Loading [MathJax]/jax/output/HTML-CSS/config.js
arrow
Volume 15, Issue 3
A First-Order Image Super-Resolution Model Promoting Sharp Boundaries and Suppressing the Staircase Effect

Wenli Yang, Zhongyi Huang & Wei Zhu

East Asian J. Appl. Math., 15 (2025), pp. 464-492.

Published online: 2025-06

Export citation
  • 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.

  • AMS Subject Headings

65M32, 94A08, 65K10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{EAJAM-15-464, author = {Yang , WenliHuang , Zhongyi and Zhu , Wei}, title = {A First-Order Image Super-Resolution Model Promoting Sharp Boundaries and Suppressing the Staircase Effect}, journal = {East Asian Journal on Applied Mathematics}, year = {2025}, volume = {15}, number = {3}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.2023-237.200224}, url = {http://global-sci.org/intro/article_detail/eajam/24152.html} }
TY - JOUR T1 - A First-Order Image Super-Resolution Model Promoting Sharp Boundaries and Suppressing the Staircase Effect AU - Yang , Wenli AU - Huang , Zhongyi AU - Zhu , Wei JO - East Asian Journal on Applied Mathematics VL - 3 SP - 464 EP - 492 PY - 2025 DA - 2025/06 SN - 15 DO - http://doi.org/10.4208/eajam.2023-237.200224 UR - https://global-sci.org/intro/article_detail/eajam/24152.html KW - Image super-resolution, variational model, alternating direction method of multipliers. AB -

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.

Yang , WenliHuang , Zhongyi and Zhu , Wei. (2025). A First-Order Image Super-Resolution Model Promoting Sharp Boundaries and Suppressing the Staircase Effect. East Asian Journal on Applied Mathematics. 15 (3). 464-492. doi:10.4208/eajam.2023-237.200224
Copy to clipboard
The citation has been copied to your clipboard