S. Arguillère, E. Trélat, A. Trouvé, and L. Younès, Shape deformation analysis from the optimal control viewpoint, Journal de Math??matiques Pures et Appliqu??es, vol.104, issue.1, pp.139-178, 2015.
DOI : 10.1016/j.matpur.2015.02.004

M. F. Beg, M. I. Miller, A. Trouvé, and L. Younes, Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms, International Journal of Computer Vision, vol.61, issue.2, pp.139-157, 2005.
DOI : 10.1023/B:VISI.0000043755.93987.aa

M. Bruveris, L. Risser, and F. X. Vialard, Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups, Multiscale Modeling & Simulation, vol.10, issue.4, pp.1344-1368, 2012.
DOI : 10.1137/110846324

URL : https://hal.archives-ouvertes.fr/hal-00869461

N. Charon, Analysis of geometric and fshapes with extension of currents. Application to registration and atlas estimation, ÉNS Cachan, 2013.

S. Durrleman, Statistical models of currents for measuring the variability of anatomical curves, surfaces and their evolution, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00631382

H. Federer, Curvature measures, Transactions of the American Mathematical Society, vol.93, issue.3, p.93, 1959.
DOI : 10.1090/S0002-9947-1959-0110078-1

J. Glaunès, Transport par difféomorphismes de points, de mesures et de courants pour la comparaison de formes et l'anatomie numérique, p.13, 2005.

J. Glaunès, A. Qiu, M. Miller, and L. Younes, Large Deformation Diffeomorphic Metric Curve Mapping, International Journal of Computer Vision, vol.13, issue.2, pp.317-336, 2008.
DOI : 10.1007/978-1-4615-3824-0_1

S. Lee, N. Charon, B. Charlier, K. Popuri, E. Lebed et al., Atlas-based shape analysis and classification of retinal optical coherence tomography images using the functional shape (fshape) framework, Medical Image Analysis, vol.35, pp.570-581
DOI : 10.1016/j.media.2016.08.012

S. Lee, S. X. Han, M. Young, M. F. Beg, M. V. Sarunic et al., Optic Nerve Head and Peripapillary Morphometrics in Myopic Glaucoma, Investigative Opthalmology & Visual Science, vol.55, issue.7, p.4378, 2014.
DOI : 10.1167/iovs.14-14227

D. C. Liu and J. Nocedal, On the limited memory BFGS method for large scale optimization, Mathematical Programming, vol.32, issue.2, pp.503-528, 1989.
DOI : 10.1007/BF01589116

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.6443

M. I. Miller, A. Trouvé, and L. Younes, Geodesic Shooting for Computational Anatomy, Journal of Mathematical Imaging and Vision, vol.13, issue.1???2, pp.209-228, 2006.
DOI : 10.1117/3.831079.ch3

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2897162

P. Roussillon and J. Glaunès, Kernel Metrics on Normal Cycles and Application to Curve Matching, SIAM Journal on Imaging Sciences, vol.9, issue.4, 1991.
DOI : 10.1137/16M1070529

URL : https://hal.archives-ouvertes.fr/hal-01305806

M. Vaillant and J. Glaunès, Surface Matching via Currents, Information Processing in Medical Imaging No. 3565 in Lecture Notes in Computer Science, pp.381-392, 2005.
DOI : 10.1007/11505730_32

URL : https://hal.archives-ouvertes.fr/hal-00263652

M. Zähle, Curvatures and currents for unions of set with positive reach, Geometriae Dedicata, vol.23, pp.155-171, 1987.