Skip to main content

Feature Map Augmentation to Improve Rotation Invariance in Convolutional Neural Networks

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 12002))

Abstract

Whilst it is a trivial task for a human vision system to recognize and detect objects with good accuracy, making computer vision algorithms achieve the same feat remains an active area of research. For a human vision system, objects seen once are recognized with high accuracy despite alterations to its appearance by various transformations such as rotations, translations, scale, distortions and occlusion making it a state-of-the-art spatially invariant biological vision system. To make computer algorithms such as Convolutional Neural Networks (CNNs) spatially invariant one popular practice is to introduce variations in the data set through data augmentation. This achieves good results but comes with increased computation cost. In this paper, we address rotation transformation and instead of using data augmentation we propose a novel method that allows CNNs to improve rotation invariance by augmentation of feature maps. This is achieved by creating a rotation transformer layer called Rotation Invariance Transformer (RiT) that can be placed at the output end of a convolution layer. Incoming features are rotated by a given set of rotation parameters which are then passed to the next layer. We test our technique on benchmark CIFAR10 and MNIST datasets in a setting where our RiT layer is placed between the feature extraction and classification layers of the CNN. Our results show promising improvements in the networks ability to be rotation invariant across classes with no increase in model parameters.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Cheng, G., Zhou, P., Han, J.: Learning rotation-invariant convolutional neural networks for object detection in VHR optical remote sensing images. IEEE Trans. Geosci. Remote Sens. 54(12), 7405–7415 (2016)

    Article  Google Scholar 

  2. Cheng, G., Zhou, P., Han, J.: RIFD-CNN: rotation-invariant and fisher discriminative convolutional neural networks for object detection. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 2884–2893 (2016)

    Google Scholar 

  3. Dicarlo, J., Zoccolan, D., Rust, N.C.: How does the brain solve visual object recognition? Neuron 73, 415–434 (2012). https://doi.org/10.1016/j.neuron.2012.01.010

    Article  Google Scholar 

  4. Dieleman, S., Willett, K.W., Dambre, J.: Rotation-invariant convolutional neural networks for galaxy morphology prediction. Mon. Not. Roy. Astron. Soc. 450(2), 1441–1459 (2015)

    Article  Google Scholar 

  5. Follmann, P., Bottger, T.: A rotationally-invariant convolution module by feature map back-rotation. In: 2018 IEEE Winter Conference on Applications of Computer Vision (WACV), pp. 784–792. IEEE (2018)

    Google Scholar 

  6. Girshick, R., Donahue, J., Darrell, T., Malik, J.: Rich feature hierarchies for accurate object detection and semantic segmentation. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 580–587 (2014)

    Google Scholar 

  7. Heaton, J.: Introduction to Neural Networks for Java, 2nd edn. Heaton Research Inc., Chesterfield (2008)

    Google Scholar 

  8. Hosseini, H., Xiao, B., Jaiswal, M., Poovendran, R.: On the limitation of convolutional neural networks in recognizing negative images. In: 2017 16th IEEE International Conference on Machine Learning and Applications (ICMLA), pp. 352–358. IEEE (2017)

    Google Scholar 

  9. Hubel, D.H., Wiesel, T.N.: Receptive fields of single neurons in the cat’s striate cortex. J. Physiol. 148, 574–591 (1959)

    Article  Google Scholar 

  10. Hubel, D.H., Wiesel, T.N.: Receptive fields and functional architecture of monkey striate cortex. J. Physiol. 195, 215–243 (1968)

    Article  Google Scholar 

  11. Jaderberg, M., Simonyan, K., Zisserman, A., Kavukcuoglu, K.: Spatial transformer networks. In: Cortes, C., Lawrence, N.D., Lee, D.D., Sugiyama, M., Garnett, R. (eds.) Advances in Neural Information Processing Systems 28, pp. 2017–2025. Curran Associates Inc., New York (2015)

    Google Scholar 

  12. Kauderer-Abrams, E.: Quantifying translation-invariance in convolutional neural networks. arXiv preprint arXiv:1801.01450 (2017)

  13. Krizhevsky, A., Hinton, G., et al.: Learning multiple layers of features from tiny images. Technical report. Citeseer (2009)

    Google Scholar 

  14. Kyrki, V.: Local and global feature extraction for invariant object recognition. Ph.D. thesis, Lappeenrannan University of Technology, Finland (2002)

    Google Scholar 

  15. LeCun, Y., Bottou, L., Bengio, Y., Haffner, P., et al.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278–2324 (1998)

    Article  Google Scholar 

  16. LeCun, Y., Cortes, C., Burges, C.: The MNIST database of handwritten digits. Technical report (1998)

    Google Scholar 

  17. Lenc, K., Vedaldi, A.: Understanding image representations by measuring their equivariance and equivalence. In: CVPR (2015)

    Google Scholar 

  18. Marcos, D., Volpi, M., Tuia, D.: Learning rotation invariant convolutional filters for texture classification. In: 2016 23rd International Conference on Pattern Recognition (ICPR), pp. 2012–2017. IEEE (2016)

    Google Scholar 

  19. Simonyan, K., Zisserman, A.: Very deep convolutional networks for large-scale image recognition. arXiv preprint arXiv:1409.1556 (2014)

  20. Xu, Y., Xiao, T., Zhang, J., Yang, K., Zhang, Z.: Scale-invariant convolutional neural networks. CoRR abs/1411.6369 (2014). http://arxiv.org/abs/1411.6369

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dinesh Kumar .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Kumar, D., Sharma, D., Goecke, R. (2020). Feature Map Augmentation to Improve Rotation Invariance in Convolutional Neural Networks. In: Blanc-Talon, J., Delmas, P., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2020. Lecture Notes in Computer Science(), vol 12002. Springer, Cham. https://doi.org/10.1007/978-3-030-40605-9_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-40605-9_30

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-40604-2

  • Online ISBN: 978-3-030-40605-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics