To improve the anti-interference ability and robustness of the reconstruction algorithm, this paper proposes a global method based on the gradient descent and Newton methods and then proposes two types of variable step-size update strategies based on optimization theory, namely, the dichotomy and Newton methods, so that the iterative process can independently pick the best update step-size. To fully exploit the respective benefits of the sequential and global methods, the termination judgment criterion is designed to combine the two. The proposed algorithm's anti-interference ability is demonstrated through simulation and experimental data to be superior to each sequential method. Especially when the noise of image devices is high, it is uniquely proposed to use dark field image information to calculate each gradient value, to minimize the impact of noise. Furthermore, the above methods only require additional 3-5 rounds of an iterative process to achieve satisfactory results, and the time cost is only a few seconds.