-
1
-
-
85016251596
-
-
W. Allard. On the first variation of a varifold. Annals of mathematics, 95(3), 1972.
-
-
-
-
2
-
-
85016329175
-
-
Plateau’s Problem: An Invitation to Varifold Geometry. Student Mathematical Library
-
F. Almgren. Plateau’s Problem: An Invitation to Varifold Geometry. Student Mathematical Library, 1966.
-
(1966)
Almgren
-
-
-
3
-
-
84930087131
-
Shape deformation analysis from the optimal control viewpoint
-
S. Arguillere, E. Trélat, A. Trouvé, and L. Younes. Shape deformation analysis from the optimal control viewpoint. Journal de Mathématiques Pures et Appliquées, 104(1):139–178, July 2015.
-
(2015)
Journal de Mathématiques Pures et Appliquées
, vol.104
, Issue.1
, pp. 139-178
-
-
Arguillere, S.1
Trélat, E.2
Trouvé, A.3
Younes, L.4
-
4
-
-
0001356905
-
Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits
-
V. Arnold. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits. Annales de l’Institut Fourier, 16(2):319–361, 1966.
-
(1966)
Annales de l’Institut Fourier
, vol.16
, Issue.2
, pp. 319-361
-
-
Arnold, V.1
-
5
-
-
5844297152
-
Theory of reproducing kernels
-
N. Aronszajn. Theory of reproducing kernels. Trans. Amer. Math. Soc., 68:337–404, 1950.
-
(1950)
Trans. Amer. Math. Soc.
, vol.68
, pp. 337-404
-
-
Aronszajn, N.1
-
6
-
-
5444276422
-
-
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, 61(139–157), 2005.
-
-
-
-
7
-
-
84871848217
-
Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups
-
M. Bruveris, L. Risser, and F. Vialard. Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups. Multiscale Modeling and Simulation, 10(4):1344–1368, 2012.
-
(2012)
Multiscale Modeling and Simulation
, vol.10
, Issue.4
, pp. 1344-1368
-
-
Bruveris, M.1
Risser, L.2
Vialard, F.3
-
8
-
-
77950188618
-
Vector valued reproducing kernel hilbert spaces and universality
-
C. Carmeli, E. De Vito, A. Toigo, and V. Umanita. Vector valued reproducing kernel hilbert spaces and universality. Analysis and Applications, 8(01):19–61, 2010.
-
(2010)
Analysis and Applications
, vol.8
, Issue.1
, pp. 19-61
-
-
Carmeli, C.1
De Vito, E.2
Toigo, A.3
Umanita, V.4
-
10
-
-
85016268670
-
-
PhD thesis, ENS Cachan
-
N. Charon. Analysis of geometric and functional shapes with extensions of currents. Application to registration and atlas estimation. PhD thesis, ENS Cachan, 2013.
-
(2013)
Application to registration and atlas estimation
-
-
-
11
-
-
84899418624
-
Functional currents: a new mathematical tool to model and analyse functional shapes
-
N. Charon and A. Trouvé. Functional currents: a new mathematical tool to model and analyse functional shapes. JMIV, 48(3):413–431, 2013.
-
(2013)
JMIV
, vol.48
, Issue.3
, pp. 413-431
-
-
Charon, N.1
Trouvé, A.2
-
12
-
-
84891282712
-
The varifold representation of non-oriented shapes for diffeomorphic registration
-
N. Charon and A. Trouvé. The varifold representation of non-oriented shapes for diffeomorphic registration. SIAM journal of Imaging Science, 6(4):2547–2580, 2013.
-
(2013)
SIAM journal of Imaging Science
, vol.6
, Issue.4
, pp. 2547-2580
-
-
Charon, N.1
Trouvé, A.2
-
13
-
-
0032162543
-
Variational problems on flows of diffeomorphisms for image matching
-
P. Dupuis, U. Grenander, and M. I. Miller. Variational problems on flows of diffeomorphisms for image matching. Quarterly of applied mathematics, 56(3):587, 1998.
