A First-Order Image Super-Resolution Model Promoting Sharp Boundaries and Suppressing the Staircase Effect
Year: 2025
Author: Wenli Yang, Zhongyi Huang, Wei Zhu
East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 3 : pp. 464–492
Abstract
We propose a new non-convex first-order variational model for the image super-resolution problem. The model employs a recently developed regularizer that has proven to be effective in image restoration. Due to this regularizer, the salient feature of our model lies in the fact it can construct sharp edges in those generated super-resolution images from lower-resolution ones. Moreover, it also helps suppress the staircase effect. The maximum-minimum principle is proved, which indicates that there is no need to impose hard constraints on the objective function. Alternating direction method of multipliers with spectral penalty selection is utilized to minimize the associated functional. Cartoon and real gray and color images are tested to demonstrate the features of our model to show the comparison with state-of-the-art image super-resolution techniques.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2023-237.200224
East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 3 : pp. 464–492
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Image super-resolution variational model alternating direction method of multipliers.