Abstract
Deep convolutional neural networks (CNNs) play an important role in learning image prior information for image denoising in recent years. However, the current plain networks suffer from feature extraction of weak textures, leading to the loss of image detail. In this paper, inspired by the insights in the connections of the classical deep residual block design and Taylor’s expansion, we propose a deep 2nd-order residual block to enhance the feature extraction ability. The proposed deep 2nd-order residual block combines the dilated convolution, the channel attention mechanism, and the self-ensemble strategy together to improve the denoising performance. Extensive experiments demonstrate that our deep 2nd-order residual block outperforms state-of-the-art image-denoising methods, while also serving as an excellent plug-and-play prior.
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References
Cao F, Liu H (2019) Single image super-resolution via multi-scale residual channel attention network. Neurocomputing 358:424–436
Chen Z, Hou X, Shao L, Gong C, Qian X, Huang Y, Wang S (2019) Compressive sensing multi-layer residual coefficients for image coding. IEEE Trans Circuits Syst Video Technol, pp 1–1
Chen Y, Pock T (2016) Trainable nonlinear reaction diffusion: a flexible framework for fast and effective image restoration. IEEE Trans Pattern Anal Mach Intell 39(6):1256–1272
Dabov K, Foi A, Katkovnik V, Egiazarian K (2007) Image denoising by sparse 3-d transform-domain collaborative filtering. IEEE Trans Image Process 16(8):2080–2095
Dong W, Shi G, Li X, Ma Y, Huang F (2014) Compressive sensing via nonlocal low-rank regularization. IEEE Trans Image Process 23(8):3618–3632
Dong W, Zhang L, Shi G, Li X (2013) Nonlocally centralized sparse representation for image restoration. IEEE Trans Image Process 22 (4):1620–1630
Donoho DL, Maleki A, Montanari A (2009) Message-passing algorithms for compressed sensing. In: Proceedings of the national academy of sciences of the United States of America, vol 106, pp 18914–18919
Dumoulin V, Visin F (2016) A guide to convolution arithmetic for deep learning. arXiv:1603.07285
Elad M, Aharon M (2006) Image denoising via sparse and redundant representations over learned dictionaries. IEEE Trans Image Process 15(12):3736–3745
Fang F, Li J, Yuan Y, Zeng T, Zhang G (2021) Multilevel edge features guided network for image denoising. IEEE Transactions on Neural Networks and Learning Systems 32(9):3956–3970
Franzen R (1999) Kodak lossless true color image suite. source: http://r0k.us/graphics/kodak 4(2)
Gu S, Zhang L, Zuo W, Feng X (2014) Weighted nuclear norm minimization with application to image denoising. In: IEEE Conference on computer vision and pattern recognition, pp 2862–2869
He K, Zhang X, Ren S, Sun J (2016) Deep residual learning for image recognition. In: IEEE Conference on computer vision and pattern recognition, pp 770–778
He K, Zhang X, Ren S, Sun J (2016) Identity mappings in deep residual networks. In: European conference on computer vision, pp 630–645
Hou X, Luo H, Liu J, Xu B, Sun K, Gong Y, Liu B, Qiu G (2019) Learning deep image priors for blind image denoising. In: IEEE Conference on computer vision and pattern recognition workshops, pp 0–0
Huang J, Singh A, Ahuja N (2015) Single image super-resolution from transformed self-exemplars. In: IEEE Conference on computer vision and pattern recognition, pp 5197–5206
Jia X, Liu S, Feng X, Zhang L (2019) Focnet: a fractional optimal control network for image denoising. In: IEEE Conference on computer vision and pattern recognition, pp 6054–6063
Kim D-G, Shamsi ZH (2018) Enhanced residual noise estimation of low rank approximation for image denoising. Neurocomputing 293:1–11
Liu D, Wen B, Fan Y, Loy CC, Huang TS (2018) Non-local recurrent network for image restoration. In: Advances in neural information processing systems, pp 1673–1682
Lu X, Yuan Y, Yan P (2013) Sparse coding for image denoising using spike and slab prior. Neurocomputing 106:12–20