-
(1998)
Quarterly of applied mathematics
, vol.56
, Issue.3
, pp. 587
-
-
Dupuis, P.1
Grenander, U.2
Miller, M.I.3
-
14
-
-
85016286951
-
PhD thesis
-
S. Durrleman. Statistical models of currents for measuring the variability of anatomical curves, surfaces and their evolution. PhD thesis, Inria Sophia Antipolis, 2009.
-
(2009)
Inria Sophia Antipolis
-
-
-
15
-
-
85016279953
-
-
Geometric measure theory, Springer
-
H. Federer. Geometric measure theory. Springer, 1969.
-
(1969)
Federer
-
-
-
16
-
-
85016231764
-
-
J. Glaunès. Transport par difféomorphismes de points, de mesures et de courants pour la comparaison de formes et l’anatomie numérique. PhD thesis, Université Paris 13, 2005.
-
(2005)
PhD thesis, Université Paris
, pp. 13
-
-
-
18
-
-
33646545175
-
-
J. Glaunès and M. Vaillant. Surface matching via currents. Proceedings of Information Processing in Medical Imaging (IPMI), Lecture Notes in Computer Science, 3565(381–392), 2006.
-
-
-
-
19
-
-
7044260966
-
Unbiased diffeomorphic atlas construction for computational anatomy
-
S. Joshi, B. Davis, M. Jomier, and G. Gerig. Unbiased diffeomorphic atlas construction for computational anatomy. NeuroImage, 23:S151–S160, 2004.
-
(2004)
NeuroImage
, vol.23
, pp. S151-S160
-
-
Joshi, S.1
Davis, B.2
Jomier, M.3
Gerig, G.4
-
20
-
-
84876532538
-
Comparative analysis of repeatability of manual and automated choroidal thickness measurements in nonneovascular age-related macular degeneration
-
S. Lee, N. Fallah, F. Forooghian, A. Ko, K. Pakzad-Vaezi, A. B. Merkur, A. W. Kirker, D. A. Albiani, M. Young, M. V. Sarunic, and M. F. Beg. Comparative analysis of repeatability of manual and automated choroidal thickness measurements in nonneovascular age-related macular degeneration. Investigative Ophthalmology and Vision Science, 53(5):2864–2871, 2013.
-
(2013)
Investigative Ophthalmology and Vision Science
, vol.53
, Issue.5
, pp. 2864-2871
-
-
Lee, S.1
Fallah, N.2
Forooghian, F.3
Ko, A.4
Pakzad-Vaezi, K.5
Merkur, A.B.6
Kirker, A.W.7
Albiani, D.A.8
Young, M.9
Sarunic, M.V.10
Beg, M.F.11
-
21
-
-
85016317782
-
-
S. Lee, S. X. Han, M. Young, M. F. Beg, M. V. Sarunic, and P. J. Mackenzie. Optic nerve head and peripapillary morphometrics in myopic glaucoma. preprint, 2014.
-
-
-
-
22
-
-
45849088792
-
Bayesian template estimation in computational anatomy
-
J. Ma, M. I. Miller, A. Trouvé, and L. Younes. Bayesian template estimation in computational anatomy. NeuroImage, 42(1):252 – 261, 2008.
-
(2008)
NeuroImage
, vol.42
, Issue.1
, pp. 252-261
-
-
Ma, J.1
Miller, M.I.2
Trouvé, A.3
Younes, L.4
-
23
-
-
77957846674
-
A bayesian generative model for surface template estimation
-
J. Ma, M. I. Miller, and L. Younes. A bayesian generative model for surface template estimation. Journal of Biomedical Imaging, 2010:16, 2010.
