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Volumn 17, Issue 2, 2017, Pages 287-357

The Fshape Framework for the Variability Analysis of Functional Shapes

Author keywords

Atlas estimation algorithms; Large deformation models; Metamorphoses; Shape analysis; Signals on manifolds; Varifolds

Indexed keywords

ESTIMATION; MATHEMATICAL TRANSFORMATIONS;

EID: 84947591368     PISSN: 16153375     EISSN: 16153383     Source Type: Journal    
DOI: 10.1007/s10208-015-9288-2     Document Type: Article
Times cited : (44)

References (38)
  • 1
    • 85016251596 scopus 로고    scopus 로고
    • W. Allard. On the first variation of a varifold. Annals of mathematics, 95(3), 1972.
  • 2
    • 85016329175 scopus 로고
    • 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
  • 4
    • 0001356905 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 9
    • 85016263754 scopus 로고    scopus 로고
    • B. Charlier, N. Charon, and A. Trouvé., 2014–2015.
    • B. Charlier, N. Charon, and A. Trouvé. A short introduction to the functional shapes toolkit. https://github.com/fshapes/fshapesTk/, 2014–2015.
    • A short introduction to the functional shapes toolkit
  • 10
    • 85016268670 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • Geometric measure theory, Springer
    • H. Federer. Geometric measure theory. Springer, 1969.
    • (1969) Federer
  • 16
    • 85016231764 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 21
    • 85016317782 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 28
    • 84916889580 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • A. Trouvé and L. Younes. Handbook of Mathematical Imaging, chapter Shape spaces, pages 1309–1362. Springer, 2011.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.