[1] Fundamentals of digital image processing. Prentice-hall, Inc, Upper Saddle River, 1989.
[2] J. Benesty, J. Chen, and Y. Huang, “Study of the widely linear wiener filter for noise reduction,” in Abstrasts of IEEE international conference on acoustics, speech and signal processing, pp. 205–208, IEEE, Dallas, TX, USA, 2010.
[3] C. Tomasi and R. Manduchi, “Bilateral filtering for gray and color images,” in Proceedings of the Sixth International Conference on Computer Vision, (ICCV ’98, IEEE Computer Society, Washington .DC, USA), pp. 839–846, 1998.
[4] L. I. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Phys. D, Nonlinear Phenomena, vol. 60, no. 1-4, pp. 259– 268, 1992.
[5] P. Perona and J. Malik, “Scale-space and edge detection using anisotropic dif- fusion,” IEEE Trans. Pattern Anal. Mach. Intell, vol. 12, pp. 629–639, Jul. 1990.
[6] L. Rudin and S. Osher, “Total variation based image restoration with free local constraints,” in Abstracts of the 1st international conference on image process- ing, pp. 31–35, IEEE, 1994.
[7] C. Vogel and M. Oman, “Iterative methods for total variation denoising,” SIAM J Sci. Comput., vol. 17, pp. 227–238, Jan. 1996.
[8] Y. Lou, T. Zeng, S. Osher, and J. Xin, “A weighted difference of anisotropic and isotropic total variation model for image processing,” SIAM J Imaging Sci., vol. 8, pp. 1798–1832, Mar. 2015.
[9] Y. Hu and M. Jacob, “Higher degree total variation (hdtv) regularization for image recovery,” IEEE Trans. Image Process., vol. 21, pp. 2559–2571, May 2012.
[10] A. Beck and M. Teboulle, “Fast gradient-based algorithms for constrained to- tal variation image denoising and deblurring problems,” IEEE Trans. Image Process., vol. 18, pp. 2419–2434, Nov 2009.
[11] A. Buades, B. Coll, and J. M. Morel, “A review of image denoising methods, with a new one,” Multiscale Model, Simul., vol. 4, no. 2, pp. 490–530, 2005.
[12] A. Buades, B. Coll, and J.-M. Morel, “A non-local algorithm for image denois- ing,” in CVPR, 2005.
[13] G. Gilboa and S. Osher, “Nonlocal linear image regularization and supervised segmentation,” Multiscale Model, Simul., vol. 6, pp. 595–630, Jan 2007.
[14] G. Gilboa and S. Osher, “Nonlocal operators with applications to image pro- cessing,” SIAM Multiscale Model. Simul., vol. 7, no. 3, pp. 1005–1028, 2008.
[15] P. Coupe, P. Yger, S. Prima, P. Hellier, C. Kervrann, and C. Barillot, “An optimized blockwise nonlocal means denoising filter for 3-d magnetic resonance images,” IEEE Trans. Med. Imaging, vol. 27, pp. 425–441, April 2008.
[16] T. Thaipanich, B. Oh, P. Wu, D. Xu, and C. Kuo, “Improved image denoising with adaptive nonlocal means (anl-means) algorithm,” IEEE Trans. Consum. Electron, vol. 56, pp. 2623–2630, April 2010.
[17] J. Wang, Y. Guo, Y. Ying, Y. Liu, and Q. Peng, “Fast non-local algorithm for image denoising,” in Abstracts of 2006 international conference on image processing, pp. 1429–1432, IEEE, Atlanta, 2006.
[18] C. Pang, O. Au, J. Dai, W. Yang, and F. Zou, “A fast nl-means method in image denoising based on the similarity of spatially sampled pixels,” in Abstracts of 2009 IEEE international workshop on multimedia signal processing, pp. 1–4, IEEE,Rio De Janeiro, 2009.
[19] D. Tschumperle’ and L. Brum, “Non-local image smoothing by applying anisotropic diffusion pde’s in the space of patches,” in Abstracts of the 16th IEEE international conference on image processing, pp. 2957–2960, IEEE, Cairo, 2009.
[20] A. Kheradmand and P. Milanfar, “A general framework for regularized, similarity-based image restoration,” IEEE Trans. Image Process., vol. 23, pp. 5136–5151, Dec. 2014.
[21] L. Fan, X. Li, H. Fan, Y. Feng, and C. Zhang, “Adaptive texture-preserving denoising method using gradient histogram and nonlocal self-similarity priors,” IEEE Trans. Circuits Syst. Video. Technol. (in press), 2018.
[22] Y. Lou, P. Favaro, S. Soatto, and A. Bertozzi, “Nonlocal similarity image fil- tering,” in Abstracts of the 15th international conference on image processing, pp. 62–71, ACM,Vietri sul Mare.
[23] S. Zimmer, S. Didas, and J. Weickert, “A rotationally invariant block matching strategy improving image denoising with non-local means,” in Abstracts of in- ternational workshop on local and non-local approximation in image processing, pp. 103–113, IEEE,Lausanne, 2008.
[24] K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, “Image denoising by sparse 3-d transform-domain collaborative filtering,” IEEE Transactions on Image Processing, vol. 16, no. 8, pp. 2080–2095, 2007.
[25] K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, “A nonlocal and shape- adaptive transform-domain collaborative filtering,” in Proc. Int. Workshop Lo- cal Nonlocal Approx. Image Process., pp. 1–8, 2008.
[26] K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, “Bm3d image denoising with shape-adaptive principal component analysis,” in Proc. Workshop Signal Process. Adapt. Sparse Struct. Represent., pp. 1–6, 2009.
[27] C. Sutour, C. Deledalle, and J. Aujol, “Adaptive regularization of the nl- means:application to image and video denoising,” IEEE Trans. Image Process., vol. 23, pp. 3506–3521, Aug. 2014.
[28] D. Zoran and Y. Weiss, “From learning models of natural image patches to whole image restoration,” in Abstracts of 2011 international conference on com- puter vision, pp. 479–486, IEEE,Barcelona, 2011.
[29] S. Gu, Q. Xie, D. Meng, W. Zuo, X. Feng, and L. Zhang, “Weighted nuclear norm minimization and its appliations to low level vision,” Int J. Computer Vis., vol. 121, pp. 183–208, Feb. 2017.
[30] S. Gu, L. Zhang, W. Zuo, and X. Feng, “Weighted nuclear norm minimiza- tion with application to image denoising,” 2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014.
[31] M. Elad and M. Aharon, “Image denoising via learned dictionaries and sparse representation,” in Proc. IEEE Comput. Vis. Pattern Recognit., pp. 895–900, 2006.
[32] M. Elad and M. Aharon, “Image denoising via sparse and redundant representa- tions over learned dictionaries,” IEEE Trans. Image Process., vol. 15, pp. 3736– 3745, Dec 2006.
[33] M. Aharon, M. Elad, and A. Bruckstein, “The k-svd:an algorithm for designing of overcomplete dictionaries for sparse representations,” IEEE Trans. Image Process., vol. 54, pp. 4311–4322, Nov. 2006.
[34] J. Mairal, M. Elad, and G. Sapiro, “Sparse representation for color image restoration,” IEEE Trans. Image Process., vol. 17, pp. 53–69, Jan 2008.
[35] J. Mairal, F. Bach, J. Ponce, G. Sapiro, and A. Zisserman, “Non-local sparse models for image restoration,” in Proc. IEEE 12th Int. Conf. Comput. Vis., pp. 2272–2279, Sep-Oct 2009.
[36] P. Chatterjee and P. Milanfar, “Clustering-based denoising with locally learned dictionaries,” IEEE Trans. Image Process., vol. 18, pp. 1438–1451, Jul. 2009.
[37] K. Zhang, X. Gao, D. Tao, and X. Li, “Multi-scale dictionary for single image super-resolution,” in Abstracts of 2012 IEEE conference on computer vision and pattern recognition, pp. 1114–1121, IEEE,Providence, 2012.
[38] W. Dong, X. Li, L. Zhang, and G. Shi, “Sparsity-based image denoising via dictionary learning and structural clustering,” in Proc. Int. Conf. Comput. Vis. Pattern Recognit., pp. 457–464, 2011.
[39] W. Dong, L. Zhang, and X. Li, “Nonlocally centralized sparse representation for image restoration,” IEEE Trans. Image Process., vol. 22, pp. 1620–1630, April 2013.
[40] W. Dong, G. Shi, and X. Li, “Nonlocal image restoration with bilateral variance estimation: A low-rank approach,” IEEE Transactions on Image Processing, vol. 22, no. 2, pp. 700–711, 2013.
[41] A. Eriksson and A. van den Hengel, “Efficient computation of robust weighted low-rank matrix approximations using the l1 norm,” IEEE Trans. Pattern Anal. Mach. Intell, vol. 34, pp. 1681–1690, Sep. 2012.
[42] R. Liu, Z. Lin, and F. D. la Torre, “Fixed-rank representation for unsupervised visual learning,” in Abstracts of 2012 IEEE conference on computer vision and pattern recognition, pp. 598–605, IEEE, Providence, 2012.
[43] Q. Guo, C. Zhang, Y. Zhang, and H. Liu, “An efficient svd-based method for image denoising,” IEEE Trans. Circuits Syst. Video. Technol., vol. 26, pp. 868– 880, 2016.
[44] A. Rajwade, A. Rangarajan, and A. Banerjee, “Image denoising using the higher order singular value decomposition,” IEEE Trans. Pattern Anal. Mach. Intell, vol. 35, pp. 849–863, April 2013.
[45] G. Liu, Z. Lin, S. Yan, J. Sun, Y. Yu, and Y. Ma, “Robust recovery of sub- space structures by low-rank representation,” IEEE Trans. Pattern Anal. Mach. Intell, vol. 35, pp. 171–184, Jan 2013.
[46] C. Knaus and M. Zwicker, “Dual-domain image denoising,” in IEEE ICIP, 2013.
[47] N. Pierazzo, M. Lebrun, M. E. Rais, J. M. Morel, and G. Facciolo, “Non-local dual image denoising,” in IEEE ICIP 2014, 2014.
[48] J. Xie, L. Xu, and E. Chen, “Image denoising and inpainting with deep neural networks,” in Abstracts of the 25th international conference on neural informa- tion processing systems, vol. 1, pp. 341–349, ACM, Lake Tahoe, 2012.
[49] K. Zhang, W. Zuo, Y. Chen, D. Meng, and L. Zhang, “Beyond a gaussian denoiser:residual learning of deep cnn for image denoising,” IEEE Trans. Image Process., vol. 26, pp. 3142–3155, Jul. 2017.
[50] K. Zhang, W. Zuo, and L. Zhang, “Ffdnet:toward a fast and flexible solution for cnn-based image denoising,” IEEE Trans. Image Process., vol. 27, pp. 4608– 4622, Sep. 2019.
[51] C. Cruz, A. Foi, V. Katkovnik, and K. Egiazarian, “Nonlocality-reinforced con- volutional neural networks for image denoising,” in IEEE Signal Process. Lett., vol. 25, pp. 1216–1220, Aug. 2018.
[52] L. Zhang, W. Dong, D. Zhang, and G. Shi, “Two-stage image denoising by principal component analysis with local pixel grouping,” Pattern Recognition, vol. 43, no. 4, pp. 1531–1549, 2010.
[53] I. Pitas and A. N. Venetsanopoulos, Nonlinear digital filters: principles and applications. Kluwer, 1999.
[54] D. Brownrigg, “The weighted median filter,” Commun.ACM, vol. 27, pp. 807– 818, Aug 1984.
[55] A. Nieminen, P. Heinonen, and Y. Neuvo, “A new class of detail-preserving fil- ters for image processing,” IEEE Trans. Pattern Anal. Mach. Intell, vol. PAMI- 9, pp. 74–90, Jan 1987.
[56] S. J. Ko and Y. H. Lee, “Center weighted median filters and their applications to image enhancement,” IEEE Trans. Circuits Syst.,, vol. 38, pp. 984–993, Sep 1991.
[57] E. J. Coyle, J. H. Lin, and M. Gabbouj, “Optimal stack filtering and the esti- mation and structural approaches to image processing,” IEEE Trans. Acoust., Speech Signal Process, vol. 37, pp. 2037–2066, Dec 1989.
[58] T. Sun and Y. Neuvo, “Detail-preserving median based filters in image process- ing,” in Pattern Recognit. Lett.,, vol. 15, pp. 341–347, April 1994.
[59] T. Chen and H. R. Wu, “Space variant median filters for the restoration of impulse noise corrupted images,” IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 48, pp. 784–789, Aug 2001.
[60] T. Chen, K. K. Ma, and L. H. Chen, “Tri-state median filter for image denois- ing,” IEEE Trans. Image Process., vol. 8, pp. 1834–1838, Dec 1999.
[61] T. Chen and H. R. Wu, “Adaptive impulse detection using center-weighted median filters,” in IEEE Signal Process. Lett., vol. 8, pp. 1–3, Jun 2001.
[62] V. Crnojevic, V. Senk, and Z. Trpovski, “Advanced impulse detection based on pixel-wise mad,” in IEEE Signal Process. Lett., vol. 11, pp. 589–592, July 2004.
[63] S. Akkoul, R. Ledee, R. Leconge, and R. Harba, “A new adaptive switching median filter,” in IEEE Signal Process. Lett., vol. 17, pp. 587–590, Jun 2010.
[64] Y. Dong and S. Xu, “A new directional weighted median filter for removal of random-valued impulse noise,” IEEE Signal Processing Letters, vol. 14, no. 3, pp. 193–196, 2007.
[65] W. Luo, “A new efficient impulse detection algorithm for the removal of im- pulse noise,” IEICE Trans. Fundam. Electron., Commun., Comput., vol. E88-A, pp. 2579–2586, Oct 2005.
[66] G. Pok, J. C. Liu, and A. S. Nair, “Selective removal of impulse noise based on homogenity level information,” IEEE Trans. Image Process., vol. 12, pp. 85–92, Jan 2003.
[67] Y. Dong, R. H. Chan, and S. Xu, “A detection statistic for random-valued impulse noise,” IEEE Trans. Image Process., vol. 16, pp. 1112–1120, Mar 2007.
[68] U. Ghanekar, A. k. Singh, and R. Pandey, “A contrast enhancement-based filter for removal of random valued impulse noise,” IEEE Signal Processing Letters, vol. 17, no. 1, pp. 47–50, 2010.
[69] C. Y. Lien, C. C. Huang, P. Y. Chen, and Y. F. Lin, “An efficient denoising architecture for removal of impulse noise in images,” IEEE Transactions on Computers, vol. 62, no. 4, pp. 631–643, 2013.
[70] N. I. Petrovic’ and V. Crnojevic’, “Universal impulse noise filter based on ge- netic programming,” IEEE Trans. Image Process., vol. 17, pp. 1109–1120, Jul 2008.
[71] Y. Xiao, T. Zeng, J. Yu, and M. K. Ng, “Restoration of images corrupted by mixed gaussian-impulse noise via 11-10 minimization,” Pattern Recognition, vol. 44, no. 8, pp. 1708–1720, 2011.
[72] B. Xiong and Z. Yin, “A universal denoising framework with a new impulse detector and nonlocal means,” IEEE Trans. Image Process., vol. 21, pp. 1663– 1675, April 2012.
[73] J. Liu, X. C. Tai, H. Huang, and Z. Huan, “A weighted dictionary learning model for denoising images corrupted by mixed noise,” IEEE Trans. on Image Processing, vol. 22, pp. 1108–1120, March 2013.
[74] J. Jiang, L. Zhang, and J. Yang, “Mixed noise removal by weighted encoding with sparse nonlocal regularization,” IEEE Trans. on Image Processing, vol. 23, pp. 2651–2662, June 2014.
[75] L. Liu, L. Chen, C. L. P. Chen, Y. Y. Tang, and C. M. pun, “Weighted joint sparse representation for removing mixed noise in image,” IEEE Trans. on Cybernetics, vol. 47, pp. 600–611, March 2017.
[76] T. Huang, W. Dong, X. Xie, G. Shi, and X. Bai, “Mixed noise removal via laplacian scale mixture modeling and nonlocal low-rank approximation,” IEEE Transactions on Image Processing, vol. 26, no. 7, pp. 3171–3186, 2017.
[77] J. Zhang, R. Xiong, C. Zhao, S. Ma, and D. Zhao, “Exploiting image local and nonlocal consistency for mixed gaussian-impulse noise removal,” 2012 IEEE International Conference on Multimedia and Expo, 2012.
[78] Z. Lin, “A nonlocal means based adaptive denoising framework for mixed image noise removal,” 2013 IEEE International Conference on Image Processing, 2013.
[79] U. Schmidt and S. Roth, “Shrinkage fields for effective image restoration,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., pp. 2774–2781, Jun 2014.
[80] Y. Chen, W. Yu, and T. Pock, “On learning optimized reaction diffusion pro- cesses for effective image restoration,” in Proc. IEEE Conf. Comput. Vis. Pat- tern Recognit., pp. 5261–5269, Jun 2015.
