메뉴 건너뛰기




Volumn 42, Issue 3, 2016, Pages 573-603

Metamorphosis of images in reproducing kernel Hilbert spaces

Author keywords

Adjoint methods; Deformable templates; Groups of diffeomorphisms; Metamorphosis; Shape analysis

Indexed keywords


EID: 84944908933     PISSN: 10197168     EISSN: 15729044     Source Type: Journal    
DOI: 10.1007/s10444-015-9435-y     Document Type: Article
Times cited : (28)

References (45)
  • 1
    • 84971371082 scopus 로고
    • Lectures of Smale on differential topology. Columbia University
    • Abraham, R.H., Smale, S.: Lectures of Smale on differential topology. Columbia University, Department of Mathematics (1963)
    • (1963) Department of Mathematics
    • Abraham, R.H.1    Smale, S.2
  • 5
    • 0001356905 scopus 로고
    • Sur la géométrie différentielle des groupes de lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits
    • Arnold, V.: 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(1), 319–361 (1966)
    • (1966) Annales de l’institut Fourier , vol.16 , Issue.1 , pp. 319-361
    • Arnold, V.1
  • 6
    • 84971426239 scopus 로고
    • Les méthodes mathématiques de la mécanique classique
    • Arnold, V.: Les méthodes mathématiques de la mécanique classique. Editions Mir (1976)
    • (1976) Editions Mir
    • Arnold, V.1
  • 8
    • 38849187993 scopus 로고    scopus 로고
    • Symmetric diffeomorphic image registration with cross-correlation: evaluating automated labeling of elderly and neurodegenerative brain
    • Avants, B.B., Epstein, C.L., Grossman, M., Gee, J.C.: Symmetric diffeomorphic image registration with cross-correlation: evaluating automated labeling of elderly and neurodegenerative brain. Med. Image Anal. 12(1), 26–41 (2008)
    • (2008) Med. Image Anal , vol.12 , Issue.1 , pp. 26-41
    • Avants, B.B.1    Epstein, C.L.2    Grossman, M.3    Gee, J.C.4
  • 9
    • 5444276422 scopus 로고    scopus 로고
    • Computing large deformation metric mappings via geodesic flows of diffeomorphisms
    • Faisal Beg, M., Miller, M.I., Trouvé, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int J. Comp. Vis. 61(2), 139–157 (2005)
    • (2005) Int J. Comp. Vis , vol.61 , Issue.2 , pp. 139-157
    • Faisal Beg, M.1    Miller, M.I.2    Trouvé, A.3    Younes, L.4
  • 10
    • 84867942761 scopus 로고    scopus 로고
    • Optimal transport, convection, magnetic relaxation and generalized boussinesq equations
    • Brenier, Y.: Optimal transport, convection, magnetic relaxation and generalized boussinesq equations. Journal of Nonlinear Science 19(5), 547–570 (2009)
    • (2009) Journal of Nonlinear Science , vol.19 , Issue.5 , pp. 547-570
    • Brenier, Y.1
  • 13
    • 0038134770 scopus 로고    scopus 로고
    • Geodesic interpolating splines. Energy Minimization Methods in Computer Vision and Pattern Recognition
    • Camion, V., Younes, L.: Geodesic interpolating splines. Energy Minimization Methods in Computer Vision and Pattern Recognition, Lecture Notes in Computer Science, pp 513–527 (2001)
    • (2001) Lecture Notes in Computer Science , pp. 513-527
    • Camion, V.1    Younes, L.2
  • 14
    • 0000362580 scopus 로고    scopus 로고
    • A fast adaptive multipole algorithm in three dimensions
    • Cheng, H., Greengard, L., Rokhlin, V.: A fast adaptive multipole algorithm in three dimensions. J. Comput. Phys. 155(2), 468–498 (1999)
    • (1999) J. Comput. Phys , vol.155 , Issue.2 , pp. 468-498
    • Cheng, H.1    Greengard, L.2    Rokhlin, V.3
  • 15
    • 0000893843 scopus 로고    scopus 로고
    • The fast multipole method: numerical implementation
    • Darve, E.: The fast multipole method: numerical implementation. J. Comput. Phys. 160(1), 195–240 (2000)
    • (2000) J. Comput. Phys , vol.160 , Issue.1 , pp. 195-240
    • Darve, E.1
  • 16
    • 2542438829 scopus 로고    scopus 로고
    • A variational approach to nonrigid morphological image registration
    • Droske, M., Rumpf, M.: A variational approach to nonrigid morphological image registration. SIAM J. Appl. Math. 64(2), 668–687 (2004)
    • (2004) SIAM J. Appl. Math , vol.64 , Issue.2 , pp. 668-687
    • Droske, M.1    Rumpf, M.2
  • 17
    • 36248953676 scopus 로고    scopus 로고
    • Multiscale joint segmentation and registration of image morphology
    • Droske, M., Rumpf, M.: Multiscale joint segmentation and registration of image morphology. IEEE Trans. Pattern Anal. Mach. Intell. 29(12), 2181–2194 (2007)
    • (2007) IEEE Trans. Pattern Anal. Mach. Intell , vol.29 , Issue.12 , pp. 2181-2194
    • Droske, M.1    Rumpf, M.2
  • 21
    • 48149107858 scopus 로고    scopus 로고
    • Fast multipole methods on graphics processors
