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Learning graph-constrained cascade regressors for single image super-resolution

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Abstract

Learning cascade regression has been shown an effective strategy to further enhance the perceptual quality of resulted high-resolution (HR) images. However, previous cascade regression-based SR methods have two obvious weaknesses: (1)edge structures cannot be preserved well when applying texture features to represent low-resolution (LR) images, and (2)the local manifold structures spanned by the LR-HR feature spaces cannot be revealed by the learned local linear mappings. To alleviate the aforementioned problems, a novel example regression-based super-resolution (SR) approach called learning graph-constrained cascade regressors (LGCCR) is presented, which learns a group of multi-round residual regressors in a unique way. Specifically, we improve the edge preservation capability by synthesizing the whole HR image rather than local image patches, which facilitates to extract the edge features to represent LR images. Moreover, we utilize a graph-constrained regression model to build the local linear regressors, where each local linear regressor responds to an anchored atom in the learned over-complete dictionary. Both quantitative and qualitative quality evaluations on seven benchmark databases indicate the superiority of the proposed LGCCR-based SR approach in comparing with other state-of-the-art SR predecessors.

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References

  1. Freeman WT, Jones TR, Pasztor EC (2002) Example-based super-resolution. IEEE Comput Graph Appl 22(2):56–65

    Article  Google Scholar 

  2. Sun J, Zheng N, Tao H, Shum H (2003) Image hallucination with primal sketch priors. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp 729-736

  3. Gao X, Zhang K, Tao D, Li L (2012) Single image super-resolution with sparse neighbor embedding. IEEE Trans Image Process 21(7):3194–3205

    Article  MathSciNet  Google Scholar 

  4. Gao X, Zhang K, Tao D, Li X (2012) Joint learning for single-image super-resolution via a coupled constraint. IEEE Trans Image Process 21(2):469–480

    Article  MathSciNet  Google Scholar 

  5. Yang J, Wright J, Huang T, Ma Y (2010) Image super-resolution via sparse representation. IEEE Trans Image Process 19(11):2861–2873

    Article  MathSciNet  Google Scholar 

  6. Zeyde R, Elad M, Protter M (2010) On single image scale-up using sparse-representations. In: International conference on curves and surfaces, pp 711-730

  7. Yang J, Wang Z, Lin Z, Cohen S, Huang T (2012) Coupled dictionary training for image super-resolution. IEEE Trans Image Process 21(8):467–3478

    MathSciNet  MATH  Google Scholar 

  8. Wang S, Zhang L, Liang Y, Pan Q (2012) Semi-coupled dictionary learning with applications to image super-resolution and photo-sketch synthesis. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp 2216-2223

  9. Vishnukumar S, Wilscy M (2017) Single image super-resolution based on compressive sensing and improved TV minimization sparse recovery. Opt Commun 404:80–93

    Article  Google Scholar 

  10. Timofte R, De Smet V, Van Gool L (2013) Anchored neighborhood regression for fast example-based super-resolution. In: Proceedings of the IEEE International Conference on Computer Vision, pp 1920-1927

  11. Timofte R, De Smet V, Van Gool L (2014) A+: Adjusted anchored neighborhood regression for fast super-resolution. In: Asian conference on computer vision, pp 111-126

  12. Yang CY, Yang MH (2013) Fast direct super-resolution by simple functions. In: Proceedings of the IEEE international conference on computer vision, pp 561-568

  13. Zhang K, Tao D, Gao X, Li X, Xiong Z (2015) Learning multiple linear mappings for efficient single image super-resolution. IEEE Trans Image Process 24(3):846–861

    Article  MathSciNet  Google Scholar 

  14. Zhang K, Wang B, Zuo W, Zhang H, Zhang L (2015) Joint learning of multiple regressors for single image super-resolution. IEEE Signal Process Lett 23(1):102–106

    Article  Google Scholar 

  15. Schulter S, Leistner C, Bischof H (2015) Fast and accurate image upscaling with super-resolution forests. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp 3791-3799

