Constructing the covariogram of a convex body for efficient infrared images restoration

Abstract

Infrared images often suffer from the problems of blurry and random noise. To address those issues, we firstly proposed the kinematic measure formula of a convex body that contains a fixed segment through covariogram in n-dimensional Euclidean space. Then, the proposed covariogram expression is considered as the regularization condition to restore the resolution of infrared images. Furthermore, a case of a regular hexagon is illustrated in detail. We deserve the explicit expression for the covariogram, the kinematic measure of a regular hexagon that contains a fixed segment. Experimental results demonstrate that the proposed CRIIR model achieves better performance compared to the state-of-the-art methods. The source implementation code will provide upon request.