    • Gumerov, N.A., Duraiswami, R.: Fast multipole methods on graphics processors. J. Comput. Phys. 227(18), 8290–8313 (2008)
    • (2008) J. Comput. Phys , vol.227 , Issue.18 , pp. 8290-8313
    • Gumerov, N.A.1    Duraiswami, R.2
  • 22
    • 4043173501 scopus 로고    scopus 로고
    • Optimal mass transport for registration and warping
    • Haker, S., Zhu, L., Tannenbaum, A., Angenent, S.: Optimal mass transport for registration and warping. Int. J. Comput. Vis. 60(3), 225–240 (2004)
    • (2004) Int. J. Comput. Vis , vol.60 , Issue.3 , pp. 225-240
    • Haker, S.1    Zhu, L.2    Tannenbaum, A.3    Angenent, S.4
  • 23
    • 33745675031 scopus 로고    scopus 로고
    • ParaView Guide, A Parallel Visualization Application
    • Henderson, A.: ParaView Guide, A Parallel Visualization Application. Kitware Inc. (2007)
    • (2007) Kitware Inc
    • Henderson, A.1
  • 24
    • 0001971504 scopus 로고    scopus 로고
    • The Euler–Poincaré equations and semidirect products with applications to continuum theories
    • Holm, D.D., Marsden, J.E., Ratiu, T.S.: The Euler–Poincaré equations and semidirect products with applications to continuum theories. Adv. Math. 137 (1), 1–81 (1998)
    • (1998) Adv. Math , vol.137 , Issue.1 , pp. 1-81
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.S.3
  • 25
    • 77953911169 scopus 로고    scopus 로고
    • The Euler-Poincare theory of metamorphosis
    • Holm, D.D., Trouvé, A., Younes, L.: The Euler-Poincare theory of metamorphosis. Quart. Appl. Math. 67, 661–685 (2009)
    • (2009) Quart. Appl. Math , vol.67 , pp. 661-685
    • Holm, D.D.1    Trouvé, A.2    Younes, L.3
  • 26
  • 27
    • 84872808687 scopus 로고    scopus 로고
    • A kernel class allowing for fast computations in shape spaces induced by diffeomorphisms
    • Jain, A., Younes, L.: A kernel class allowing for fast computations in shape spaces induced by diffeomorphisms. J. Comput. Appl. Math. 245, 162–181 (2013)
    • (2013) J. Comput. Appl. Math , vol.245 , pp. 162-181
    • Jain, A.1    Younes, L.2
  • 33
    • 0034980880 scopus 로고    scopus 로고
    • Group action, diffeomorphism and matching: a general framework
    • Miller, M.I., Younes, L.: Group action, diffeomorphism and matching: a general framework. Int. J. Comp. Vis. 41, 61–84 (2001)
    • (2001) Int. J. Comp. Vis , vol.41 , pp. 61-84
    • Miller, M.I.1    Younes, L.2
  • 34
    • 77951203607 scopus 로고    scopus 로고
    • Fredholm properties of Riemannian exponential maps on diffeomorphism groups
    • Misiołek, G., Preston, S.C.: Fredholm properties of Riemannian exponential maps on diffeomorphism groups. Invent. Math. 179(1), 191–227 (2010)
    • (2010) Invent. Math , vol.179 , Issue.1 , pp. 191-227
    • Misiołek, G.1    Preston, S.C.2
  • 37
    • 33144468544 scopus 로고    scopus 로고
    • Local geometry of deformable templates
    • Trouvé, A., Younes, L.: Local geometry of deformable templates. SIAM J. Math. Anal. 37(1), 17–59 (2005)
    • (2005) SIAM J. Math. Anal , vol.37 , Issue.1 , pp. 17-59
    • Trouvé, A.1    Younes, L.2
  • 38
    • 7044237462 scopus 로고    scopus 로고
    • Statistics on diffeomorphisms via tangent space representations
    • Vaillant, M., Miller, M.I., Trouv’e, A., Younes, L.: Statistics on diffeomorphisms via tangent space representations. Neuroimage 23(S1), S161—S169 (2004)
    • (2004) Neuroimage , vol.23 , Issue.S1 , pp. S161-S169
    • Vaillant, M.1    Miller, M.I.2    Trouv’e, A.3    Younes, L.4
  • 39
    • 63849264858 scopus 로고    scopus 로고
    • Diffeomorphic demons: efficient non-parametric image registration
    • Vercauteren, T., Pennec, X., Perchant, A., Ayache, N.: Diffeomorphic demons: efficient non-parametric image registration. NeuroImage 45(1), S61—S72 (2009)
    • (2009) NeuroImage , vol.45 , Issue.1 , pp. S61-S72
    • Vercauteren, T.1    Pennec, X.2    Perchant, A.3    Ayache, N.4
  • 42
    • 0003298544 scopus 로고
    • Spline models for observational data
    • Wahba, G.: Spline models for observational data. SIAM (1990)
    • (1990) SIAM
    • Wahba, G.1
  • 44
    • 0142074701 scopus 로고    scopus 로고
    • Large deformation diffeomorphism and momentum based hippocampal shape discrimination in dementia of the alzheimer type
    • Wang, L., Swank, J.S., Glick, I.E., Gado, M.H., Miller, M.I., Morris, J.C., Csernansky, J.G.: Large deformation diffeomorphism and momentum based hippocampal shape discrimination in dementia of the alzheimer type. NeuroImage 20, 667–682 (2003)
    • (2003) NeuroImage , vol.20 , pp. 667-682
    • Wang, L.1    Swank, J.S.2    Glick, I.E.3    Gado, M.H.4    Miller, M.I.5    Morris, J.C.6    Csernansky, J.G.7


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.