Abstract
Deformetrica is an open-source software for the statistical analysis of images and meshes. It relies on a specific instance of the large deformation diffeomorphic metric mapping (LDDMM) framework, based on control points: local momenta vectors offer a low-dimensional and interpretable parametrization of global diffeomorphims of the 2/3D ambient space, which in turn can warp any single or collection of shapes embedded in this physical space. Deformetrica has very few requirements about the data of interest: in the particular case of meshes, the absence of point correspondence can be handled thanks to the current or varifold representations. In addition to standard computational anatomy functionalities such as shape registration or atlas estimation, a bayesian version of atlas model as well as temporal methods (geodesic regression and parallel transport) are readily available. Installation instructions, tutorials and examples can be found at http://www.deformetrica.org.
A. Bône and M. Louis—Equal contributions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Allassonnière, S., Kuhn, E., Trouvé, A.: Construction of bayesian deformable models via a stochastic approximation algorithm: a convergence study. Bernoulli 16(3), 641–678 (2010)
Bône, A., Colliot, O., Durrleman, S.: Learning distributions of shape trajectories from longitudinal datasets: a hierarchical model on a manifold of diffeomorphisms. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 9271–9280 (2018)
Bône, A., et al.: Prediction of the progression of subcortical brain structures in Alzheimer’s disease from baseline. In: Cardoso, M.J., et al. (eds.) GRAIL/MFCA/MICGen-2017. LNCS, vol. 10551, pp. 101–113. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-67675-3_10
Charlier, B., Feydy, J., Glaunès, J.A., Trouvé, A.: An efficient kernel product for automatic differentiation libraries, with applications to measure transport (2017)
Charon, N., Trouvé, A.: The varifold representation of nonoriented shapes for diffeomorphic registration. SIAM J. Imaging Sci. 6(4), 2547–2580 (2013)
Delyon, B., Lavielle, M., Moulines, E.: Convergence of a stochastic approximation version of the EM algorithm. Ann. Stat. 27, 94–128 (1999)
Durrleman, S., et al.: Morphometry of anatomical shape complexes with dense deformations and sparse parameters. NeuroImage 101, 35–49 (2014)
Fishbaugh, J., Prastawa, M., Gerig, G., Durrleman, S.: Geodesic regression of image and shape data for improved modeling of 4D trajectories. In: ISBI 2014–11th International Symposium on Biomedical Imaging, pp. 385–388, April 2014
Fletcher, T.: Geodesic regression on Riemannian manifolds. In: Proceedings of the Third International Workshop on Mathematical Foundations of Computational Anatomy-Geometrical and Statistical Methods for Modelling Biological Shape Variability, pp. 75–86 (2011)
Gori, P., et al.: A Bayesian framework for joint morphometry of surface and curve meshes in multi-object complexes. Med. Image Anal. 35, 458–474 (2017)
Kühnel, L., Sommer, S.: Computational anatomy in Theano. In: Cardoso, M.J., et al. (eds.) GRAIL/MFCA/MICGen-2017. LNCS, vol. 10551, pp. 164–176. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-67675-3_15
Liu, D.C., Nocedal, J.: On the limited memory BFGS method for large scale optimization. Math. Program. 45(1–3), 503–528 (1989)
Louis, Maxime, Bône, Alexandre, Charlier, Benjamin, Durrleman, Stanley: Parallel transport in shape analysis: a scalable numerical scheme. In: Nielsen, Frank, Barbaresco, Frédéric (eds.) GSI 2017. LNCS, vol. 10589, pp. 29–37. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-68445-1_4
Louis, M., Charlier, B., Jusselin, P., Susovan, P., Durrleman, S.: A fanning scheme for the parallel transport along geodesics on Riemannian manifolds. SIAM J. Numer. Anal. 56, 2563–2584 (2018)
Miller, M.I., Trouvé, A., Younes, L.: Geodesic shooting for computational anatomy. J. Math. Imaging Vis. 24(2), 209–228 (2006)
Paszke, A., et al.: Pytorch: tensors and dynamic neural networks in python with strong GPU acceleration, May 2017
Thompson, D.W., et al.: On growth and form (1942)
Vaillant, M., Glaunès, J.: Surface matching via currents. In: Christensen, G.E., Sonka, M. (eds.) IPMI 2005. LNCS, vol. 3565, pp. 381–392. Springer, Heidelberg (2005). https://doi.org/10.1007/11505730_32
Younes, L.: Shapes and Diffeomorphisms, vol. 171. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-12055-8
Zhang, M., Singh, N., Fletcher, P.T.: Bayesian estimation of regularization and atlas building in diffeomorphic image registration. IPMI 23, 37–48 (2013)
Acknowledgments
This work has been partly funded by the European Research Council (ERC) under grant agreement No 678304, European Union’s Horizon 2020 research and innovation program under grant agreement No. 666992, and the program Investissements d’avenir ANR-10-IAIHU-06.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Bône, A., Louis, M., Martin, B., Durrleman, S. (2018). Deformetrica 4: An Open-Source Software for Statistical Shape Analysis. In: Reuter, M., Wachinger, C., Lombaert, H., Paniagua, B., Lüthi, M., Egger, B. (eds) Shape in Medical Imaging. ShapeMI 2018. Lecture Notes in Computer Science(), vol 11167. Springer, Cham. https://doi.org/10.1007/978-3-030-04747-4_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-04747-4_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-04746-7
Online ISBN: 978-3-030-04747-4
eBook Packages: Computer ScienceComputer Science (R0)