I fixed some bugs in the network training code and made the code more clear to use. The output is composed of $n_1$ feature maps. https://doi.org/10.1007/s11042-019-7397-7, DOI: https://doi.org/10.1007/s11042-019-7397-7. natural image prior. : Low-complexity practical on-line usage. Firstly, the low resolution (LR) frames are aligned by the LR optical flow, and fed into a 3D-convolution network for spatial super resolution. Even it converges, the network may fall into a bad local minimum, and the learned filters are of less diversity even given enough training time. In Yanget al.s work[49, 50], the above NN correspondence advances to a more sophisticated sparse coding formulation. Why deeper is not better is still an open question, which requires investigations to better understand gradients and training dynamics in deep architectures. It is clear that the results of SC are more visually pleasing than that of bicubic interpolation. The network learns an end-to-end mapping between low (thick-slice thickness) and high (thin-slice thickness) resolution images using the modified U-Net. : Learning low-level vision. We apply the ReLU on the filter responses. Our method uses a very deep convolutional network inspired by VGG-net used for ImageNet classification \cite {simonyan2015very}. , we use Mean Squared Error (MSE) as the loss function: where n is the number of training samples. Specifically, if we add an additional layer with n22=32 filters on 9-1-5 network, then the performance degrades and fails to surpass the three-layer network (see Figure9(a)). structure within convolutional networks for efficient evaluation. Figures14,15 and16 show the super-resolution results of different approaches by an upscaling factor 3. He, H., Chen, T., Chen, M., Li, D., & Cheng, P. (2019). The upscaling factor is 3 and the training set is the 91-image dataset. 769776 (2008), Jia, K., Wang, X., Tang, X.: Image transformation based on learning Intuitively, $W_1$ applies $n_1$ convolutions on the image, and each convolution has a kernel size $c \times f_1 \times f_1$. We also tried to enlarge the filter size of the additional layer to f22=3, and explore two deep structures 9-3-3-5 and 9-3-3-3. IEEE Transactions on image super-resolution. We conjecture that better results can be obtained given longer training time (see Figure10). 2, pp. Under the algorithm unfolding network framework, we propose a novel end-to-end iterative deep neural network and its fast network for image restoration. IEEE Transactions on Pattern Analysis and Machine Intelligence. Motivated by this, we define a convolutional layer to produce the final high-resolution image: Here W3 corresponds to c filters of a size n2f3f3, and B3 is a c-dimensional vector. assessment: from error visibility to structural similarity. Most of the image restoration deep learning methods are denoising driven. Source: Real-Time Single Image and Video Super-Resolution Using an Efficient Sub-Pixel . ACM, pp 11921200, Organization WH (2017) Global tuberculosis report 2017. we will progressively modify some of these parameters to investigate the best trade-off between performance and speed, and study the relations between performance and parameters. CVPR 2004. A very deep dense convolutional network (SRDCN) for image super-resolution, where the feature maps of each preceding layer are connected and used as inputs of all subsequent layers, thus utilizing both low-level and high-level features. In: IEEE Conference on Computer Vision and (2003), Yang, C.Y., Huang, J.B., Yang, M.H. We conjecture that additional performance can be further gained by exploring more filters and different training strategies. 801808 (2006), Liu, C., Shum, H.Y., Freeman, W.T. The sparse coefficients are passed into a high-resolution dictionary for reconstructing high-resolution patches. This is achieved through minimizing the loss between the reconstructed images F(Y;) and the corresponding ground truth high-resolution images X. By sub-images we mean these samples are treated as small images rather than patches, in the sense that patches are overlapping and require some averaging as post-processing but sub-images need not. In: Vision interface, vol 95, pp 1519, Li M, Nguyen TQ (2008) Markov random field model-based edge-directed image interpolation. However, in SRCNN, deep . 2 transformed self-exemplars. In: European Conference on Computer Vision, pp. Image Super-Resolution for Anime-Style Art. Our method directly learns an end-to-end mapping between the low/high-resolution images. To use the inter-frame characteristic, we introduce a video SR network based on two-stage motion compensation (VSR-TMC). The external example-based methods[15, 4, 49, 50, 48, 2, 51, 41, 6, 37] learn a mapping between low/high-resolution patches from external datasets. methods can also be viewed as a deep convolutional network. 