A New Method of Blurring and Deblurring Digital Images Using the Markov Basis

Abstract

In this paper, we introduce a new method of blurring and deblurring digital images using new filters generating from Average filter using HB Markov basis. We call these filters HB-filters. We used these filters to cause a motion blur and then deblurring affected images. Also, we study the enhanced images using HB-filters as compared to other methods like Average, Gaussian, and Motion. Results and analysis show that the HB-filters are better in peak signal to noise ratio (PSNR) and RMSE.

Keywords

• Markov basis.
• Kronecker Product
• motion blur anddeblur
• Weiner deconvolution
• digital images