Martin D, Fowlkes C, Tal D, Malik J (2001) A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. in: IEEE Conference on computer vision and pattern recognition, pp 416–423
Metzler CA, Maleki A, Baraniuk RG (2016) From denoising to compressed sensing. IEEE Trans Inf Theory 62(9):5117–5144
Metzler C, Mousavi A, Baraniuk R (2017) Learned d-amp: Principled neural network based compressive image recovery. In: Advances in neural information processing systems, pp 1772–1783
Mun S, Fowler JE (2009) Block compressed sensing of images using directional transforms. In: 2009 16Th IEEE international conference on image processing, pp 3021–3024
Pang Z, Zhang H-L, Luo S, Zeng T (2020) Image denoising based on the adaptive weighted tvp regularization. Signal Process 167:107325
Peng Y, Zhang L, Liu S, Wu X, Zhang Y, Wang X (2019) Dilated residual networks with symmetric skip connection for image denoising. Neurocomputing 345:67–76
Tan J, Ma Y, Baron D (2015) Compressive imaging via approximate message passing with image denoising. IEEE Trans Signal Process 63(8):2085–2092
Thakur RS, Yadav RN, Gupta L (2019) State-of-art analysis of image denoising methods using convolutional neural networks. IET Image Process 13(13):2367–2380
Tian C, Xu Y, Li Z, Zuo W, Fei L, Liu H (2020) Attention-guided cnn for image denoising. Neural Netw 124:117–129
Tian C, Xu Y, Zuo W, Du B, Lin C-W, Zhang D (2021) Designing and training of a dual cnn for image denoising. Knowledge-based Systems 226:106949
Timofte R, Agustsson E, Gool LV, Yang MH, Qi G (2017) Ntire 2017 challenge on single image super-resolution: Methods and results. In: IEEE Conference on computer vision and pattern recognition workshops, pp 1110–1121
Timofte R, Rothe R, Gool LV (2016) Seven ways to improve example-based single image super resolution. In: IEEE Conference on computer vision and pattern recognition, pp 1865–1873
Ulyanov D, Vedaldi A, Lempitsky V (2018) Deep image prior. In: IEEE Conference on computer vision and pattern recognition, pp 9446–9454
Wang X, Girshick R, Gupta A, He K (2018) Non-local neural networks. In: IEEE Conference on computer vision and pattern recognition, pp 7794–7803
Xu J, Huang Y, Liu L, Zhu F, Hou X, Shao L (2019) Noisy-as-clean: Learning unsupervised denoising from the corrupted image. arXiv:1906.06878
Zhang Y, Li K, Li K, Wang L, Zhong B, Fu Y (2018) Image super-resolution using very deep residual channel attention networks. In: Proceedings of the European conference on computer vision (ECCV), pp 286–301
Zhang J, Liu S, Xiong R, Ma S, Zhao D (2013) Improved total variation based image compressive sensing recovery by nonlocal regularization. In: 2013 IEEE International symposium on circuits and systems (ISCAS), pp 2836–2839
Zhang K, Zuo W, Chen Y, Meng D, Zhang L (2017) Beyond a gaussian denoiser: Residual learning of deep cnn for image denoising. IEEE Trans Image Process 26(7):3142–3155
Zhang K, Zuo W, Gu S, Zhang L (2017) Learning deep cnn denoiser prior for image restoration. In: IEEE Conference on computer vision and pattern recognition, pp 3929–3938
Zhang K, Zuo W, Gu S, Zhang L (2017) Learning deep cnn denoiser prior for image restoration. In: IEEE Conference on computer vision and pattern recognition, pp 2808–2817
Zhang K, Zuo W, Zhang L (2018) Ffdnet: Toward a fast and flexible solution for cnn-based image denoising. IEEE Trans Image Process 27(9):4608–4622
Acknowledgements
This research was sponsored in part by the National Natural Science Foundation of China (Grant No. 62002327, 61976190), Natural Science Foundation of Zhejiang Province (Grant No. Q21F020057), and Key Research and Development Program of Zhejiang Province (Grant No. 2020C03070).
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Chen, Z., Feng, Y. & Ren, Y. Deep 2nd-order residual block for image denoising. Multimed Tools Appl 82, 2101–2119 (2023). https://doi.org/10.1007/s11042-022-13241-z
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DOI: https://doi.org/10.1007/s11042-022-13241-z