A Shock Filter for Image Deblurring and Enhancement with Oriented Hourglass Tensor

Abstract : This paper presents a new shock filter for image restoration and enhancement by incorporating diffusion information coming for an hourglass filter. Shock filter represents an important family in the field of non-linear Partial Differential Equations (PDEs) models for image restoration and enhancement. Commonly, the smoothed second order derivative of the image assists this type of method in the deblurring mechanism via of non-linear PDEs models. The advantage of the proposed approach is to insert information issued of a non-linear tensor, i.e., the hourglass filter, in a shock filter process. Technically, the non-linear spatial averaging is more precise to enhance images and sharpen contours efficiently simultaneously. The method is compared to 5 other PDE techniques, presenting its interest, robustness and reliability, as, for example, without creating a grainy effect around deblurred edges by visualizing isophote lines.