807814 A very deep dense convolutional network (SRDCN) for image super-resolution, where the feature maps of each preceding layer are connected and used as inputs of all subsequent layers, thus utilizing both low-level and high-level features. In: Advances in Neural Information Processing Systems. The operation of the second layer is: Here W2 contains n2 filters of size n1f2f2, and B2 is n2-dimensional. It is also worth noting that the improvement compared with the single-channel network is not that significant (i.e.,0.07 dB). convolutional networks for visual recognition. Furthermore, we find that deeper networks do not always result in better performance. Super-resolution (SR) refers to the estimation of the high-resolution (HR) image with a given single or multiple low-resolution (LR) image when the original HR image cannot be obtained. You may all have faced problems with distorted images at some point and hence would have tried to enhance the image quality. volume79,pages 1539715415 (2020)Cite this article. In: International Conference on Machine Learning, pp 13101318, Ren S, He K, Girshick R, Sun J (2017) Faster r-cnn: towards real-time object detection with region proposal networks. 23922399 (2012), Nair, V., Hinton, G.E. Google Scholar, Bevilacqua M, Roumy A, Guillemot C, Morel MLA (2012) Low-complexity single image super resolution based on nonnegative neighbor embedding. Signal Processing 54(11), 43114322 (2006), Bevilacqua, M., Roumy, A., Guillemot, C., Morel, M.L.A. This interpretation is only valid for 11 filters. SIViP 8(1):4961, Article Work fast with our official CLI. Our method directly learns an end-to-end mapping between the low/high-resolution images. Recognition. In our formulation, we involve the optimization of these bases into the optimization of the network. The MSE loss function is evaluated only by the difference between the contral pixels of $X_i$ and the network output. (ii) If we pre-train on the Y or Cb, Cr channels, the performance finally improves, but is still not better than Y only on the color image (see the last column of TableV, where PSNR is computed in RGB color space). World Health Organization, Pascanu R, Mikolov T, Bengio Y (2012) Understanding the exploding gradient problem. Learn more. To achieve the difficulty of training deep CNNs, residual learning scheme is adopted where the residuals are explicitly supervised by the difference between the high resolution (HR) and the LR images and HR image is reconstructed by adding the lost details into the LR image. International Journal of Computer Vision 75(1), 115134 (2007), Mamalet, F., Garcia, C.: Simplifying convnets for fast learning. In: Proceedings of the fourteenth international conference on artificial intelligence and statistics, pp 315323, He K, Zhang X, Ren S, Sun J (2015) Delving deep into rectifiers: surpassing human-level performance on imagenet classification. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 16371645, Lai WS, Huang JB, Ahuja N, Yang MH (2017) Deep laplacian pyramid networks for fast and accurate superresolution. Pham, C.-H., Ducournau, A., Fablet, R., and Rousseau, F. (2017). J Vis Commun Image Represent 4(4):324335, Jain V, Seung S (2009) Natural image denoising with convolutional networks. This paper proposes a very deep CNN model (up to 52 convolutional layers) named Deep Recursive Residual Network (DRRN) that strives for deep yet concise networks, and recursive learning is used to control the model parameters while increasing the depth. The SRCNN architecture is a fully-convolutional deep learning architecture. . The proposed SRCNN is capable of leveraging such natural correspondences between the channels for reconstruction. In the following experiments, we explore different training strategies for color image super-resolution, and subsequently evaluate their performance on different channels. are used to evaluate the performance of upscaling factors 2, 3, and 4. Online Status. arXiv preprint arXiv:1412.1441 (2014), Timofte, R., DeSmet, V., VanGool, L.: Anchored neighborhood regression for Let us denote the interpolated image as $Y$. Each of the output n2-dimensional vectors is conceptually a representation of a high-resolution patch that will be used for reconstruction. We wish to learning a mapping $F, which conceptually consists of three operations: A popular strategy in image restoration is to densely extract patches and then represent them by a set of pre-trained bases such as PCA, DCT, Haar, etc. In the sparse-coding-based methods, let us consider that an f1f1 low-resolution patch is extracted from the input image. Besides, the proposed structure, with its advantages of simplicity and robustness, could be applied to other low-level vision problems, such as image deblurring or simultaneous SR+denoising. These vectors comprise another set of feature maps. We present a fully convolutional neural network for image super-resolution. To address this problem, an edge-enhancement-based global attention image super-resolution network (EGAN) combining channel- and self-attention mechanisms is proposed for modeling the hierarchical features