In this study, a framework is proposed to super-resolve the long range captured iris polar images. In this study, modified diamond search and enhanced total variation algorithms are proposed to super-resolve the long range captured iris polar multi-frame images. The framework is tested on Chinese Academy of Sciences' Institute of Automation (CASIA) long range iris database by comparing and analysing the structural similarity index matrix, peak signal-to-noise ratio, visual information fidelity in pixel domain, and execution time of proposed algorithms with Yang and Nguyen state-of-the-art algorithms. The results demonstrate that the proposed framework is well suited for super-resolution of iris images captured at a long distance.