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Learning nonlocal weights for second-order nonlocal super-resolution

Amine Laghrib, Fatim Zahra Ait Bella, Mourad Nachaoui, Muhammad Luthfi Hakim

2023Discrete and Continuous Dynamical Systems - S13 citationsDOIOpen Access PDF

Abstract

This research introduces an enhanced approach for multiframe super-resolution (SR) that incorporates a bilevel optimization technique for learning the space variable weights parameter in the second-order nonlocal term. This novel approach effectively preserves image edges and ensures accurate reconstruction of image textures. The main contributions of this work include the establishment of the existence and uniqueness of the solution within a well-posed framework and a bilevel optimization procedure to compute the weights $ \alpha $. The experimental results demonstrate the efficiency and accuracy of the proposed method compared to existing super-resolution approaches. These findings highlight the practical effectiveness and potential of the proposed approach in real-world applications.

Topics & Concepts

UniquenessSuperresolutionBilevel optimizationImage (mathematics)Resolution (logic)Computer scienceSpace (punctuation)Optimization problemAlgorithmTerm (time)Mathematical optimizationVariable (mathematics)Order (exchange)MathematicsArtificial intelligenceApplied mathematicsMathematical analysisPhysicsEconomicsQuantum mechanicsOperating systemFinanceAdvanced Image Processing TechniquesImage Processing Techniques and ApplicationsSparse and Compressive Sensing Techniques
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