Barycenters of measures transported by stochastic flows. The annals of probability, vol.33, pp.1509-1543, 2005. ,
A Fast and Log-Euclidean Polyaffine Framework for Locally Linear Registration, Journal of Mathematical Imaging and Vision, vol.33, issue.2, pp.222-238, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00616084
A log-Euclidean framework for statistics on diffeomorphisms, Proc. of the 9th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'06), Part I, number 4190 in LNCS, vol.2, pp.924-931, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00615594
Polyrigid and Polyaffine Transformations: a Novel Geometrical Tool to Deal with Non-Rigid Deformations -Application to the registration of histological slices, Medical Image Analysis, vol.9, issue.6, pp.507-523, 2005. ,
URL : https://hal.archives-ouvertes.fr/inria-00615665
A fast diffeomorphic image registration algorithm, NeuroImage, vol.38, issue.1, pp.95-113, 2007. ,
Overview of the Geometries of Shape Spaces and Diffeomorphism Groups, Journal of Mathematical Imaging and Vision, vol.50, issue.1-2, pp.60-97, 2014. ,
Computing large deformation metric mappings via geodesic flows of diffeomorphisms, Int. Journal of Computer Vision, vol.61, issue.2, pp.139-157, 2005. ,
Contributions to 3D diffeomorphic atlas estimation: Application to brain images, Proc. of Medical Image Computing and Computer-Assisted Intervention, vol.4792, pp.667-674, 2007. ,
Gromov's almost flat manifolds. Number 81 in Astérisque. Société mathématique de France, 1981. ,
Isotropic energies, filters and splines for vector field regularization, Journal of Mathematical Imaging and Vision, vol.20, issue.3, pp.251-265, 2004. ,
Iconic feature based nonrigid registration: The pasha algorithm. Computer Vision and Image Understanding, vol.89, pp.272-298, 2003. ,
URL : https://hal.archives-ouvertes.fr/inria-00615633
, Riemannian geometry. Mathematics. Theory & applications. Birkhäuser, 1992.
On the geometry of the group-manifold of simple and semi-simple groups, Proc. Akad. Wekensch, vol.29, pp.803-815, 1926. ,
Assessing atrophy measurement techniques in dementia: Results from the MIRIAD atrophy challenge, NeuroImage, vol.123, pp.149-164, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01203573
Statistical shape analysis with applications in R. Wiley series in probability and statistics, 2016. ,
The geometry of free fall and light propagation, in O'Raifeartaigh. General Relativity, Papers in Honor of, 1972. ,
Principal geodesic analysis for the study of nonlinear statistics of shape, IEEE Transactions on Medical Imaging, vol.23, issue.8, pp.995-1005, 2004. ,
Logarithms and Square Roots of Real Matrices, 2008. ,
Newton's method, zeroes of vector fields, and the Riemannian center of mass, Adv. in Applied Math, vol.33, pp.95-135, 2004. ,
Longitudinal Analysis of Image Time Series with Diffeomorphic Deformations: A Computational Framework Based on Stationary Velocity Fields, Frontiers in Neuroscience, vol.10, issue.236, p.18, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01329989
Geometric numerical integration : structure preserving algorithm for ordinary differential equations, volume 31 of Springer series in computational mathematics, 2002. ,
Registration of Anatomical Images Using Paths of Diffeomorphisms Parameterized with Stationary Vector Field Flows, International Journal of Computer Vision, vol.85, issue.3, pp.291-306, 2009. ,
The scaling and squaring method for the matrix exponential revisited, SIAM Journal on Matrix Analysis and Applications, vol.26, issue.4, pp.1179-1193, 2005. ,
Approximating the logarithm of a matrix to specified accuracy, SIAM J. Matrix Anal. Appl, vol.22, issue.4, pp.1112-1125, 2001. ,
Lie-group methods, Acta numerica, vol.9, pp.215-365, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-01328729
Parallel Transport of Surface Deformations from Pole Ladder to Symmetrical Extension, ShapeMI MICCAI 2018: Workshop on Shape in Medical Imaging, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01860274
Condition estimates for matrix functions, SIAM J. Matrix Anal. Appl, vol.10, pp.191-209, 1989. ,
The Geometry of Infinite Dimensional Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol.51, 2009. ,
LCC-Demons: a robust and accurate symmetric diffeomorphic registration algorithm, NeuroImage, vol.81, issue.1, pp.470-483, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00819895
Schild's ladder for the parallel transport of deformations in time series of images, IPMI -22nd International Conference on Information Processing in Medical Images-2011, vol.6801, pp.463-474, 2011. ,
Regional flux analysis for discovering and quantifying anatomical changes: An application to the brain morphometry in Alzheimer's disease, NeuroImage, vol.115, pp.224-234, 2015. ,
Mapping the effects of A? 1?42 levels on the longitudinal changes in healthy aging: hierarchical modeling based on stationary velocity fields, Medical Image Computing and Computer-Assisted Intervention -MICCAI, vol.6892, pp.663-670, 2011. ,
Efficient Parallel Transport of Deformations in Time Series of Images: from Schild's to Pole Ladder, Journal of Mathematical Imaging and Vision, vol.50, issue.1-2, pp.5-17, 2013. ,