[81] Y. Chen and T. Pock, “Trainable nonlinear reaction diffusion:a flexible frame- work for fast and effective image restoration,” IEEE Trans. Pattern Anal. Mach. Intell, 2016.
[82] A. Krizhevsky, I. Sutskever, and G. E. Hinton, “Imagenet classification with deep convolutional neural networks,” in Proc. Adv. Neural Inf. Process. Syst.,, pp. 1097–1105, 2012.
[83] S. Ioffe and C. Szegedy, “Batch normalization: Accelerating deep network train- ing by reducing internal covariate shift,” in Proc. Int. Conf. Mach. Learn., pp. 448–456, 2015.
[84] K. He, X. Zhang, S. Ren, and J. Sun, “Deep residual learning for image recogni- tion,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., pp. 770–778, 2016.
[85] T. Yamaguchi, A. Suzuki, and M. Ikehara, “Detail preserving mixed noise re- moval by dwm filter and bm3d,” IEICE Transactions on Fundamentals of Elec- tronics, Communications and Computer Sciences, vol. E100.A, no. 11, pp. 2451– 2457, 2017.
[86] T. Yamaguchi and M. Ikehara, “Fast and high quality image interpolation for single-frame using multi-filtering and weighted mean,” IEICE Transac- tions on Fundamentals of Electronics, Communications and Computer Sciences, vol. E100.A, no. 5, pp. 1119–1126, 2017.
[87] R. Keys, “Cubic convolution interpolation for digital image processing,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 29, no. 6, pp. 1153–1160, 1981.
[88] R. Gonzalez and R. Woods, Digital image processing. 3rd edn. Prentice-Hall, Inc, Upper Saddle River, 2006.
[89] R. Yang, L. Yin, M. Gabbouj, J. Astola, and Y. Neuvo, “Optimal weighted median filtering under structural constraints,” IEEE Transactions on Signal Processing, vol. 43, no. 3, pp. 591–604, 1995.
[90] R. Timofte, V. De, and L. V. Gool, “Anchored neighborhood regression for fast example-based super-resolution,” in 2013 IEEE International Conference on Computer Vision, pp. 1920–1927, 2013.
[91] R. Timofte, V. D. Smet, and L. V. Gool, “A+ adjusted anchored neighbor- hood regression for fast super-resolution,” in Computer Vision- ACCV 2014,ed. D.Cremers , I. Reid , H.Saito and M.H. Yang ,Cham, pp. 111–126, Springer International Publishing, 2015.
[92] C. Y. Yang and M. H. Yang, “Fast direct super-resolution by simple functions,” in International Conference on Computer Vision, pp. 561–568, 2013.
[93] C. Dong, C. C. Change, K. He, and X. Tang, “Image super-resolution using deep convolutional networks,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 38, pp. 295–307, Feb 2016.
[94] Y. Romano, J. Isidoro, and P. Milanfar, “Raisr: Rapid and accurate image super resolution,” IEEE Transactions on Computational Imaging, vol. 3, pp. 110–125, March 2017.
[95] S. C. Jeong and B. C. Song, “Training-based super-resolution algorithm using k-means clustering and detail enhancement,” in Proc.Eur. Signal Process. Conf, pp. 1791–1795, 2010.
[96] G. Yu, G. Sapiro, and S. Mallat, “Solving inverse problems with piecewise linear estimators: From gaussian mixture models to structured sparsity,” IEEE Trans. Image Process, vol. 21, pp. 2481–2499, May 2012.
[97] V. Papyan and M. Elad, “Multi-scale patch-based image restoration,” IEEE Trans. Image Process, vol. 25, pp. 249–261, Jan 2016.
[98] R. Zabih and J. Woodfill, “Non-parametric local transforms for computing vi- sual correspondence,” in Computer Vision ECCV’94, ed.J.O.Eklundh, Berlin, Heideberg, pp. 151–158, Springer Berlin Heideberg, 1994.
[99] X. Feng and P. Milanfar, “Multiscale principal components analysis for image local orientation estimation,” in Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers,2002, vol. 1, pp. 478–482, 2002.
[100] M. Bevilacqua, A. Roumy, C. Guillemot, and M. line Alberi Morel, “Low- complexity single-image super-resolution based on nonnegative neighbor em- bedding,” in Proceedings of the British Machine Vision Conference, pp. 135.1– 135.10, BMVS Press, 2012.