Skip to main content

Biomechanics-Informed Neural Networks for Myocardial Motion Tracking in MRI

  • Conference paper
  • First Online:
Medical Image Computing and Computer Assisted Intervention – MICCAI 2020 (MICCAI 2020)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 12263))

Abstract

Image registration is an ill-posed inverse problem which often requires regularisation on the solution space. In contrast to most of the current approaches which impose explicit regularisation terms such as smoothness, in this paper we propose a novel method that can implicitly learn biomechanics-informed regularisation. Such an approach can incorporate application-specific prior knowledge into deep learning based registration. Particularly, the proposed biomechanics-informed regularisation leverages a variational autoencoder (VAE) to learn a manifold for biomechanically plausible deformations and to implicitly capture their underlying properties via reconstructing biomechanical simulations. The learnt VAE regulariser then can be coupled with any deep learning based registration network to regularise the solution space to be biomechanically plausible. The proposed method is validated in the context of myocardial motion tracking on 2D stacks of cardiac MRI data from two different datasets. The results show that it can achieve better performance against other competing methods in terms of motion tracking accuracy and has the ability to learn biomechanical properties such as incompressibility and strains. The method has also been shown to have better generalisability to unseen domains compared with commonly used L2 regularisation schemes.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Institutional subscriptions

References

  1. Ashburner, J.: A fast diffeomorphic image registration algorithm. NeuroImage 38(1), 95–113 (2007)

    Article  Google Scholar 

  2. Bai, W., et al.: Automated cardiovascular magnetic resonance image analysis with fully convolutional networks. J. Cardiovasc. Magn. Reson. 20(1), 65 (2018)

    Article  Google Scholar 

  3. Balakrishnan, G., Zhao, A., Sabuncu, M.R., Guttag, J., Dalca, A.V.: VoxelMorph: a learning framework for deformable medical image registration. IEEE Trans. Med. Imaging 38(8), 1788–1800 (2019)

    Article  Google Scholar 

  4. Beg, M.F., Miller, M.I., Trouvé, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int. J. Comput. Vis. 61(2), 139–157 (2005)

    Article  Google Scholar 

  5. Bernard, O., et al.: Deep learning techniques for automatic MRI cardiac multi-structures segmentation and diagnosis: is the problem solved? IEEE Trans. Med. Imaging 37(11), 2514–2525 (2018)

    Article  Google Scholar 

  6. Bhalodia, R., Elhabian, S.Y., Kavan, L., Whitaker, R.T.: A cooperative autoencoder for population-based regularization of CNN image registration. In: Shen, D., et al. (eds.) MICCAI 2019. LNCS, vol. 11765, pp. 391–400. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-32245-8_44

    Chapter  Google Scholar 

  7. Bône, A., Louis, M., Colliot, O., Durrleman, S.: Learning low-dimensional representations of shape data sets with diffeomorphic autoencoders. In: Chung, A.C.S., Gee, J.C., Yushkevich, P.A., Bao, S. (eds.) IPMI 2019. LNCS, vol. 11492, pp. 195–207. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-20351-1_15

    Chapter  Google Scholar 

  8. Cao, J.J., Ngai, N., Duncanson, L., Cheng, J., Gliganic, K., Chen, Q.: A comparison of both dense and feature tracking techniques with tagging for the cardiovascular magnetic resonance assessment of myocardial strain. J. Cardiovasc. Magn. Reson. 20(1), 26 (2018)

    Article  Google Scholar 

  9. Elen, A., et al.: Three-dimensional cardiac strain estimation using spatio-temporal elastic registration of ultrasound images: a feasibility study. IEEE Trans. Med. Imaging 27(11), 1580–1591 (2008)

    Article  Google Scholar 

  10. Fan, J., Cao, X., Xue, Z., Yap, P.-T., Shen, D.: Adversarial similarity network for evaluating image alignment in deep learning based registration. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11070, pp. 739–746. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00928-1_83

    Chapter  Google Scholar 

  11. Ferdian, E., et al.: Fully automated myocardial strain estimation from cardiovascular MRI-tagged images using a deep learning framework in the UK Biobank. Radiol.: Cardiothorac. Imaging 2(1), e190032 (2020)

    Google Scholar 

  12. Fidon, L., Ebner, M., Garcia-Peraza-Herrera, L.C., Modat, M., Ourselin, S., Vercauteren, T.: Incompressible image registration using divergence-conforming B-splines. In: Shen, D., et al. (eds.) MICCAI 2019. LNCS, vol. 11765, pp. 438–446. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-32245-8_49

    Chapter  Google Scholar 

  13. Hu, Y., et al.: Adversarial deformation regularization for training image registration neural networks. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11070, pp. 774–782. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00928-1_87

    Chapter  Google Scholar 

  14. Hunter, P.J., Smaill, B.H.: The analysis of cardiac function: a continuum approach. Prog. Biophys. Mol. Biol. 52(2), 101–164 (1988)

