Abstract
The purpose of this work is to contribute to the state of the art of deep-learning methods for diffeomorphic registration. We propose an adversarial learning LDDMM method for pairs of 3D mono-modal images based on Generative Adversarial Networks. The method is inspired by the recent literature on deformable image registration with adversarial learning. We combine the best performing generative, discriminative, and adversarial ingredients from the state of the art within the LDDMM paradigm. We have successfully implemented two models with the stationary and the EPDiff-constrained non-stationary parameterizations of diffeomorphisms. Our unsupervised learning approach has shown competitive performance with respect to benchmark supervised learning and model-based methods.
U. Ramon, M. Hernandez and E. Mayordomo—With the ADNI Consortium.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Sotiras, A., Davatzikos, C., Paragios, N.: Deformable medical image registration: a survey. IEEE Trans. Med. Imaging 32(7), 1153–1190 (2013)
Modersitzki, J.: FAIR: Flexible Algorithms for Image Registration. SIAM, New Delhi (2009)
Hua, X.: ADNI: tensor-based morphometry as a neuroimaging biomarker for Alzheimer’s disease: an MRI study of 676 AD, MCI, and normal subjects. Neuroimage 43(3), 458–469 (2008)
Liu, Y., Li, Z., Ge, Q., Lin, N., Xiong, M.: Deep feature selection and causal analysis of Alzheimer’s disease. Front. Neurosci. 13, 1198 (2019)
Beg, M.F., Miller, M.I., Trouve, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int. J. Comput. Vision 61(2), 139–157 (2005)
Ashburner, J.: A fast diffeomorphic image registration algorithm. Neuroimage 38(1), 95–113 (2007)
Vercauteren, T., Pennec, X., Perchant, A., Ayache, N.: Diffeomorphic demons: efficient non-parametric image registration. Neuroimage 45(1), S61–S72 (2009)
Hernandez, M.: Gauss-Newton inspired preconditioned optimization in large deformation diffeomorphic metric mapping. Phys. Med. Biol. 59(20), 6805 (2014)
Vialard, F.X., Risser, L., Rueckert, D., Cotter, C.J.: Diffeomorphic 3D image registration via geodesic shooting using an efficient adjoint calculation. Int. J. Comput. Vision 97(2), 229–241 (2011)
Zhang, M., Fletcher, T.: Fast diffeomorphic image registration via fourier-approximated lie algebras. Int. J. Comput. Vision 127, 61–73 (2018)
Dosovitskiy, A., Fischere, P., Ilg, E., Hausser, P., Hazirbas, C., Golkov, V.: Flownet: learning optical flow with convolutional networks. In: Proceedings of the 16th IEEE International Conference on Computer Vision (ICCV 2015), pp. 2758–2766 (2015)
Boveiri, H., Khayami, R., Javidan, R., Mehdizadeh, A.: Medical image registration using deep neural networks: a comprehensive review. Comput. Electr. Eng. 87, 106767 (2020)
Rohé, M.-M., Datar, M., Heimann, T., Sermesant, M., Pennec, X.: SVF-Net: learning deformable image registration using shape matching. In: Descoteaux, M., Maier-Hein, L., Franz, A., Jannin, P., Collins, D.L., Duchesne, S. (eds.) MICCAI 2017. LNCS, vol. 10433, pp. 266–274. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66182-7_31
Yang, X., Kwitt, R., Styner, M., Niethammer, M.: Quicksilver: fast predictive image registration - a deep learning approach. Neuroimage 158, 378–396 (2017)
Dalca, A.V., Balakrishnan, G., Guttag, J., Sabuncu, M.R.: Unsupervised learning for fast probabilistic diffeomorphic registration. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11070, pp. 729–738. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00928-1_82
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)
Krebs, J., Delingetter, H., Mailhe, B., Ayache, N., Mansi, T.: Learning a probabilistic model for diffeomorphic registration. IEEE Trans. Med. Imaging 38, 2165–2176 (2019)
Fan, J., Cao, X., Yap, P., Shen, D.: BIRNet: brain image registration using dual-supervised fully convolutional networks. Med. Image Anal. 54, 193–206 (2019)
Wang, J., Zhang, M.: DeepFLASH: an efficient network for learning-based medical image registration. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2020) (2020)
Mok, T.C.W., Chung, A.C.S.: Fast symmetric diffeomorphic image registration with convolutional neural networks. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2020) (2020)
Hoffmann, M., Billot, B., Greve, D.N., Iglesias, J.E., Fischl, B., Dalca, A.V.: Synthmorph: learning contrast-invariant registration without acquired images. IEEE Trans. Med. Imaging 41(3), 543–558 (2021)
Dalca, A.V., Balakrishnan, G., Guttag, J., Sabuncu, M.R.: Unsupervised learning of probabilistic diffeomorphic registration for images and surfaces. Med. Image Anal. 57, 226–236 (2019)
Mahapatra, D., Antony, B., Sedai, S., Garvani, R.: Deformable medical image registration using generative adversarial networks. In: IEEE International Symposium on Biomedical Imaging (ISBI 2018) (2018)
Duan, L., et al.: Adversarial learning for deformable registration of brain MR image using a multi-scale fully convolutional network. Biomed. Signal Process. Control 53, 101562 (2018)
Fan, J., Cao, X., Wang, Q., Yap, P., Shen, D.: Adversarial learning for mono- or multi-modal registration. Med. Image Anal. 58, 1015–1045 (2019)
Dey, N., Ren, M., Dalca, A.V., Gerig, G.: Generative adversarial registration for improved conditional deformable templates. In: Proceedings of the 18th IEEE International Conference on Computer Vision (ICCV 2021) (2021)
Dalca, A.V., Rakic, M., Guttag, J.V., Sabuncu, M.R.: Learning conditional deformable templates with convolutional networks. In: NeurIPS (2019)
Bigolin Lanfredi, R., Schroeder, J.D., Vachet, C., Tasdizen, T.: Interpretation of disease evidence for medical images using adversarial deformation fields. In: Martel, A.L., et al. (eds.) MICCAI 2020. LNCS, vol. 12262, pp. 738–748. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-59713-9_71
Younes, L.: Jacobi fields in groups of diffeomorphisms and applications. Q. Appl. Math. 65, 113–134 (2007)
Arsigny, V., Commonwick, O., Pennec, X., Ayache, N.: Statistics on diffeomorphisms in a Log-Euclidean framework. In: Proceedings of the 9th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI 2006), Lecture Notes in Computer Science, vol. 4190, pp. 924–931 (2006)
Zeiler, M.D., Taylor, G.W., Fergus, R.: Adaptive deconvolutional networks for mid and high level feature learning. In: ICCV, vol. 2011, pp. 2018–2025 (2011)
Odena, A., Dumoulin, V., Olah, C.: Deconvolution and checkerboard artifacts. Distill 1(10), e3 (2016)
Jaderberg, M., Simonyan, K., Zissermann, A., Kavukcuoglu, K.: Spatial transformer networks. In: Proceedings of Conference on Neural Information Processing Systems (NeurIPS 2015) (2015)
Christensen, G.E., et al.: Introduction to the non-rigid image registration evaluation project (NIREP). In: Proceedings of 3rd International Workshop on Biomedical Image Registration (WBIR 2006), vol. 4057, pp. 128–135 (2006)
Acknowledgement
This work was partially supported by the national research grant TIN2016-80347-R (DIAMOND project),PID2019-104358RB-I00 (DL-Ageing project), and Government of Aragon Group Reference \(T64\_20R\) (COSMOS research group). Ubaldo Ramon-Julvez’s work was partially supported by an Aragon Government grant. Project PID2019-104358RB-I00 granted by MCIN/AEI/10.13039/501100011033. We would like to thank Gary Christensen for providing the access to the NIREP database [34]. Data used in the preparation of this article were partially obtained from the Alzheimer’ s Disease Neuroimaging Initiative (ADNI) database (adni.loni.usc.edu). As such, the investigators within the ADNI contributed to the design and implementation of ADNI and/or provided data but did not participate in the analysis or writing of this report. A complete listing of ADNI investigators can be found at: https://adni.loni.usc.edu/wp-content/uploads/how_to_apply/ADNI_Acknowledgement_List.pdf.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
1 Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Ramon, U., Hernandez, M., Mayordomo, E. (2022). LDDMM Meets GANs: Generative Adversarial Networks for Diffeomorphic Registration. In: Hering, A., Schnabel, J., Zhang, M., Ferrante, E., Heinrich, M., Rueckert, D. (eds) Biomedical Image Registration. WBIR 2022. Lecture Notes in Computer Science, vol 13386. Springer, Cham. https://doi.org/10.1007/978-3-031-11203-4_3
Download citation
DOI: https://doi.org/10.1007/978-3-031-11203-4_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-11202-7
Online ISBN: 978-3-031-11203-4
eBook Packages: Computer ScienceComputer Science (R0)