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Wide-angle video frames typically contain more information, but they also exhibit distortion that degrades the visual quality, especially at the edges. To eliminate this distortion from videos, we propose a self-supervised iterative optimization method in this paper. Specifically, we construct a motion parameter estimation model utilizing two consecutive distorted frames, where motion parameters comprise affine transform and distortion parameters. We apply the Gauss–Newton algorithm to minimize the sum-of-squares error between frames and update parameters. Treating inter-frame motion as undistort-affine-distort transformations, frame alignment is achieved by continuously adjusting transform parameters. Ultimately, frames are corrected using the converged parameters. We generated a synthetic dataset with various distortion parameters for evaluation. Experiments demonstrate superior performance versus state-of-the-art methods on synthetic and real wide-angle videos. Our algorithm also achieves higher parameter estimation accuracy without sacrificing efficiency. • proposes a algorithm for video distortion correction based on iterative optimization. • the distort transform and undistort transform are derived separately and the range of parameters and the experimental error are given. • Based on this, we transform the distortion correction into a parameter estimation problem in image alignment. • optimize the parameter estimation problem using Gauss-Newton algorithm. • Experimental results show that the proposed algorithms outperform some state-of-art algorithms in accuracy, without reducing robustness and efficiency. [ABSTRACT FROM AUTHOR]