Skip to main content
Log in

Automated Tire visual inspection based on low rank matrix recovery

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

Visual inspection is a challenging and widely employed process in industries. In this work, an automated tire visual inspection system is proposed based on low rank matrix recovery. Deep Network is employed to perform texture segmentation which benefits low rank decomposition in both quality and computational efficiency. We propose a dual optimization method to improve convergence speed and matrix sparsity by incorporating the improvement of the soft-threshold shrinkage operator by the weight matrix M. We investigated how incremental multiplier affects the decomposition accuracy and the convergence speed of the algorithm. On this basis, image blocks were decomposed into low-rank matrix and sparse matrix in which defects were separated. Comparative experiments have been performed on our dataset. Experimental results validate the theoretical analysis. The method is promising in false alarm, robustness and running time based on multi-core processor distributed computing. It can be extended to other real-time industrial applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Al Arif SMMR, Knapp K, Slabaugh G (2018) Fully automatic cervical vertebrae segmentation framework for X-ray images. Comput Meth Prog Bio 157:95–111

    Article  Google Scholar 

  2. Badrinarayanan V, Kendall A, Cipolla R (2017) SegNet: a deep convolutional encoder-decoder architecture for image segmentation. IEEE Trans Pattern Anal 39(12):2481–2495

    Article  Google Scholar 

  3. Bouwmans T, Zahzah EH (2014) Robust PCA via principal component pursuit: a review for a comparative evaluation in video surveillance. Comput Vis Image Und 122:22–34. https://doi.org/10.1016/j.cviu.2013.11.009

    Article  Google Scholar 

  4. Candes EJ, Tao T (2010) The power of convex relaxation: near-optimal matrix completion. IEEE Trans Inform Theory 56(5):2053–2080

    Article  MathSciNet  MATH  Google Scholar 

  5. E. J. Candes, X. Li, Y. MA et al., “Robust principal component analysis?” J ACM, vol. 58, pp. 1–37, 2011.

  6. Cao F, Cai M, Chu J et al (2016) A novel segmentation algorithm for nucleus in white blood cells based on low-rank representation. Neural Comput Appl 28(1):503–511

    Google Scholar 

  7. Cen Y, Zhao R, Cen L, Cui L et al (2015) Defect inspection for TFT-LCD images based on the low-rank matrix reconstruction. Neurocomputing 149:1206–1215

    Article  Google Scholar 

  8. Chen L C, Zhu Y, Papandreou G, et al. (2018) “Encoder-decoder with atrous separable convolution for semantic image segmentation” ECCV, pp. 801–818

  9. Chu W (2021) Studies on the effects of wiring density on chip package interaction and design optimization with machine learning[D]. The University of Texas at Austin

  10. Eckstein J, Bertsekas D (1992) On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators. Math Program 55:293–318

    Article  MathSciNet  MATH  Google Scholar 

  11. Guo Q, Zhang C et al (2016) Defect detection in Tire X-ray images using weighted texture dissimilarity. J Sensors 2016:1–12

    Google Scholar 

  12. Jia Y, Liu L, Moon ZC (2021) Moon Impact Crater Detection Using Nested Attention Mechanism Based UNet++[J]. IEEE Access 9:44107–44116

    Article  Google Scholar 

  13. Jin B, Cruz L, Goncalves N (2020) Deep facial diagnosis: deep transfer learning from face recognition to facial diagnosis. IEEE Access 8:123649–123661

    Article  Google Scholar 

  14. Ju M et al (2019) IDGCP: image dehazing based on gamma correction prior. IEEE Trans Image Process 29:3104–3118

    Article  MATH  Google Scholar 

  15. Ju M, Ding C, Ren W, Yang Y, Zhang D, Guo YJ (2021) Ide: image dehazing and exposure using an enhanced atmospheric scattering model. IEEE Trans Image Process 30:2180–2192

    Article  Google Scholar 

  16. Li FY (2011) The study of an improved fuzzy edge detection algorithm in the radial tire quality detection. Adv Mater Res 317-319:968–971

    Article  Google Scholar 

  17. Li P, Liang J, Shen X, Zhao M, Sui L (2019) Textile fabric defect detection based on low-rank representation. Multimed Tools Appl 78:99–124

    Article  Google Scholar 

  18. Lin Z, Chen M, et al. (2013) “The Augmented Lagrange Multiplier Method for Exact Recovery of Corrupted Low-Rank Matrices,” arXiv:1009.5055

  19. Lin, Z, Ganesh, A, Wright, J, Wu, L, Chen, M, Ma, Y (n.d.) “Fast convex optimization algorithms for exact recovery of a corrupted low-rank matrix,” SIAM J Optim

  20. Liu G, Lin Z, Yan S, Sun J, Yu Y, Ma Y (2013) Robust recovery of subspace structures by low-rank representation. IEEE Trans Pattern Anal 35:171–184

    Article  Google Scholar 

  21. Mo D, Wong W, Lai Z, Zhou J (2020) Weighted double-low-rank decomposition with application to fabric defect detection. IEEE Trans Autom Sci Eng:1–21

  22. Ren S, He K, Girshick R, Sun J (2017) Faster R-CNN: towards real-time object detection with region proposal networks. IEEE T Pattern Anal 39(6):1137–1149

    Article  Google Scholar 

  23. Ren R, Hung T, Tan KC (2018) A generic deep-learning-based approach for automated surface inspection. IEEE Trans Cybern 48(3):929–940

    Article  Google Scholar 

  24. Ronneberger O, Fischer P, Brox T (2015) U-net: convolutional networks for biomedical image segmentation. LNCS 9351:234–241