-
(2010)
Journal of Biomedical Imaging
, vol.2010
, pp. 16
-
-
Ma, J.1
Miller, M.I.2
Younes, L.3
-
24
-
-
84879907676
-
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds
-
M. Micheli, P. W. Michor, and D. Mumford. Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Izvestiya: Mathematics, 77(3):541, 2013.
-
(2013)
Izvestiya: Mathematics
, vol.77
, Issue.3
, pp. 541
-
-
Micheli, M.1
Michor, P.W.2
Mumford, D.3
-
26
-
-
0036403673
-
On the metrics and euler-lagrange equations of computational anatomy
-
M. I. Miller, A. Trouvé, and L. Younes. On the metrics and euler-lagrange equations of computational anatomy. Annual Review of Biomedical Engineering, 4(1):375–405, 2002.
-
(2002)
Annual Review of Biomedical Engineering
, vol.4
, Issue.1
, pp. 375-405
-
-
Miller, M.I.1
Trouvé, A.2
Younes, L.3
-
27
-
-
33645217640
-
Geodesic Shooting for Computational Anatomy
-
M. I. Miller, A. Trouvé, and L. Younes. Geodesic Shooting for Computational Anatomy. Journal of Mathematical Imaging and Vision, 24(2):209–228, 2006.
-
(2006)
Journal of Mathematical Imaging and Vision
, vol.24
, Issue.2
, pp. 209-228
-
-
Miller, M.I.1
Trouvé, A.2
Younes, L.3
-
28
-
-
84916889580
-
Diffeomorphometry and geodesic positioning systems for human anatomy
-
M. I. Miller, L. Younes, and A. Trouvé. Diffeomorphometry and geodesic positioning systems for human anatomy. TECHNOLOGY, 2(1):36–43, 2014.
-
(2014)
TECHNOLOGY
, vol.2
, Issue.1
, pp. 36-43
-
-
Miller, M.I.1
Younes, L.2
Trouvé, A.3
-
29
-
-
85016278961
-
-
Geometric measure theory, a beginner’s guide, Academic Press
-
F. Morgan. Geometric measure theory, a beginner’s guide. Academic Press, 1995.
-
(1995)
Morgan
-
-
-
30
-
-
85016236606
-
-
Lecture notes on geometric measure theory, Australian national university
-
L. Simon. Lecture notes on geometric measure theory. Australian national university, 1983.
-
(1983)
Simon
-
-
-
31
-
-
80052200086
-
-
B. K. Sriperumbudur, K. Fukumizu, and G. Lanckriet. On the relation between universality, characteristic kernels and RKHS embedding of measures. In Proceedings of the Thirteenth International Conference on Artificial Intelligence and Statistics (AISTATS-10), volume 9, pages 773–780, 2010.
-
-
-
-
32
-
-
84954429184
-
-
B. Thibert. Sur l’approximation géométrique d’une surface lisse. Applications en géologie structurale. PhD thesis, Université Claude Bernard - Lyon 1, 2003.
-
(2003)
PhD thesis, Université Claude Bernard - Lyon
, pp. 1
-
-
-
33
-
-
85016244484
-
-
An approach of pattern recognition through infinite dimensional group action, Rapport de recherche du LMENS
-
A. Trouvé. An approach of pattern recognition through infinite dimensional group action. Rapport de recherche du LMENS, 1995.
-
(1995)
Trouvé
-
-
-
34
-
-
0032115435
-
Diffeomorphisms groups and pattern matching in image analysis
-
A. Trouvé. Diffeomorphisms groups and pattern matching in image analysis. Intern. Jour. of Computer Vision, 28(3):213–221, 1998.
-
(1998)
Intern. Jour. of Computer Vision
, vol.28
, Issue.3
, pp. 213-221
-
-
Trouvé, A.1
-
37
-
-
85016294575
-
-
A. Trouvé and L. Younes. Handbook of Mathematical Imaging, chapter Shape spaces, pages 1309–1362. Springer, 2011.
-
-
-
|