Traditional image restoration is generally considered that point spread function(PSF) is space-invariant.However, the actual optical system suffering from various optical aberrations can not be strictly linear space invariant.Non-blind deconvolution(NBD) algorithm of image restoration based on spatially-varying PSF(SVPSF) gradually embodies its superiority.NBD image restoration with SVPSF accurately estimates the spatially-varying PSF of the image at first, and then restores the image through NBD algorithm, which is conducive to the recovery of high quality images.From the perspective of algorithm, we review non-blind image restoration method proposed in recent years based on spatially-varying PSF, as well as compare merits and drawbacks among NBD algorithm based on PSF estimation using sharp edge prediction, NBD algorithm based on blurred/noisy image pairs, and so on.These algorithms reflect pros and cons respectively in PSF estimation accuracy, inhibitory effect of ringing artifacts, and the scope of application.The study of the NBD image restoration method based on SVPSF is beneficial to the development of image restoration technology to a higher level, which facilitates the optical systems to be smaller, so that it can play an important role in many scientific fields.