  16. Dong C, Loy C, He K, Tang X (2014) Learning a deep convolutional network for image super-resolution. In: European conference on computer vision, pp 184-199

  17. Kim J, Kwon Lee J, Mu Lee K (2016) Accurate image super-resolution using very deep convolutional networks. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 1646–1654

  18. Tang Z, Luo L, Peng H, Li S (2018) A joint residual network with paired reLUs activation for image super-resolution. Neurocomputing 273:37–46

    Article  Google Scholar 

  19. Wang L, Huang Z, Gong Y, Pan C (2017) Ensemble based deep networks for image super-resolution. Pattern Recogn 68:191– 198

    Article  Google Scholar 

  20. Jiang J, Kasem HM, Hung KW (2019) A very deep spatial transformer towards robust single image super-resolution. IEEE Access 7:45618–45631

    Article  Google Scholar 

  21. Liu P, Hong Y, Liu Y (2019) Deep differential convolutional network for single image super-resolution. IEEE Access 7:37555–37564

    Article  Google Scholar 

  22. Liu P, Hong Y, Liu Y (2019) A novel multi-scale adaptive convolutional network for single image super-resolution. IEEE Access 7:45191–45200

    Article  Google Scholar 

  23. Hu Y, Wang N, Tao D, Gao X, Li X (2016) SERF: A simple, effective, robust, and fast image super-resolver from cascaded linear regression. IEEE Trans Image Process 25(9):4091–4102

    Article  MathSciNet  Google Scholar 

  24. Zhang K, Wang Z, Li J (2019) Learning recurrent residual regressors for single image super-resolution. Signal Process 154:324–337

    Article  Google Scholar 

  25. Aharon M, Elad M, Bruckstein A (2006) K-SVD: an algorithm for designing overcomplete dictionaries for sparse representation. IEEE Trans Signal Process 54(11):4311–4322

    Article  Google Scholar 

  26. Zhang J, Zhao C, Xiong R, Ma S, Zhao D (2012) Image super-resolution via dual-dictionary learning and sparse representation. In: IEEE International symposium on circuits and systems (ISCAS), pp 1688–1691

  27. Foroughi H, Ray N, Zhang H (2015) Robust people counting using sparse representation and random projection. Pattern Recogn 48(10):3038–3052

    Article  Google Scholar 

  28. Jiang Z, Lin Z, Davis LS (2013) Label consistent k-SVD: Learning a discriminative dictionary for recognition. IEEE Trans Pattern Anal Mach Intell 35(11):2651–2664

    Article  Google Scholar 

  29. Wang Z, Liu J, Xue JH (2017) Joint sparse model-based discriminative k-SVD for hyperspectral image classification. Signal Process 133:144–155

    Article  Google Scholar 

  30. Seghouane AK, Hanif M (2015) A sequential dictionary learning algorithm with enforced sparsity. In: IEEE International conference on acoustics, speech and signal processing (ICASSP), pp 3876–3880

  31. Schulter S, Leistner C, Bischof H (2015) Fast and accurate image upscaling with super-resolution forests. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp 3791–3799

  32. Chang CY, Tu WC, Chien SY (2016) Optimized regressor forest for image Super-Resolution. In: Proceedings of the British Machine Vision Conference (BMVC), pp 85.1–85.12

  33. Golub GH, Hansen PC, O’Leary DP (1998) Tikhonov regularization and total least squares. Siam J Matrix Anal Appl 21(1):185–194

    Article  MathSciNet  Google Scholar 

  34. Jiang J, Hu R, Han Z, Lu T (2014) Efficient single image super-resolution via graph-constrained least squares regression. Multimed Tools Appl 72(3):2573–2596

    Article  Google Scholar 

  35. Dai D, Kroeger T, Timofte R, Van Gool L (2015) Metric imitation by manifold transfer for efficient vision applications. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp 3527–3536

  36. He X, Cai D, Yan S, Zhang HJ (2005) Neighborhood preserving embedding. In: IEEE International conference on computer vision, pp 1208–1213

  37. Belkin M, Niyogi P (2002) Laplacian eigenmaps and spectral techniques for embedding and clustering. In: Advances in neural information processing systems, pp 585–591

  38. Bevilacqua M, Roumy A, Guillemot C, Alberi-Morel ML (2012) Low-complexity single-image super-resolution based on nonnegative neighbor embedding. In: Proceedings of the 2012 British Machine Vision Conference, pp 1–10

  39. Zhang K, Li J, Xiong Z, Liu X, Gao X (2017) Optimized multiple linear mappings for single image super-resolution. Opt Commun 404:169–176

    Article  Google Scholar 

  40. 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: Proceedings Eighth IEEE International Conference on Computer Vision, pp 416–423

  41. Dai D, Timofte R, Van Gool L (2015) Jointly optimized regressors for image super-resolution. Comput Graph Forum 34(2):95– 104

    Article  Google Scholar 

  42. Prakash VNVS, Prasad KS, Prasad TJC (2017) Color image demosaicing using sparse based radial basis function network. Alexandria Eng J 56(4):477–483

    Article  Google Scholar 

  43. Huang JB, Singh A, Ahuja N (2015) Single image super-resolution from transformed self-exemplars. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 5197–5206

  44. Zhang K, Wang B, Zuo W, Zhang H, Zhang L (2015) Joint learning of multiple regressors for single image super-resolution. IEEE Signal Process Lett 23(1):102–106

    Article  Google Scholar 

  45. Wang Z, Bovik AC, Sheikh HR, Simoncelli EP (2004) Quality assessment: from error measurement to structural similarity. IEEE Trans Image Process 13(4):600–612

    Article  Google Scholar 

  46. Gao F, Tao D, Gao X, Li X (2015) Learning to rank for blind image quality assessment. IEEE Trans Neural Netw Learn Syst 26(10):2275–2290

    Article  MathSciNet  Google Scholar 

  47. Gao F, Yu J (2016) Biologically inspired image quality assessment. Signal Process 124:210–219

    Article  Google Scholar 

  48. Timofte R, Rothe R, Van Gool L (2016) Seven ways to improve example-based single image super resolution. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp 1865–1873

  49. Agustsson E, Timofte R, Van Gool L (2017) Regressor basis learning for anchored super-resolution. In: International conference on pattern recognition, pp 3850–3855

  50. Zhang K, Luo S, Li M, Jing J, Lu J, Xiong Z (2020) Learning stacking regressors for single image super-resolution. Appl Intell 50(12):4325–4341

    Article  Google Scholar 

  51. Huang Y, Li J, Gao X, He L, Lu W (2018) Single image super-resolution via multiple mixture prior models. IEEE Trans Image Process 27(12):5904–5917

    Article  MathSciNet  Google Scholar 

  52. Mei Y, Fan Y, Zhang Y, Yu J, Zhou Y, Liu D, Fu Y, Huang TS, Shi H (2020) Pyramid attention networks for image restoration. arXiv:2004.13824

Download references

Acknowledgment

The authors would like to thank the Associate Editor and the anonymous reviewers for their constructive and insightful comments on this paper. This work was supported in part by the National Natural Science Foundation of China under Grant 61971339, Grant 61471161, and Grant 61972136, in part by the Key Project of the Natural Science Foundation of Shaanxi Province under Grant 2018JZ6002 and Grant 2018GY-173, in part by the Textile Intelligent Equipment Information and Control Innovation Team of Shaanxi Innovation Ability Support Program under Grant 2021TD-29, in part by the Science and Technology Planning Project of Xi’an under Grant 2020KJRC0028, in part by the Technology Planning Project of Beilin, Xi’an under Grant GX2006, and in part by Natural Science Basic Research Program of Shaanxi under Grant 2021JM-452.

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Correspondence to Kaibing Zhang.

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Yan, J., Zhang, K., Luo, S. et al. Learning graph-constrained cascade regressors for single image super-resolution. Appl Intell 52, 10867–10884 (2022). https://doi.org/10.1007/s10489-021-02904-3

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