    Google Scholar 

  25. Sun J, Li C, Wu XJ, Palade V, Fang W (2019) An effective method of weld defect detection and classification based on machine vision. IEEE Trans Ind Inform 15:6322–6333

    Article  Google Scholar 

  26. Tang G, Nehorai A (2011) “Robust principal component analysis based on low-rank and block-sparse matrix decomposition,” CISS

  27. Tao M, Yuan X (2011) Recovering low-rank and sparse components of matrices from incomplete and noisy observations. SIAM J Optim 21(1):57–81

    Article  MathSciNet  MATH  Google Scholar 

  28. Wang Q, Gao J, Yuan Y (2017) Embedding structured contour and location prior in siamesed fully convolutional networks for road detection. IEEE Trans Intell Transp Syst 19(1):230–241

    Article  Google Scholar 

  29. Wang Q, Han T, Qin Z, et al. (2020) “Multitask attention network for lane detection and fitting,”. IEEE Trans Neural Netw Learn Syst

  30. Wright J, Peng Y, Ma Y, Ganesh A, Rao S (2009) “Robust principal component analysis: exact recovery of corrupted low-rank matrices by convex optimization,” Neural Inf Process Syst, NIPS

  31. Xiang Y, Zhang C, Guo Q (2014) “A Dictionary-based Method for Tire Defect Detection,” in Proc IEEE Int Conf Infor Automat, pp. 519–523

  32. Yang B, Zhou L (2015) Robust foreground detection using block-based RPCA. Optik 126:4586–4590

    Article  Google Scholar 

  33. Yin X, Chen Y, Bouferguene A, Zaman H, al-Hussein M, Kurach L (2020) A deep learning-based framework for an automated defect detection system for sewer pipes[J]. Autom Constr 109:102967

    Article  Google Scholar 

  34. Zhang Y, Li T, Li Q (2013) Defect detection for tire laser shearography image using curvelet transform based edge detector. Opt Laser Technol 7:64–71

    Article  Google Scholar 

  35. Zhang Y, Li T, Li QL (2013) Detection of foreign bodies and bubble defects in Tire radiography images based on Total variation and edge detection. Chin Phys Lett 8:256–307

    Google Scholar 

  36. Zhang Y, Lefebvre D, Li Q (2017) Automatic detection of defects in Tire radiographic images. IEEE Trans Autom Sci Eng 14(3):1378–1386

    Article  Google Scholar 

  37. Zhang Y, Cui XH, Liu Y, Bin Y (2018) Tire Defects Classification Using Convolution Architecture for Fast Feature Embedding. Int J Comput Int Sys 11:1056–1066

    Article  Google Scholar 

  38. Zhang J, Wang H, Tian Y et al (2020) An accurate fuzzy measure-based detection method for various types of defects on strip steel surfaces. Comput Ind 122:103231

    Article  Google Scholar 

  39. Zhang X et al (2020) Pyramid channel-based feature attention network for image dehazing. Comput Vis Image Underst 197:103003

    Article  Google Scholar 

  40. Zhang X, Jiang R, Wang T, Luo W (2021) Single image Dehazing via dual-path recurrent network. IEEE Trans Image Process 30:5211–5222

    Article  Google Scholar 

  41. Zhao G, Qin S (2018) High-Precision Detection of Defects of Tire Texture Through X-ray Imaging Based on Local Inverse Difference Moment Features. Sensors 18(8):2524

    Article  Google Scholar 

  42. Zhao M, Liu Q, Jha A, et al. (2021) "VoxelEmbed: 3D Instance Segmentation and Tracking with Voxel Embedding based Deep Learning,". arXiv preprint arXiv:2106.11480

  43. Zhao M, Jha A, Liu Q, Millis BA, Mahadevan-Jansen A, Lu L, Landman BA, Tyska MJ, Huo Y (2021) Faster mean-shift: GPU-accelerated clustering for cosine embedding-based cell segmentation and tracking. Med Image Anal 71:102048

    Article  Google Scholar 

  44. Zheng Z, Zhang S, Yu B, Li Q, Zhang Y (2020) Defect inspection in Tire radiographic image using concise semantic segmentation. IEEE Access 8:112674–112687

    Article  Google Scholar 

  45. Zheng Z, Shen J, Shao Y, Zhang J, Tian C, Yu B, Zhang Y (2021) Tire defect classification using a deep convolutional sparse-coding network[J]. Meas Sci Technol 32(5):055401

    Article  Google Scholar 

  46. Zheng Z, Zhang S, Shen J, Shao Y, Zhang Y (2021) A two-stage CNN for automated Tire defect inspection in radiographic image. Meas Sci Technol 32:115403

    Article  Google Scholar 

  47. Zhou Z, Li X, Wright J, Candes E, Ma Y (2010) “Stable principal component pursuit,” IEEE ISIT Proceed, pp. 1518–1522

  48. Zhu J, Min Q, Wu J, Tian GY (2018) Probability of detection or Eddy current pulsed thermography of angular defect quantification. IEEE Trans Ind Inform 14(12):5658–5666

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Natural Science Foundation of Shandong Province No. ZR2019MEE066 and partly by No. ZR2018MC007.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yan Zhang.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, G., Zheng, Z., Shao, Y. et al. Automated Tire visual inspection based on low rank matrix recovery. Multimed Tools Appl 82, 24227–24246 (2023). https://doi.org/10.1007/s11042-023-14467-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-023-14467-1

Keywords

Navigation