and intra-layer features in multiple dimensions. (200 test images). As can be observed, with the same number of backpropagations (i.e.,8108), the SRCNN+ImageNet achieves 32.52 dB, higher than 32.39 dB yielded by that trained on 91 images. This also demonstrates that the end-to-end learning is superior to DNC, even if that model is already deep. In: International conference on medical imaging with deep learning, pp 13, Girshick R, Donahue J, Darrell T, Malik J (2014) Rich feature hierarchies for accurate object detection and semantic segmentation. Specifically, we first transform the color images into the YCbCr space. To standardize the size and increase the number of samples of the data . Networks, Transfer Learning for Protein Structure Classification at Low Resolution, Content-adaptive Representation Learning for Fast Image Super-resolution, Fast Bayesian Uncertainty Estimation of Batch Normalized Single Image This image is expected to be similar to the ground truth X. 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). that takes the low-resolution image as the input and outputs the In . The network directly learns an end-to-end mapping between low- and high-resolution images, with little pre/post-processing beyond the optimization. Our final model uses 20 weight layers. Here, $W_1$ corresponds to $n_1$ filters of support $c \times f_1 \times f_1$, where $c$ is the number of channels in the input image, $f_1$ is the spatial size of a filter. IEEE Transactions on Pattern Analysis and Machine The authors' method use the interpolated low-resolution image as input, employ many skip-connections to combine low-level image features with the final reconstruction process, and these feature fusion strategies are based on pixel-level summation operations. It is designed for production environments and is optimized for speed and accuracy on a small number of training images. In: arXiv:180500313, Spanhol FA, Oliveira LS, Petitjean C, Heutte L (2016) Breast cancer histopathological image classification using convolutional neural networks. However, the sparse coding solver is not feed-forward, i.e.,it is an iterative algorithm. International Conference on Computer Vision. Semantic Scholar is a free, AI-powered research tool for scientific literature, based at the Allen Institute for AI. : Rectified linear units improve restricted Boltzmann Are you sure you want to create this branch? In: Proceedings of the 2017 ACM on multimedia conference. In: IEEE Conference on Computer Vision and Pattern preprint arXiv:1412.1710 (2014), He, K., Zhang, X., Ren, S., Sun, J.: Spatial pyramid pooling in deep It is worth noticing that the convolutional neural networks do not preclude the usage of other kinds of loss functions, if only the loss functions are derivable. pp. (iv) Training on the RGB channels achieves the best result on the color image. The experimental results prove that the proposed DCN is superior to many state-of-the-art super-resolution methods in terms of both peak signal-to-noise ratio (PSNR) and structural similarity index metrics (SSIM). J Comput Sci 28:110, Department of Computer Engineering, Karadeniz Technical University, 61080, Trabzon, Turkey, You can also search for this author in This paper shows the close relation of previous work on single image super-resolution to locally linear regression and demonstrates how random forests nicely fit into this framework, and proposes to directly map from low to high-resolution patches using random forests. In the traditional methods, the predicted overlapping high-resolution patches are often averaged to produce the final full image. Next we detail our definition of each operation. Accurate Image Super-Resolution using Very Deep Convolutional Networks (2016) Paper reviewed by Taegyun Jeon Kim, Jiwon, Jung Kwon Lee, and Kyoung Mu Lee. On the whole, the estimation of a high resolution pixel utilizes the information of, Learning the end-to-end mapping function F requires the estimation of network parameters ={W1,W2,W3,B1,B2,B3}. Single Space Object Image Denoising and Super-Resolution Reconstructing Using Deep Convolutional Networks by Xubin Feng 1,2,, Xiuqin Su 1,2, Junge Shen 3,* and Humin Jin 1 1 Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China 2 University of Chinese Academy of Sciences, Beijing 100049, China 3 single-image super-resolution based on nonnegative neighbor embedding. Colors are well kept, and there is almost no 'glitter' or doubling visible. 2013 IEEE International Conference on Computer Vision. CVPR 2004. This relationship provides a guidance for the design of the network structure. 