Abstract:A parametric blind deconvolution(PBD) algorithm was presented based on a new model of the 3-D Gaussian point spread function(PSF) to restore the microscopic optical slices.The PBD algorithm needed to simultaneously estimate the specimen function and the parameters of the PSF,while the PSF model was complicated,needed a large number of computation and converged slowly.Based on the Gaussian PSF model presented,this algorithm only needed to estimate two parameters,so the amount of the computation was greatly reduced.The experiments proved that this algorithm can preferably restore the optical slices and estimate the parameters of the PSF.