Image Deconvolution in the Moment Domain

We propose a novel algorithm for image deconvolution from the geometric moments(GMs) of a degraded image by a circular or elliptical Gaussian point-spread function(PSF). In the proposed scheme, to show the invertibility of the moment equation in a closed form, we establish a relationship between the moments of the degraded image and the moments of the original image and the Gaussian PSF. The proposed inverted formula paves the way to reconstruct the original image using the Stirling numbers of the first kind. We validate the theoretical analysis of the proposed scheme and confirm its feasibility through the comparative studies.