An Optimal Higher Order Likelihood Distribution Based Approach for Strong Edge and High Contrast Restoration

Abstract

The existing studies are generally focused on the pixel intensity or noise variance, and not much attention is given to describe the actual distribution. Some modifications have been proposed over the years in conventional parametric estimation techniques such as maximum likelihood estimation (MLE) and Bayesian estimation (BE). These methods have better properties to provide visually pleasing results for any imagery. In this paper, we use the likelihood estimate from the perspective that as the distribution order of likelihood increases, the overall effect of parameters under consideration improves within the defined confidence interval. In this paper, we use two parameters of interest, i.e., contrast and edge information. The proposed idea uses prior information w.r.t. particular parameter of interest, which is derived from likelihood estimate. The prior estimation has also been used to compute the reliability of the point estimations under a confidence interval. The proposed idea has desirable properties such that its optimization improves the overall image reconstruction.