In　this　paper,　we　analyze　a　novel　algorithm　for　2-D　ARMA　model　parameter　estimation　in　the　presence　of　noise　and　then　develop　a　fast　and　efficient　blind　image　restoration　algorithm.　We　show　that　the　novel　algorithm　can　minimize　a　quadratic　convex　optimization　problem　and　has　a　lower　computational　complexity　than　the　conventional　algorithms.　As　a　result,　the　novel　algorithm　involves　no　convergence　and　local　minimum　issue.　Moreover,　the　proposed　blind　image　restoration　algorithm　can　overcome　the　local　minimization　problem.　Computed　results　confirm　that　the　novel　algorithm　can　more　quickly　obtain　more　accurate　estimates　than　the　conventional　algorithms　in　the　presence　of　noise.　©　2013　Elsevier　Ltd.　All　rights　reserved.