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Mathematical Problems in Engineering
Volume 2015, Article ID 815132, 11 pages
Research Article

A New Fast Algorithm for Constrained Four-Directional Total Variation Image Denoising Problem

1LIST, Key Laboratory of Computer Network and Information Integration, Southeast University, Ministry of Education, Nanjing 210096, China
2INSERM U1099, 35000 Rennes, France
3LTSI, Université de Rennes I, 35000 Rennes, France
4Centre de Recherche en Information Médicale Sino-Français (CRIBs), 35000 Rennes, France

Received 1 August 2014; Revised 26 September 2014; Accepted 2 October 2014

Academic Editor: Jian Guo Zhou

Copyright © 2015 Fan Liao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [6 citations]

The following is the list of published articles that have cited the current article.

  • Yu Du Han, and Jae Heon Yun, “Performance of Restarted Homotopy Perturbation Method for TV-Based Image Denoising Problem,” Mathematical Problems in Engineering, vol. 2015, pp. 1–18, 2015. View at Publisher · View at Google Scholar
  • Haiying Liu, Jason Gu, Max Q.-H. Meng, and Wu-Sheng Lu, “Fast Weighted Total Variation Regularization Algorithm for Blur Identification and Image Restoration,” IEEE Access, vol. 4, pp. 6792–6801, 2016. View at Publisher · View at Google Scholar
  • Yingpin Chen, Jiaquan Jin, Hongwei Du, Linna Wu, and Bensheng Qiu, “Four-directional fractional-order total variation regularization for image denoising,” Journal of Electronic Imaging, vol. 26, no. 5, 2017. View at Publisher · View at Google Scholar
  • Xingguo Liu, Yingpin Chen, Zhenming Peng, Juan Wu, and Zhuoran Wang, “Infrared Image Super-Resolution Reconstruction Based on Quaternion Fractional Order Total Variation with Lp Quasinorm,” Applied Sciences, vol. 8, no. 10, pp. 1864, 2018. View at Publisher · View at Google Scholar
  • Zhuyuan Cheng, Fan Lin, Haiguang Wang, Yuqun Chen, Lingzhi Wang, and Yingpin Chen, “Four-Directional Total Variation Denoising Using Fast Fourier Transform and ADMM,” 2018 3rd IEEE International Conference on Image, Vision and Computing, ICIVC 2018, pp. 379–383, 2018. View at Publisher · View at Google Scholar
  • Yingpin Chen, Tian Pu, Yuqing Wang, Yanmin He, and Zhenming Peng, “Image Denoising Based on Sparse Representation and Regularization Constraint: A Review,” Shuju Caiji Yu Chuli/Journal of Data Acquisition and Processing, vol. 33, no. 1, pp. 1–11, 2018. View at Publisher · View at Google Scholar