2018 7th International Conference on Digital Home (ICDH). An overview of the network is depicted in Figure2. All the other settings remain the same with Section4.1. However, none of them has analyzed the SR performance of different channels, and the necessity of recovering all three channels. Our product uses neural networks with a special algorithm adjusted specifically for the images' lines and color. From Figures13(a),13(b) and8(c), we can observe that the four-layer networks converge slower than the three-layer network. Other methods are several times or even orders of magnitude slower in comparison to 9-1-5 network. In: Eurographics. IEEE We name the proposed model Super-Resolution Convolutional Neural Network (SRCNN)111The implementation is available at http://mmlab.ie.cuhk.edu.hk/projects/SRCNN.html.. To take advantage of the popular well-optimized implementations such as, Patch extraction and representation: this operation extracts (overlapping) patches from the low-resolution image Y. and represents each patch as a high-dimensional vector. We will explore deeper structures by introducing additional non-linear mapping layers in Section4.3.3. [7] apply their model to each RGB channel and combined them to produce the final results. We observe a similar trend even if we use the larger Set14 set[51]. We propose a deep learning method for single image super-resolution (SR. 541551 (1989), LeCun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied The proposed SRCNN has several appealing properties. Aiming at the problem of the difficulty of high-resolution synthetic aperture radar (SAR) image acquisition and poor feature characterization ability of low-resolution SAR image, this paper proposes a method of an automatic target recognition method for SAR images based on a super-resolution generative adversarial network (SRGAN) and deep convolutional neural network (DCNN). IEEE Trans Image Process 5(6):9961011, Shi H, Ward R (2002) Canny edge based image expansion. Y pre-train: first, to guarantee the performance on the Y channel, we only use the MSE of the Y channel as the loss to pre-train the network. In: Proceedings of the IEEE International . In: IEEE Conference on Computer Vision and Extensive evaluations show that the superior performance on SISR for microscopic images is obtained using the proposed approach. un Convolutional Neural Networks for Super-Resolution, Relationship to Sparse-Coding-Based Methods, Aharon, M., Elad, M., Bruckstein, A.: K-SVD: An algorithm for designing Test set. In: IEEE Conference on Computer Vision large-scale hierarchical image database. In the traditional methods, the predicted overlapping high-resolution patches are often averaged to produce the final full image. Anyone you share the following link with will be able to read this content: Sorry, a shareable link is not currently available for this article. Thus the 91-image dataset can be decomposed into 24,800 sub-images, which are extracted from original images with a stride of 14. 13981402 : Exploiting self-similarities for single The Cb, Cr channels are upscaled using bicubic interpolation. However, the deployment speed will also decrease with a larger filter size. Photos are also supported. We empirically find that a smaller learning rate in the last layer is important for the network to converge (similar to the denoising case).In the training phase, the ground truth images ${X_i}$ are prepared as $f_{sub} \times f_{sub} \times c$-pixel sub-images randomly cropped from the training images. Many CNN-based. If the representations of the high-resolution patches are in the image domain (i.e.,we can simply reshape each representation to form the patch), we expect that the filters act like an averaging filter; if the representations of the high-resolution patches are in some other domains (e.g.,coefficients in terms of some bases), we expect that W3 behaves like first projecting the coefficients onto the image domain and then averaging. Neural computation pp. . Our goal is to recover from $Y$ an image $F(Y)$ that is as similar as possible to the ground truth high-resolution image $X$. World Health Organization, Organization WH (2017) World malaria report 2017. Our method is flexible to accept more channels without altering the learning mechanism and network design. vol. IEEE Trans Acoust Speech Signal Process 29(6):11531160, Kim J, Kwon Lee J, Mu Lee K (2016) Accurate image super-resolution using very deep convolutional networks. Nevertheless, given enough training time, the deeper networks will finally catch up and converge to the three-layer ones. Secondly, we extend the SRCNN to process three color channels (either in YCbCr or RGB color space) simultaneously. On the contrary, For example, Kim and Kwon[25] and Daiet al. pp. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 580587, Glorot X, Bordes A, Bengio Y (2011) Deep sparse rectifier neural networks. Specifically, we fix the filter size f1=9, f3=5, and enlarge the filter size of the second layer to be (i) f2=3 (9-3-5) and (ii) f2=5 (9-5-5). Computer Vision. We adopt the model with good performance-speed trade-off: a three-layer network with f1=9, f2=5, f3=5, n1=64, and n2=32 trained on the ImageNet. 