A Two-Level Method for Image Deblurring Problem

Image deblurring model with computationally expensive regularization is used to improve the quality of the deblurred images. These models are very efficient in preserving edges and removing staircase effect and other nice properties. However, the associated Euler-Lagrange equations involve high order derivatives or dense matrices which complicate developing an efficient numerical algorithm. In this research work, we present an efficient and robust Two-Level method to overcome these difficulties. The Two-Level method started by reducing the problem to one small, nonlinear system on image with small number of pixels (Level-I) and one less expensive linear system with large number of pixels (Level-II). So by Two-Level method our results will be effective and less expensive.