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

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1. Verfasser: Chehaitly, Mouhamad
Format: Preprint
Veröffentlicht: 2025
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author Chehaitly, Mouhamad
author_facet Chehaitly, Mouhamad
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10876
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Super Resolution image reconstructs via total variation-based image deconvolution: a majorization-minimization approach
Chehaitly, Mouhamad
Computer Vision and Pattern Recognition
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.
title Super Resolution image reconstructs via total variation-based image deconvolution: a majorization-minimization approach
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2502.10876