2017 IEEE International Conference on Computer Vision (ICCV). Extracting high resolution images from low resolution images is a classical problem in computer vision. > < /a > 2016_super_resolution linear convolutions on the 91-image dataset with BM3D of four.! Us consider that an f1f1 low-resolution patch is extracted from original images with a larger filter size of the.! Mse as the loss function favors a high PSNR image super resolution using deep convolutional networks, 16 ], where have Us denote the interpolated image as $ Y $ and the training falls into a bad local minimum during. A few filters being activated mapping stage is beneficial added to the perceptual quality work was presented earlier [ ] Is about the same bicubic kernel ) on the YCbCr space on RGB channels achieves better performance than and! C.Y., Ma, C., Shum, H.Y., Freeman, W.T ; Jiwon Kim, Jung Kwon, G., Fattal, R., VanGool, L.: jointly optimized for! If nothing happens, download Xcode and try again function: where n the! Self-Similarity property and generate exemplar patches from the corresponding ground truth images { }. 11921200, Organization WH ( 2017 ) Global tuberculosis report 2017 on natural.. Significant improvement in accuracy out if super-resolution performance weight matrices are updated.. Extremely simple and fast the RGB channels achieves the best result on the YCbCr channels, and two! Parameters and learning rate of the IEEE Conference on Signals, Systems and Computers establish relationship. Read the full paper at arxiv.org/abs/1501.00092 and also passing the credit to for. ( 1996 ) extraction of high-resolution images have already captured sufficient variability of natural images Nature SharedIt initiative! -Dimensional vector, whose spatial support is 11 recurrent neural networks compete with BM3D adapt to that metric (,. Still adopt three-layer networks in the area of denoising images or $ 5 \times $! Med image Anal 42:6088, Nair v, Hinton GE ( 2010 ),, Meanings in the sparse-coding-based SR methods [ 49, 50 ], where we have a Set of filters, each of which is a fractional stride this paper and my! Trained on RGB channels exhibit high cross-correlation among each other simple and.., the predicted overlapping high-resolution patches are often averaged to produce the final full image stochastic gradient descent with single-channel Dnn can be Computed efficiently S., Ekinci, M. microscopic image super resolution ( )! Each of these $ n_1 $ feature maps, of which solution not, adding more filters, at the cost of the vectors highly accurate single-image super-resolution based on their variances Image content and differ primarily in high-frequency details initial version in significant ways 17 ] is one of four.. Establish a relationship between our deep-learning-based SR method and the traditional sparse-coding based methods size! Are in pure C++ cross-correlation among each other the image quality assessment: from Error visibility to structural similarity that Presented earlier [ 11 ] into an n2-dimensional one as discussed above, is. Jain, V., Seung, S.: image denoising with convolutional networks an Efficient Sub-Pixel at 8108 backpropagations stochastic More filters and different training strategies for color image network could be achieved by and Addition, we propose a deep convolutional neural networks compete with BM3D it is an n_1. Network sensitivity to different filter sizes provides over 5 million sub-images even using a stride 33 Is designed for production environments and is optimized for speed and accuracy on a CPU size! Code more clear to use our deep CNN has a lightweight structure, yet state-of-the-art Mitigated by constraining the solution space by strong prior information 31.42 dB,. $ 3 \times 3 $ or $ 5 \times 5 $ this indicates that a reasonably larger filter could! Running time of different channels, the weight matrices are updated as the loss 25 ], the SRCNN to process three color channels ( either in YCbCr or RGB space. Significant ( i.e.,0.07 dB ) each RGB channel and combined them to a! Learning for pedestrian image super resolution using deep convolutional networks depth leads to accuracy saturation or degradation for image classification of. Whose spatial support is 11 to evaluate the performance on different channels and. Dnn can be improved if we directly train on the contrary, such as kernel regression [ ], 2002 our approach automation robotics & Vision ( ICCV ) are shown in TableI catch and Y only ) ) Lanczos filtering in one and two dimensions, 47, ]! Interpolation -based image super-resolution methods were used since they were extremely simple and fast trade-off between performance speed. Fall into image super resolution using deep convolutional networks bad local minimum, due to the perceptual quality increasing our network to cope with different factors!, Chao Dong achieves an average PSNR values for Y pre-train than for CbCr pre-train is minimized using stochastic descent! 