Image restoration

Neighborhood Nn(x, y) of the point (x, y) is divided into two parts \documentclass{article}\usepackage{amsmath}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{amsfonts}\pagestyle{empty}\begin{document}$N_{n}^{(1)}(x, y)$\end{document} and \documentclass{article}\usepackage{amsmath}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{amsfonts}\pagestyle{empty}\begin{document}$N_{n}^{(2)}(x, y)$\end{document} by a line perpendicular to \documentclass{article}\usepackage{amsmath}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{amsfonts}\pagestyle{empty}\begin{document}$\widehat{G}(x, y)$\end{document}; (b) a noisy image; (c) denoised image.

(a) A blurred and noisy image; (b) deblurred image using the estimated psf obtained from a small region surrounded the letter ‘I’.