An Efficient Method for Euler's Elastica Based Image Deconvolution

被引:5
|
作者
Wali, Samad [1 ]
Shakoor, Abdul [2 ]
Samina [1 ]
Basit, Abdul [1 ]
Xie, Lipeng [1 ]
Huang, Chencheng [1 ,3 ]
Li, Chunming [1 ]
机构
[1] Univ Elect Sci & Technol China, Sch Informat & Commun, Chengdu 611731, Sichuan, Peoples R China
[2] Khwaja Fareed Univ Engn & Informat Technol, Dept Math, Rahim Yar Khan 64200, Pakistan
[3] Sichuan Univ Sci & Engn, Sch Automat & Informat Engn, Zigong 643000, Peoples R China
基金
中国国家自然科学基金;
关键词
Augmented Lagrangian method; Euler's elastica regularization; proximal method; image deconvolution; AUGMENTED LAGRANGIAN METHOD; FAST ALGORITHM; REGULARIZATION; MINIMIZATION;
D O I
10.1109/ACCESS.2019.2912660
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Variational models involving Euler's elastica energy have a wide range of applications in digital image processing. Recently, fast methods, such as the proximal-augmented Lagrangian method (PALM), have been successfully used to solve nonlinear higher order models for image restoration. In this paper, we extend fast method PALM to Euler's elastica deconvolution models with quadratic and nonquadratic fidelity terms. The proposed variational model can eliminate blur and noise and preserve edges while reducing the blocky and staircase artifacts during image restoration. We present an efficient and effective solution to the proposed minimization problems by a proximal-based numerical scheme. Our numerical experiments demonstrate several results on image deblurring and denoising, which shows a clear improvement of the proposed model over standard variational models such as total variation and Hessian-based model.
引用
收藏
页码:61226 / 61239
页数:14
相关论文
共 50 条
  • [1] Blind Image Deconvolution Based on Adaptive Euler’s Elastica Regularization
    Song, Xiuzheng
    Zhang, Jun
    Lu, Jingjing
    Rao, Sanping
    [J]. IAENG International Journal of Computer Science, 2024, 51 (01) : 32 - 38
  • [2] Euler's elastica and curvature based model for image restoration
    Khan, Mushtaq Ahmad
    Chen, Wen
    Ullah, Asmat
    Ji, Lin
    [J]. PLOS ONE, 2018, 13 (09):
  • [3] Proximal ADMM for Euler's Elastica Based Image Decomposition Model
    Liu, Zhifang
    Wali, Samad
    Duan, Yuping
    Chang, Huibin
    Wu, Chunlin
    Tai, Xue-Cheng
    [J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 12 (02) : 370 - 402
  • [4] An adaptive image inpainting method based on euler's elastica with adaptive parameters estimation and the discrete gradient method
    Dang Ngoc Hoang Thanh
    Prasath, V. B. Surya
    Dvoenko, Sergey
    Le Minh Hieu
    [J]. SIGNAL PROCESSING, 2021, 178
  • [5] A Penalty Relaxation Method for Image Processing Using Euler's Elastica Model
    He, Fang
    Wang, Xiao
    Chen, Xiaojun
    [J]. SIAM JOURNAL ON IMAGING SCIENCES, 2021, 14 (01): : 389 - 417
  • [6] Image Segmentation Using Euler's Elastica as the Regularization
    Zhu, Wei
    Tai, Xue-Cheng
    Chan, Tony
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2013, 57 (02) : 414 - 438
  • [7] Image Segmentation Using Euler’s Elastica as the Regularization
    Wei Zhu
    Xue-Cheng Tai
    Tony Chan
    [J]. Journal of Scientific Computing, 2013, 57 : 414 - 438
  • [8] A Novel Thanka Image Inpainting Method with Euler's Elastica and Iterative Denoising and Backward Projections
    Li, Qiaoqiao
    Wang, Weilan
    [J]. INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, 2023, 37 (10)
  • [9] A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing
    Deng, Liang-Jian
    Glowinski, Roland
    Tai, Xue-Cheng
    [J]. SIAM JOURNAL ON IMAGING SCIENCES, 2019, 12 (02): : 1190 - 1230
  • [10] EULER'S ELASTICA AND BEYOND
    Matsutani, Shigeki
    [J]. JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2010, 17 : 45 - 86