    Article  Google Scholar 

  15. Khallaghi, S., et al.: Statistical biomechanical surface registration: application to MR-TRUS fusion for prostate interventions. IEEE Trans. Med. Imaging 34(12), 2535–2549 (2015)

    Article  Google Scholar 

  16. Kingma, D.P., Welling, M.: Auto-encoding variational bayes. In: International Conference on Learning Representations (2014)

    Google Scholar 

  17. Krebs, J., Delingette, H., Mailhé, B., Ayache, N., Mansi, T.: Learning a probabilistic model for diffeomorphic registration. IEEE Trans. Med. Imaging 38(9), 2165–2176 (2019)

    Article  Google Scholar 

  18. Mansi, T., Pennec, X., Sermesant, M., Delingette, H., Ayache, N.: iLogDemons: a demons-based registration algorithm for tracking incompressible elastic biological tissues. Int. J. Comput. Vision 92(1), 92–111 (2011)

    Article  Google Scholar 

  19. Petersen, S.E., et al.: Reference ranges for cardiac structure and function using cardiovascular magnetic resonance (CMR) in Caucasians from the UK Biobank population cohort. J. Cardiovasc. Magn. Reson. 19(1), 18 (2017)

    Article  Google Scholar 

  20. Qin, C., et al.: Joint learning of motion estimation and segmentation for cardiac MR image sequences. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11071, pp. 472–480. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00934-2_53

    Chapter  Google Scholar 

  21. Qin, C., et al.: Joint motion estimation and segmentation from undersampled cardiac MR image. In: Knoll, F., Maier, A., Rueckert, D. (eds.) MLMIR 2018. LNCS, vol. 11074, pp. 55–63. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00129-2_7

    Chapter  Google Scholar 

  22. Qin, C., Shi, B., Liao, R., Mansi, T., Rueckert, D., Kamen, A.: Unsupervised deformable registration for multi-modal images via disentangled representations. In: Chung, A.C.S., Gee, J.C., Yushkevich, P.A., Bao, S. (eds.) IPMI 2019. LNCS, vol. 11492, pp. 249–261. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-20351-1_19

    Chapter  Google Scholar 

  23. Rohlfing, T., Maurer, C.R.: Intensity-based non-rigid registration using adaptive multilevel free-form deformation with an incompressibility constraint. In: Niessen, W.J., Viergever, M.A. (eds.) MICCAI 2001. LNCS, vol. 2208, pp. 111–119. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-45468-3_14

    Chapter  Google Scholar 

  24. Rueckert, D., Frangi, A.F., Schnabel, J.A.: Automatic construction of 3-D statistical deformation models of the brain using nonrigid registration. IEEE Trans. Med. Imaging 22(8), 1014–1025 (2003)

    Article  Google Scholar 

  25. Rueckert, D., Sonoda, L.I., Hayes, C., et al.: Nonrigid registration using free-form deformations: application to breast MR images. IEEE Trans. Med. Imaging 18(8), 712–721 (1999)

    Article  Google Scholar 

  26. Shi, W., et al.: A comprehensive cardiac motion estimation framework using both untagged and 3-D tagged MR images based on nonrigid registration. IEEE Trans. Med. Imaging 31(6), 1263–1275 (2012)

    Article  Google Scholar 

  27. Sotiras, A., Davatzikos, C., Paragios, N.: Deformable medical image registration: a survey. IEEE Trans. Med. Imaging 32(7), 1153–1190 (2013)

    Article  Google Scholar 

  28. Vercauteren, T., Pennec, X., Perchant, A., Ayache, N.: Non-parametric diffeomorphic image registration with the demons algorithm. In: Ayache, N., Ourselin, S., Maeder, A. (eds.) MICCAI 2007. LNCS, vol. 4792, pp. 319–326. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-75759-7_39

    Chapter  Google Scholar 

  29. Zhu, Y., Luo, X., Gao, H., McComb, C., Berry, C.: A numerical study of a heart phantom model. Int. J. Comput. Math. 91(7), 1535–1551 (2014)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgement

This work was supported by EPSRC programme grant SmartHeart (EP/P001009/1). This research has been conducted mainly using the UK Biobank Resource under Application Number 40119. The authors wish to thank all UK Biobank participants and staff.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chen Qin .

Editor information

Editors and Affiliations

1 Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (pdf 270 KB)

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

Qin, C., Wang, S., Chen, C., Qiu, H., Bai, W., Rueckert, D. (2020). Biomechanics-Informed Neural Networks for Myocardial Motion Tracking in MRI. In: Martel, A.L., et al. Medical Image Computing and Computer Assisted Intervention – MICCAI 2020. MICCAI 2020. Lecture Notes in Computer Science(), vol 12263. Springer, Cham. https://doi.org/10.1007/978-3-030-59716-0_29

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-59716-0_29

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-59715-3

  • Online ISBN: 978-3-030-59716-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics