一种基于约束共轭梯度的闪光照相图像重建算法
Image-reconstruction algorithm based on constrained conjugate gradient for radiography
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摘要: 针对闪光照相系统成像信噪比低的特点，提出了正则化预优约束共轭梯度算法（RPCCG）。RPCCG算法在闪光照相重建方程中引入Tikhonov正则化准则，利用预优约束共轭梯度法迭代求图像重建的最优解。数值试验表明，采用最小二乘+平滑准则的RPCCG算法是一种具有较高的抗噪能力的有效闪光照相图像重建算法，具有良好的收敛性和稳定性以及较高的重建精度。Abstract: Based on the constrained conjugate gradient algorithm, a regularization preconditioned constrained conjugate gradient algorithm (RPCCG) was proposed for image-reconstruction for radiography. The RPCCG used the Tikhonov regularization criterions to get the reconstruction equation. The equation was solved by using the preconditioned conjugate gradient algorithm, constrained with prior knowledge. Numerical experiment results show that in comparison with the FBP algorithm, RPCCG based on least square + smoothness criterion is more efficient in reconstruction quality and noise removal.
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