References
-
U. Grenander and M. Miller.
Computational anatomy: An emerging discipline.
Quarterly of Applied Mathematics, 56(4):617 -- 694, 1998.
-
D. D. Holm, J. E. Marsden, and T. S. Ratiu.
The Euler--Poincare equations and semidirect products, with
applications to continuum theories.
Advances in Mathematics, 137(1):1--81, 1998.
doi:10.1006/aima.1998.1721
-
D. D. Holm, J. T. Ratnanather, A. Trouve, and L. Younes.
Soliton dynamics in computational anatomy.
NeuroImage, 23(Supplement 1):S170--S178, 2004.
doi:10.1016/j.neuroimage.2004.07.017
-
S. Joshi and M. Miller.
Landmark matching via large deformation diffeomorphisms.
{IEEE} Transactions on Image Processing, 9(8):1357--1370, 2000.
doi:10.1109/83.855431
-
S. Marsland and C. Twining.
Constructing data-driven optimal representations for iterative
pairwise non-rigid registration.
In Second International Workshop on Biomedical Image Registration, number 2717 in Lecture Notes in Computer Science, pages
50--60. Springer, 2003.
-
S. Marsland and C. Twining.
Constructing diffeomorphic representations for the groupwise analysis
of non-rigid registrations of medical images.
IEEE Transactions on Medical Imaging, 23(8):1006--1020, 2004.
doi:10.1109/TMI.2004.831228
-
M. Miller, A. Trouve, and L. Younes.
On metrics and the Euler--Lagrange equations of computational
anatomy.
Annual Reviews in Biomedical Eng., 4:375 -- 405, 2002.
-
D. Mumford.
Pattern Theory and Vision, chapter 3, pages 7--13.
Institute Henri Poincare, Paris, 1998.
-
D. Rueckert, L. Sonoda, C. Hayes, D. Hill, M. Leach, and D. Hawkes.
Non-rigid registration using free-form deformations: {A}pplication to
breast {MR} images.
IEEE Transactions on Medical Imaging, 18(8):712--721, 1999.
doi:10.1109/42.796284
-
A. W. Toga.
Brain Warping.
Academic Press, 1999.
-
V. I. Arnold.
Sur la geometrie differentielle des groupes de Lie de
dimension infinie et ses applications a l'hydrodynamique des fluides
parfaits.
Annales de L'Institut Fourier (Grenoble), 16(1):319--361, 1966.
-
P. Viola and W. M. Wells III.
Alignment by maximization of mutual information.
International Journal of Computer Vision, 24(2):137--154, 1997.
doi:10.1023/A:1007958904918
-
M. F. Beg, M. I. Miller, A. Trouve, and L. Younes.
Computing large deformation metric mappings via geodesic flows of
diffeomorphisms.
International Journal of Computer Vision, 61(2):139--157,
February 2005. doi:10.1023/B:VISI.0000043755.93987.aa
-
V. Camion and L. Younes.
Geodesic interpolating splines.
In M. Figueiredo, J. Zerubia, and A. K. Jain, editors, EMMCVPR'01, volume 2134 of Lecture Notes in Computer Science, pages 513--527. Springer-Verlag, 2001.
-
J. Gee, M. Reivich, and R. Bajcsy.
Elastically deforming 3D atlas to match anatomical brain images.
Journal of Computer Assisted Tomography, 17(2):225--236, 1993.
doi:10.1097/00004728-199303000-00010