Super Resolution image reconstructs via total variation-based image deconvolution: a majorization-minimization approach

• URL: http://arxiv.org/abs/2502.10876v1
• Date: Sat, 15 Feb 2025 18:19:47 GMT
• Title: Super Resolution image reconstructs via total variation-based image deconvolution: a majorization-minimization approach
• Authors: Mouhamad Chehaitly,
• Abstract summary: This work aims to reconstruct image sequences with Total Variation regularity in super-resolution. We explain motion and compute the optical flow of a sequence of images using the Horn-Shunck algorithm to estimate motion. Super Resolution restoration from motion measurements is also discussed.
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• Abstract: This work aims to reconstruct image sequences with Total Variation regularity in super-resolution. We consider, in particular, images of scenes for which the point-to-point image transformation is a plane projective transformation. We first describe the super-resolution image's imaging observation model, an interpolation and Fusion estimator, and Projection on Convex Sets. We explain motion and compute the optical flow of a sequence of images using the Horn-Shunck algorithm to estimate motion. We then propose a Total Variation regulazer via a Majorization-Minimization approach to obtain a suitable result. Super Resolution restoration from motion measurements is also discussed. Finally, the simulation's part demonstrates the power of the proposed methodology. As expected, this model does not give real-time results, as seen in the numerical experiments section, but it is the cornerstone for future approaches. Finally, the simulation's part demonstrates the power of the proposed methodology. As expected, this model does not give real-time results, as seen in the numerical experiments section, but it is the cornerstone for future approaches.

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