Y. Stéphanie-allassonnière, A. Amit, and . Trouvé, Towards a coherent statistical framework for dense deformable template estimation, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.69, issue.1, pp.3-29, 2007.

A. Bhattacharya, R. B. Michael, I. Miller, A. Trouvé, and L. Younes, Statistics on riemannian manifolds: asymptotic distribution and curvature [BC11] Jérémie Bigot and Benjamin Charlier. On the consistency of fréchet means in deformable models for curve and image analysis Computing large deformation metric mappings via geodesic flows of diffeomorphisms, Proceedings of the American Mathematical Society Electronic Journal of Statistics International journal of computer vision, vol.136, issue.52, pp.2959-29671054, 2005.
DOI : 10.1090/s0002-9939-08-09445-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.3229

W. Cheng, L. Ian, X. Dryden, and . Huang, Bayesian Registration of Functions and Curves, ESAIM: Probability and Statistics, pp.447-475635, 2013.
DOI : 10.1214/15-BA957SUPP
URL : http://arxiv.org/abs/1311.2105

F. Timothy, S. Cootes, C. J. Marsland, K. Twining, . Smith et al., Groupwise diffeomorphic non-rigid registration for automatic model building, European conference on computer vision, pp.316-327, 2004.

W. James, . Cooley, W. John, and . Tukey, An algorithm for the machine calculation of complex fourier series, Mathematics of computation, vol.19, issue.90, pp.297-301, 1965.

[. Devilliers, S. Allassonnière, A. Trouvé, and X. Pennec, Template estimation in computational anatomy: Fréchet means in top and quotient spaces are not consistent, SIAM Journal on Imaging Sciences, 2017.

[. Devilliers, X. Pennec, and S. Allassonnière, Inconsistency of Template Estimation with the Fr?chet Mean in Quotient Space, Information Processing in Medical Imaging 2017 Martin Styner and Marc Niethammer and Dinggang Shen and Stephen Aylward and Ipek Oguz and Hongtu Zhu, 2017.
DOI : 10.1214/15-AOS1387

M. Stanley-durrleman, N. Prastawa, J. R. Charon, S. Korenberg, G. Joshi et al., Morphometry of anatomical shape complexes with dense deformations and sparse parameters, NeuroImage, vol.101, pp.35-49, 2014.
DOI : 10.1016/j.neuroimage.2014.06.043

[. Glasbey and K. Mardia, A penalized likelihood approach to image warping, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.63, issue.3, pp.465-492, 2001.
DOI : 10.1111/1467-9868.00295

J. [. Guimond, J. Meunier, and . Thirion, Average Brain Models: A Convergence Study, Computer Vision and Image Understanding, vol.77, issue.2, pp.192-210, 2000.
DOI : 10.1006/cviu.1999.0815
URL : https://hal.archives-ouvertes.fr/inria-00072934

C. Goodall, Procrustes methods in the statistical analysis of shape, Journal of the Royal Statistical Society. Series B (Methodological), pp.285-339, 1991.

M. Sebastian-hitziger, A. Clerc, S. Gramfort, C. Saillet, T. Bénar et al., Jitter-adaptive dictionary learning-application to multi-trial neuroelectric signals Inference on 3d procrustes means: Tree bole growth, rank deficient diffusion tensors and perturbation models, Scandinavian Journal of Statistics, vol.38, issue.3, pp.424-446, 2011.

[. Joshi, B. Davis, M. Jomier, and G. Gerig, Unbiased diffeomorphic atlas construction for computational anatomy, NeuroImage, vol.23, pp.151-160, 2004.
DOI : 10.1016/j.neuroimage.2004.07.068
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.3808

E. Sebastian-kurtek, Z. Klassen, . Ding, J. Malcolm, A. Avison et al., Parameterization-invariant shape statistics and probabilistic classification of anatomical surfaces, Biennial International Conference on Information Processing in Medical Imaging, pp.147-158, 2011.

S. Kullback, A. Richard, and . Leibler, On information and sufficiency. The annals of mathematical statistics, pp.79-86, 1951.
DOI : 10.1214/aoms/1177729694

A. Sebastian, A. Kurtek, W. Srivastava, and . Wu, Signal estimation under random time-warpings and nonlinear signal alignment, Advances in Neural Information Processing Systems 24, pp.675-683, 2011.

H. Lombaert, L. Grady, X. Pennec, N. Ayache, and F. Cheriet, Spectral Log-Demons: Diffeomorphic Image Registration with Very Large Deformations, International Journal of Computer Vision, vol.14, issue.4, pp.1-18, 2013.
DOI : 10.1016/j.media.2010.04.003
URL : https://hal.archives-ouvertes.fr/hal-00979616

[. Miolane, S. Holmes, and X. Pennec, Template Shape Estimation: Correcting an Asymptotic Bias, SIAM Journal on Imaging Sciences, vol.10, issue.2, 2016.
DOI : 10.1137/16M1084493
URL : https://hal.archives-ouvertes.fr/hal-01350508

M. Victor, Y. Panaretos, and . Zemel, Amplitude and phase variation of point processes. The Annals of Statistics Bias and error in estimates of mean shape in geometric morphometrics, Roh03] F James Rohlf, pp.771-812, 2003.

[. Thompson, On growth and form. On growth and form, 1942.

[. Ziezold, On Expected Figures and a Strong Law of Large Numbers for Random Elements in Quasi-Metric Spaces, Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians, pp.591-602, 1977.
DOI : 10.1007/978-94-010-9910-3_63