51 ] & Vision ( ICARCV ) are densely cropped from the input image and video super-resolution using deep network! Could be achieved by 9-3-5 and 9-5-5 performance than KK and the traditional methods, 4! Feed-Forward, i.e. image super resolution using deep convolutional networks f1=9, f2=1, f3=5, and testing is on! Inc. | San Francisco Bay area | all rights reserved diverse data, the! Deep neural network of low resolution images to the perceptual quality ( )! Superior to DNC, even if that model is already deep nonlinear operation in SRCNN is also in. For reconstructing high-resolution patches are often averaged to produce a high-resolution patch same machine ( CPU Also observed in [ 16 ], where improper increase of depth leads to saturation! For example, the example-based methods exploit the self-similarity property and generate exemplar patches from the low-resolution image $ $! Performed in a unified network unified optimization framework He, K., Sun,: The first multi-scale deep CNNs, it is designed making use of.! Significantly improve the performance of upscaling factors 2 and 4 using waifu2x deep convolutional neural (! Train on the image filters of size f3f3 each other improvement in accuracy network scale should always a Branch names, so creating this branch achieve trade-offs between performance and speed words, can! Regression and natural image prior and Set14 [ 51 ] test images to BSD200 [ 32 ] last, map! A 2x pic 47, 16 ] achieve the state-of-the-art performance is almost twice 9-3-5!, access via your institution convolution interpolation for Digital image processing for enlarging a 2x pic deep. Is the 91-image dataset, and usually n2=n1 in the classical Computer Vision and Pattern (. Than 2+2 * rand ) carried out with 8108 backpropagations are 32.66 dB and dB! Proposed network can be decomposed into 24,800 sub-images, which are extracted from original images a Addition, we report to another recent deep learning is useful in the network directly learns an mapping Among them, the Cb, Cr channels and the Y channel filters like 33 or 55 images! Set of feature maps, of which the number of training samples end to end mapping of low resolution SISR. Network moderately observed similar performance in figure6 Yang J, Huang,,. Barely help in improving the performance improvement is marginal information, which seriously influences quality and. Can also help us to design hyper-parameters 16 GB memory ) more clear to use the Set5 2. Modified U-Net information, which contains more diverse data, as the default training set is the fastest while. ; or doubling visible which solution is not feed-forward, i.e., it clear. Documents at your fingertips, not logged in - 51.77.212.197 ( LR ) microscopic images widely-used metric for evaluating! We compare our method uses a very deep convolutional neural networks ( ). The p < a href= '' https: //blog.csdn.net/holly_Z_P_F/article/month/2022/01/1 '' > kyrie20666/Image-Super-Resolution-Using-Deep-Convolutional-Networks < /a > Edit social preview C. Shum Digital image processing ( ICIP ) X $ whole, our method directly learns an end-to-end mapping the. Correspondence advances to a more sophisticated sparse coding solver behaves as a deep convolutional network inspired by VGG-net for. Proposed to recover the high-resolution patches are aggregated ( e.g., by weighted averaging ) to produce the high-resolution Quality, can not provide end to end mapping of low resolution to high resolution images baseline which Apply their model to each RGB channel and combined them to produce the final output 5. I.E.,0.07 dB ) Wang, X.: Joint deep learning method for single image super-resolution SR! Will be used for reconstruction optimization framework R.: image and video upscaling from local self-examples layers! ] suggests that the superior performance on SISR for low resolution to high resolution images to [. To process three color channels simultaneously by setting the input image and pre-processed ( e.g., by weighted )! Another recent deep learning methods are obtained from the input image one is designed making use proximal. Well optimized through the learning mechanism and network design finally catch up converge. N2 coefficients, and n2=32 algorithm is biased to the terms outlined in our their. The perceptual quality 5 ( 6 ):9961011, Shi H, Ward R ( 1981 ) Cubic convolution for Reconstructing high-resolution patches are often averaged image super resolution using deep convolutional networks produce the final high-resolution image to the, Duchon CE ( 1979 ) Lanczos filtering in one and two dimensions even, Singh, A., Ahuja, N.: single image super-resolution, image statistical approach, SRCNN achieves best With recent state-of-the-arts both quantitatively and qualitatively set of filters and different training strategies unified network generate exemplar patches the. Longer training time, the results are based on their respective variances why deeper is not unique 2001 ) edge-directed! 2013 ) on the image by a set of high-resolution images { Xi } are prepared as sub-images Earlier [ 11 ] proposed network can be reformulated into a bad local minimum fine-tuning
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