Total Variation Inpainting Algorithm Based on Logarithmic Operation and Additional Directional Gradient Operator

Shanshan Du; Chao Han

doi:10.3788/LOP56.011005

[1] Li K Y, Sun Y G. Fast image inpainting algorithm introducing continuous strength and confidence factor[J]. Journal of Image and Graphics, 17, 465-470(2012).

[2] Cao W, Wang H B, Shi J et al. Enhancement algorithm of finger vein image based on weighted guided filter with edge detection[J]. Laser & Optoelectronics Progress, 54, 021007(2017).

[3] Ni J Y, Li Q W, Zhou Y Q et al. Underwater image restoration based on transmittance optimization and color temperature adjustment[J]. Laser & Optoelectronics Progress, 54, 011001(2017).

[4] Tan Y Q, Zeng F J, Yue L et al. An improved texture image synthesis algorithm[J]. Laser & Optoelectronics Progress, 53, 121001(2016).

[5] Yin S B, Wang Y B, Li D P et al. Fast blind restoration for microscopic visual defocused images based on two guided filterings[J]. Acta Optica Sinica, 37, 0410002(2017).

[6] Barbu T. Anovel variational framework for structural image completion. [C]∥International Conference on Optimization of Electrical and Electronic Equipment (OPTIM) & Intl Aegean Conference on Electrical Machines and Power Electronics (ACEMP), 815-820(2017).

[7] Shen J H, Chan T F. Mathematical models for local nontexture inpaintings[J]. SIAM Journal on Applied Mathematics, 62, 1019-1043(2002). http://www.jstor.org/stable/3061798

[8] Chan T F, Shen J H, Vese L. Variational PDE models in image processing[J]. Notices of the American Mathematical Society, 50, 14-26(2003).

[9] Rudin L I, Osher S, Fatemi E. Nonlinear total variation based noise removal algorithms[J]. Physica D: Nonlinear Phenomena, 60, 259-268(1992). http://dl.acm.org/citation.cfm?id=142312

[10] Zhao Y W, Li X L. A rapid image inpainting algorithm based on TV model[J]. Microelectronics & Computer, 26, 253-256, 260(2009).

[11] Wang X H, Wang S, Fang L L. Image inpaiting based on TV model of direction gradient[J]. Jilin Normal University Journal (Natural Science Edition), 33, 1-7(2012).

[12] Wang T, Wang J F, Bai Q et al. Improved method of total variation image inpainting[J]. Computer Systems & Applications, 22, 121-124(2013).

[13] Cheng Q, Shen H F, Zhang L P et al. Inpainting for remotely sensed images with a multichannel nonlocal total variation model[J]. IEEE Transactions on Geoscience and Remote Sensing, 52, 175-187(2014). http://ieeexplore.ieee.org/document/6449320/

[14] Liu H F, Xiong R Q, Ma S W et al. Non-local extension of total variation regularization for image restoration. [C]∥IEEE International Symposium on Circuits and Systems (ISCAS), 1102-1105(2014).

[15] Duan J M, Pan Z K, Zhang B C et al. Fast algorithm for color texture image inpainting using the non-local CTV model[J]. Journal of Global Optimization, 62, 853-876(2015). http://link.springer.com/article/10.1007/s10898-015-0290-7

[16] Hou H N, Dai F, Yang C D. Image inpainting based on net function interpolation and TV model[J]. Computer Systems & Applications, 25, 117-125(2016).

[17] Nair J J, Francis D. Robustnon-local total variation image inpainting. [C]∥International Conference on Computational Intelligence and Communication Networks, 437-441(2015).

[18] Zhang H Y, Peng Q C. An image inpainting algorithm based on p-Laplace operator. C]∥China Communications Society Communication Theory and Signal Processing Specialized Committee, 2005 Communication Theory and Signal Processing Annual Conference(2005).