0429812 20240103204425.220140722235959.9 10.15579/gcsr.vol1.ch5 15 s. P 288 cav_un_epca*0429811978-618-81418-1-0111-125XanthiScience Gate Publishing2014PapakostasG. A. Digital image Deconvolution Moments cav_un_auth*0307652 Honarvar Shakibaei Asli B. MY cav_un_auth*0101087 Flusser Jan Zpracování obrazové informace Department of Image Processing ZOI ZOI UTIA-B Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2014/ZOI/flusser-0429812.pdf GA13-29225S GA ČR cav_un_auth*0292734 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. 2015 JD 2 http://hdl.handle.net/11104/0234854 S 2014 cav_un_epca*0429811 Moments and Moment Invariants: Theory and Applications 978-618-81418-1-0 111 125 Xanthi Science Gate Publishing 2014 Gate to Computer Science and Research Volume 1 Papakostas G. A. 340