We propose an image restoration method for correcting the fixed optical aberration of a simple optical system using the dual-channel phase diversity and the calibrated single-channel restoration factor to speed up the image restoration. The point-spread function, which is estimated in advance with the dual-channel phase diversity, serves as the known blur kernel of the simple optical system. In the frequency domain, the single-channel restoration factor of the simple optical system is constructed to restore the blurred image quickly. Our approach, needing only twice the Fourier transforms without iterative optimization, can directly and rapidly restore the blurred image of the simple optical system. Experiments are performed to verify the fast image restoration ability of the single-channel fast image restoration. The experimental results indicate that the single-channel fast image restoration can indeed obtain comparable image quality as the dual-channel image restoration, but significantly reduces the time of image restoration. (C) 2022 Optica Publishing Group
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