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An Iteratively Reweighted Norm Algorithm for Image Edge Preservation

Le Li, Zhengsheng Wang, Mengying Wu

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Source: Crossref

Published: Sep 11, 2026

DOI: 10.4208/jms.v59n3.26.11

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Source abstract

We propose an algorithm based on iteratively reweighted norm strategy for image edge preservation. In order to achieve the purpose of boundary enhancement, we obtain a regularization operator through an adaptive process in the outer iteration and derive a Tikhonov regularization problem. An effective hybrid regularization method is used to solve this problem. The key to this method is to design the regularization operator through an adaptive diagonal weighting matrix so that it has the effect of image restoration and edge preservation at the same time. Numerical experiments are presented to demonstrate the feasibility and effectiveness of the algorithm.

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An Iteratively Reweighted Norm Algorithm for Image Edge Preservation — Mathematical Frontier Network