二阶总广义变分图像修复模型及其算法

doi:10.3969/j.issn.1001-2400.2012.05.004

Abstract

Abstract:

In order to restore the damaged image better, this paper proposes a new second total generalized variation based image inpainting model. By analysing the properties of new model, an efficient primal-dual algorithm is introduced. Experimental results show that the new model is better than the total variation model in terms of both peak signal to noise ratio(PSNR) and visual effect.

Key words: image inpainting, total generalized variation, total variation, primal-dual algorithm

CLC Number:

TP391.41

XU Jianlou;FENG Xiangchu;HAO Yan. Second order total generalized variational inpainting model and its algorithm[J].J4, 2012, 39(5): 18-23.

References

［1］ Bertalmio M, Sapiro G, Caselles V, et al. Image Inpainting［C］//Proc of the ACM SIGGRAPH. New Orleans: ACM Press, 2000: 417-424.
［2］ Criminisi A, Perez P, Toyama K. Region Filling and Object Removal by Exemplar-based Image Inpainting［J］. IEEE Trans on Image Processing, 2004, 13(9): 1200-1212.
［3］ Wu Jiying, Ruan Qiuqi. An Gaoyun. Exemplar-based Image Completion Model Employing PDE Corrections［J］. Informatica, 2010, 21(2): 259-276.
［4］ Xu Zongben, Sun Jian. Image Inpainting by Patch Propagation Using Patch Sparsity［J］. IEEE Trans on Image Processing, 2010, 19(5): 1153-1165.
［5］ Masnou S. Disocclusion: a Variational Approach Using Level Lines［J］. IEEE Trans on Image Processing, 2002, 11: 68-76.
［6］ Levin A, Zomet A, Weiss Y. Learning How to Inpait from Global Image Statistics［C］//IEEE International Conference on Computer Vision. France: IEEE, 2003: 305-312.
［7］郝岩, 冯象初, 许建楼. 一种非局部扩散的图像修复模型［J］. 西安电子科技大学学报, 2010, 37(5): 825-828.
Hao Yan, Feng Xiangchu, Xu Jianlou. Image Inpainting Model of Nonlocal Diffusion［J］. Journal of Xidian University, 2010, 37(5): 825-828.
［8］张伟斌, 冯象初, 王卫卫. 带Besov忠诚项的图像去噪变分模型［J］. 西安电子科技大学学报, 2011, 38(3): 155-158.
Zhang Weibin, Feng Xiangchu, Wang Weiwei. Variational Model with the Besov Fidelity Term for Image Denoising［J］. Journal of Xidian University, 2011, 38(3): 155-158.
［9］ Rudin L, Osher S, Fatemi E. Nonlinear Total Veriation Based Noise Removal Algorithms ［J］. Physica D, 1992, 60: 259-268.
［10］ Chan T, Shen J. Mathematical Models of Local Non-texture Inpaintings［J］. SIAM Journal on Applied Math, 2002, 62(3): 1019-1043.
［11］ Tai Xuecheng, Osher S, Holm R. Image Inpainting Using a TV-Stokes Equation［C］//Image Processing Based on Partial Differential Equations. Heidelberg: Springer, 2007: 3-22.
［12］ Bredies K, Kunisch K, Pock T. Total Generalized Variation［J］. SIAM Journal on Imaging Sciences, 2010, 3(3): 492-526.
［13］ Bredies K, Valkonen T. Inverse Problems with Second-order Total Generalized Variation Constraints［C/OL］. ［2011-10-20］. http://www.uni-graz.at/～bredies/papers/SampTA2011.pdf.
［14］ Pock T, Zebedin L, Bischof H. TGV-Fusion［J］. Lecture Notes in Computer Science, 2011, 6570: 245-258.
［15］ Knoll F, Bredies K, Pock T, et al. Second Order Total Generalized Variation(TGV) for MRI［J］. Magnetic Resonance in Medicine, 2011, 65(2): 480-491.
［16］ Chambolle A, Pock T. A First-order Primal-dual Algorithm for Convex Problems with Applications to Imaging［J］. Journal Mathematical Imaging Vision, 2011, 40(1): 120-145.

[1]	FENG Xiangchu,WANG Ping,HE Ruiqiang. Method for inpainting blind images using the game and L0 constraint [J]. Journal of Xidian University, 2021, 48(4): 103-112.
[2]	WANG Shuzhen;XIE Kun;LI Li;ZHANG Jingang. Improved RLTV algorithm used to radio image reconstruction [J]. Journal of Xidian University, 2017, 44(3): 72-76.
[3]	HUO Leigang;FENG Xiangchu;WANG Xudong;HUO Chunlei. Higherorder singular value decomposition- and total variation- regularized multiplicative noise removal model [J]. Journal of Xidian University, 2016, 43(3): 78-84.
[4]	LIU Qiaohong;LI Bin;LIN Min. Non-convex hybrid total variation method for image blind restoration [J]. Journal of Xidian University, 2016, 43(2): 120-125.
[5]	WANG Yong;FENG Tangzhi;CHEN Chuchu;QIAO Qianqian;YANG Xiaoyu;WANG Guodong. Adaptive sparse representation and total variation constraint based image reconstruction [J]. J4, 2016, 43(1): 12-17+109.
[6]	KUANG Tao;HUANG Liyu;ZHONG Yufang;LI Chao. Improved compressive sensing algorithm for CT image reconstruction with incomplete projection data [J]. J4, 2015, 42(4): 95-99+113.
[7]	WU Yulian;FENG Xiangchu. Nonconvex image inpainting via balanced regularization approach [J]. J4, 2014, 41(5): 141-147.
[8]	WANG Xudong;FENG Xiangchu;ZHANG Xuande. Iteratively reweighted second-order regularization based multiplicative noise removal model [J]. J4, 2014, 41(2): 130-136.
[9]	WU Yulian;FENG Xiangchu. Combining the wavelet and second order total generalized variation for the image zooming algorithm [J]. J4, 2013, 40(6): 155-161.
[10]	BAI Jian;FENG Xiangchu. Model based on the integro-differential equation for multiplicative noise removal [J]. J4, 2013, 40(3): 132-138.
[11]	BAI Jian;FENG Xiangchu. Image decomposition using the non-convex functional [J]. J4, 2013, 40(2): 67-71+137.
[12]	YANG Xiuhong;GUO Baolong;YAN Chunman. Image inpainting algorithm based on the weighted fractal under the structure-measurement constraint [J]. J4, 2012, 39(6): 84-91.
[13]	HAO Yan;FENG Xiang-chu;XU Jian-lou. Image inpainting model of nonlocal diffusion [J]. J4, 2010, 37(5): 825-828.
[14]	LU Cheng-wu1;2. Multiscale decomposition of image under (B_V,E) frame [J]. J4, 2009, 36(1): 171-176.
[15]	JIANG Ling-ling;YIN Hai-qing;FENG Xiang-chu. Image decomposition based on sparse representations and a projected regularization method [J]. J4, 2007, 34(5): 800-804.

Second order total generalized variational inpainting model and its algorithm

PDF (PC)

Like

Knowledge

Cited

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0