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
Theory of reproducing kernels, Transactions of the, pp.337-404, 1950. ,
Diffeomorphic Brain Registration Under Exhaustive Sulcal Constraints, IEEE Transactions on Medical Imaging, vol.30, issue.6, pp.1214-1227, 2011. ,
DOI : 10.1109/TMI.2011.2108665
URL : https://hal.archives-ouvertes.fr/hal-00793675
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms, International Journal of Computer Vision, vol.61, issue.2, pp.61-139, 2005. ,
DOI : 10.1023/B:VISI.0000043755.93987.aa
On some aspects of curvature ,
Principal warps: thin-plate splines and the decomposition of deformations, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.11, issue.6, pp.567-585, 1989. ,
DOI : 10.1109/34.24792
Functional analysis, Sobolev spaces and partial differential equations, 2011. ,
DOI : 10.1007/978-0-387-70914-7
VECTOR VALUED REPRODUCING KERNEL HILBERT SPACES AND UNIVERSALITY, Analysis and Applications, vol.08, issue.01, 2008. ,
DOI : 10.1142/S0219530510001503
The Fshape Framework for the Variability Analysis of Functional Shapes, Foundations of Computational Mathematics, vol.5, issue.1, pp.1-71, 2015. ,
DOI : 10.1007/s10208-015-9288-2
URL : https://hal.archives-ouvertes.fr/hal-00981805
The matching problem between functional shapes via a BV-penalty term: a gamma-convergence result, 2015. ,
Analysis of geometric and functionnal shapes with extension of currents. Application to registration and atlas estimation, 2013. ,
The Varifold Representation of Nonoriented Shapes for Diffeomorphic Registration, SIAM Journal on Imaging Sciences, vol.6, issue.4, pp.2547-2580, 2013. ,
DOI : 10.1137/130918885
Stability of curvature measures, CoRR, abs/0812, p.1390, 2008. ,
Restricted delaunay triangulations and normal cycle, Proceedings of the nineteenth conference on Computational geometry , SCG '03, 2003. ,
DOI : 10.1145/777792.777839
Statistical models of currents for measuring the variability of anatomical curves, surfaces and their evolution, 2010. ,
URL : https://hal.archives-ouvertes.fr/tel-00631382
Curvature measures, Transactions of the American Mathematical Society, vol.93, issue.3, 1959. ,
DOI : 10.1090/S0002-9947-1959-0110078-1
Geometric Measure Theory, 1969. ,
DOI : 10.1007/978-3-642-62010-2
Convergence of curvatures in secant approximations, Journal of Differential Geometry, vol.37, issue.1, 1991. ,
DOI : 10.4310/jdg/1214453427
Curvature Measures of Subanalytic Sets, American Journal of Mathematics, vol.116, issue.4, 1994. ,
DOI : 10.2307/2375003
Notes on Spherical Harmonics and Linear Representations of Lie Groups, 2013. ,
Transport par difféomorphismes de points, de mesures et de courants pour la comparaison de formes et l'anatomie numérique, 2005. ,
Large Deformation Diffeomorphic Metric Curve Mapping, International Journal of Computer Vision, vol.13, issue.2, pp.317-336, 2008. ,
DOI : 10.1007/s11263-008-0141-9
On the limited memory BFGS method for large scale optimization, Mathematical Programming, pp.503-52810, 1989. ,
DOI : 10.1007/BF01589116
Matrix-valued kernels for shape deformation analysis, Geometry, Imaging and Computing, vol.1, issue.1, pp.57-139, 2014. ,
DOI : 10.4310/GIC.2014.v1.n1.a2
URL : https://hal.archives-ouvertes.fr/hal-00857313
Geodesic Shooting for Computational Anatomy, Journal of Mathematical Imaging and Vision, vol.13, issue.1???2, pp.209-228, 2006. ,
DOI : 10.1007/s10851-005-3624-0
What is the area of a surface? The American Mathematical Monthly, pp.139-141, 1943. ,
Curvatures and currents for unions of sets with positive reach, ii, Annals of Global Analysis and Geometry, pp.1-21 ,
50 years sets with positive reach, a survey, Surveys in Mathematics and its Applications, 2008. ,
Surface Matching via Currents, Information Processing in Medical Imaging 3565 in Lecture Notes in Computer Science, pp.381-392, 2005. ,
DOI : 10.1007/11505730_32
URL : https://hal.archives-ouvertes.fr/hal-00263652
Optimal Interpolation in Semi-Hilbert Spaces, 2003. ,
Integral and current representation of Federer's curvature measure, Arch. Maths, vol.23, pp.557-567, 1986. ,
Curvatures and currents for unions of set with positive reach, Geometriae Dedicata, vol.23, pp.155-171, 1987. ,