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本文提出了一种新的电阻抗成像 （ＥＩＴ） 图像重建算法—基于修正Ｂｋ 的拟Ｎｅｗ ｔｏｎ类算法，并通过数值试验验证了该算法的有效性。新算法基于目标函数梯度向量的快速算法，利用基于修正Ｂｋ 的拟Ｎｅｗ ｔｏｎ 法来求解ＥＩＴ逆问题。与著名的Ｎｅｗ ｔｏｎ－Ｒａｐｈｓｏｎ 算法相比， 该算法的突出优点是计算量小， 数值稳定性好， 具有整体收敛性。
In this paper, we propose a new image reconstruction algorithm of electrical impedance tomography (EIT) - Quasi-Newton class algorithm based on modified Bk, and verify the effectiveness of the algorithm by numerical experiments. The new algorithm is based on the fast algorithm of gradient vector of objective function, and uses the quasi-Newton method based on the modified Bk to solve the EIT inverse problem. Compared with the famous New ton-Raphson algorithm, this algorithm has the prominent advantages of small computation, good numerical stability and overall convergence.