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.
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