计量学报2013，Vol.34Issue(1)：27-30,4.DOI:10.3969/j.issn.1000-1158.2013.01.06
改进的共轭梯度算法的图像重建算法
An Improved Conjugate Gradient Algorithm for Image Reconstruction Algorithm
摘要
Abstract
Considering the image reconstruction of electrical capacitance tomography is an ill-conditioned problem, a new regularization method is proposed based on the size of the regularized solution and the quality to fitting the given data in Tikhonov regularization method. This method introduces a mathematical transformation, which overcomes the shortcomings of the disruption of conventional regularization. Meanwhile, the ECT physical model is normalized, and the conjugate gradient algorithm is improved. The simulation results show that the improved algorithm is better than LBP algorithm, conventional Tikhonov regularization algorithm as well as conjugate gradient algorithm in image quality, which is validated by the correlation coefficient.关键词
计量学/电容层析成像/敏感阵列电极/图像重建/共轭梯度算法/相关系数Key words
Metrology/Electrical capacitance tomography/Sensitive electrode array/Image reconstruction/Conjugate gradient algorithm/Correlation coefficient分类
通用工业技术引用本文复制引用
马敏,张彩霞,姬晶晶,王化祥..改进的共轭梯度算法的图像重建算法[J].计量学报,2013,34(1):27-30,4.基金项目
国家自然科学基金青年基金(61102096) （61102096）
天津市自然科学基金(11JCYBJC06900) （11JCYBJC06900）
中国民航大学中央高校基金(ZXH2010C005) （ZXH2010C005）