Geodesics, parallel transport & one-parameter subgroups for diffeomorphic image registration, International Journal of Computer Vision, vol.105, issue.2, pp.111-127, 2013. ,
URL : https://hal.archives-ouvertes.fr/inria-00623919
Disentangling normal aging from Alzheimer's disease in structural MR images, Neurobiology of Aging, vol.36, pp.42-52, 2015. ,
iLogDemons: A demons-based registration algorithm for tracking incompressible elastic biological tissues, International Journal of Computer Vision, vol.92, issue.1, pp.92-111, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00616187
Descriptive and Intuitive Population-Based Cardiac Motion Analysis via Sparsity Constrained Tensor Decomposition, Medical Image Computing and Computer Assisted Intervention, vol.9351, pp.419-426, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01205535
Spatio-Temporal Tensor Decomposition of a Polyaffine Motion Model for a Better Analysis of Pathological Left Ventricular Dynamics, IEEE Transactions on Medical Imaging, vol.34, issue.7, pp.1562-1675, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01205342
Cardiac Motion Evolution Model for Analysis of Functional Changes Using Tensor Decomposition and Cross-Sectional Data, IEEE Transactions on Biomedical Engineering, vol.65, issue.12, pp.2769-2780, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01736454
Geomstats: A Python Package for Riemannian Geometry in Machine Learning, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-01974572
Log-euclidean free-form deformation, Proc. of SPIE Medical Imaging, 2011. ,
Fast free-form deformation using graphics processing units, Computer Methods and Programs in Biomedicine, vol.98, issue.3, pp.278-284, 2010. ,
L'incertitude dans les problèmes de reconnaissance et de recalage -Applications en imagerie médicale et biologie moléculaire, 1996. ,
, Probabilities and Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements, vol.1, pp.194-198, 1999.
Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements, Journal of Mathematical Imaging and Vision, vol.25, issue.1, pp.127-154, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00614994
Barycentric Subspace Analysis on Manifolds, Annals of Statistics, vol.46, issue.6A, pp.2711-2746, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01343881
Parallel Transport with Pole Ladder: a Third Order Scheme in Affine Connection Spaces which is Exact in Affine Symmetric Spaces, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01799888
Exponential barycenters of the canonical Cartan connection and invariant means on Lie groups, Matrix Information Geometry, pp.123-168, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00699361
Uniform distribution, distance and expectation problems for geometric features processing, Journal of Mathematical Imaging and Vision, vol.9, issue.1, pp.49-67, 1998. ,
URL : https://hal.archives-ouvertes.fr/inria-00615085
A Riemannian Framework for Tensor Computing, International Journal of Computer Vision, vol.66, issue.1, pp.41-66, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00070743
Beyond Riemannian: the affine connection setting for transformation groups, Riemannian Geometric Statistics in Medical Image Analysis, number Chap. 5, pp.169-229, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02342137
Riemannian Geometric Statistics in Medical Image Analysis, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02341896
Registration of 4D timeseries of cardiac images with multichannel diffeomorphic demons, Medical Image Computing and Computer-Assisted Intervention -MICCAI, vol.5242, pp.972-979, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00616122
Combination of Polyaffine Transformations and Supervised Learning for the Automatic Diagnosis of LV Infarct, Statistical Atlases and Computational Modeling of the Heart (STACOM 2015), 2015. ,
Geometry-aware multiscale image registration via OBBTree-based polyaffine log-demons, Medical Image Computing and Computer-Assisted Intervention -MICCAI 2011, vol.6893, pp.631-638, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00616215
Capturing the Multiscale Anatomical Shape Variability with Polyaffine Transformation Trees, Medical Image Analysis, vol.16, issue.7, pp.1371-1384, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00813866
Diffeomorphisms groups and pattern matching in image analysis, International Journal of Computer Vision, vol.28, issue.3, pp.213-221, 1998. ,
Non-parametric diffeomorphic image registration with the Demons algorithm, Proc. of Medical Image Computing and Computer-Assisted Intervention (MICCAI 2007), pp.319-326, 2007. ,
URL : https://hal.archives-ouvertes.fr/inria-00166123
Symmetric Log-domain diffeomorphic registration: A Demons-based approach, Proc. of Medical Image Computing and Computer-Assisted Intervention -MICCAI, vol.5241, pp.754-761, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00280602
Diffeomorphic demons: Efficient non-parametric image registration, NeuroImage, vol.45, issue.1, pp.61-72, 2009. ,
URL : https://hal.archives-ouvertes.fr/inserm-00349600
Shapes and diffeomorphisms. Number v. 171 in Applied mathematical sciences, 2010. ,