【作者】 曹琳琳； 薄亚明；

【机构】 江南大学通信与控制工程学院；

【摘要】 在分析电容层析成像基本原理和图像重建算法的基础上,提出一种结合正则化优化修正的共轭梯度算法。首先利用 Tikhonov正则化法求解不适定逆问题;又因敏感场矩阵的降质特性,对初始图像进行优化修正;利用共轭梯度算法,求得重建图像。例算结果表明,在成像速度方面,该法比Landweber迭代法收敛更快;而在图像重建质量方面,也比其他方法具有一定的优势。更多还原

【Abstract】 Based on the analysis of basic principle of electrical capacitance tomography and the image reconstruction algorithm, a conjugate gradient algorithm with optimized regularization is proposed. First, the Tikhonov regularization method is employed to solve the ill-posed inverse problem. Second, the initial image is optimized due to the degraded sensitivity matrix. Then the established normal equation can be solved with the conjugate gradient method. Numerical experiments show that the proposed method is more rapid than Landweber iterative method in convergence, and the reconstructed images with this algorithm are better than those with other methods in quality.更多还原