强激光与粒子束, 2008, 20(02).
作者姓名:钱伟新  王婉丽  刘瑞根
作者单位:1.中国工程物理研究院 流体物理研究所, 四川 绵阳 621 900
摘    要: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。

关 键 词:闪光照相   信噪比   图像重建   偏微分方程

Image reconstruction algorithm based on constrained processing by partial differental equation for flash radiography
qian wei-xin, wang wan-li, liu rui-gen. Image reconstruction algorithm based on constrained processing by partial differental equation for flash radiography[J]. High Power Laser and Particle Beams, 2008, 20.
Authors:qian wei-xin  wang wan-li  liu rui-gen
Affiliation:1. Institute of Fluid Physics,CAEP,P.O.Box 919-109,Mianyang 621900,China
Abstract: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.
Keywords:flash radiography  signal to noise ratio  image reconstruction  partial differential equation
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