메뉴 건너뛰기




Volumn 6, Issue 4, 2013, Pages 2547-2580

The varifold representation of nonoriented shapes for diffeomorphic registration

Author keywords

Geometric measure theory; Large deformation registration; Reproducing kernels; Shape analysis; Varifolds

Indexed keywords

GEOMETRIC MEASURE THEORY; LARGE DEFORMATION REGISTRATION; REPRODUCING KERNEL; SHAPE ANALYSIS; VARIFOLDS;

EID: 84891282712     PISSN: None     EISSN: 19364954     Source Type: Journal    
DOI: 10.1137/130918885     Document Type: Article
Times cited : (148)

References (27)
  • 1
    • 1442336159 scopus 로고    scopus 로고
    • Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
    • P. A. Absil, R. Mahony, and R. Sepulchre, Riemannian geometry of Grassmann manifolds with a view on algorithmic computation, Acta Appl. Math., 80 (2004), pp. 199-220.
    • (2004) Acta Appl. Math. , vol.80 , pp. 199-220
    • Absil, P.A.1    Mahony, R.2    Sepulchre, R.3
  • 2
    • 0001246518 scopus 로고
    • On the first variation of a varifold
    • W. Allard, On the first variation of a varifold, Ann. of Math. (2), 95 (1972), pp. 417-491.
    • (1972) Ann. of Math. (2) , vol.95 , pp. 417-491
    • Allard, W.1
  • 3
    • 84891319303 scopus 로고    scopus 로고
    • Plateau's Problem: An Invitation to Varifold Geometry. Corrected Reprint of the 1966 Original
    • AMS, Providence, RI
    • F. Almgren, Plateau's Problem: An Invitation to Varifold Geometry. Corrected Reprint of the 1966 Original, Stud. Math. Libr. 13, AMS, Providence, RI, 2001.
    • (2001) Stud. Math. Libr. , vol.13
    • Almgren, F.1
  • 4
    • 5444276422 scopus 로고    scopus 로고
    • Computing large deformation metric mappings via geodesic flows of diffeomorphisms
    • M. Beg, M. Miller, A. Trouvé, and L. Younes, Computing large deformation metric mappings via geodesic flows of diffeomorphisms, Int. J. Comput. Vis., 61 (2005), pp. 139-157.
    • (2005) Int. J. Comput. Vis. , vol.61 , pp. 139-157
    • Beg, M.1    Miller, M.2    Trouvé, A.3    Younes, L.4
  • 6
    • 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, Anal. Appl., 8 (2010), pp. 19-61.
    • (2010) Anal. Appl. , vol.8 , pp. 19-61
    • Carmeli, C.1    De Vito, E.2    Toigo, A.3    Umanita, V.4
  • 7
    • 84899418624 scopus 로고    scopus 로고
    • Functional currents: A new mathematical tool to model and analyse functional shapes
    • DOI 10.1007/s10851-012-0413-4
    • N. Charon and A. Trouvé, Functional currents: A new mathematical tool to model and analyse functional shapes, J. Math. Imaging Vision, (2013), DOI 10.1007/s10851-012-0413-4.
    • (2013) J. Math. Imaging Vision
    • Charon, N.1    Trouvé, A.2
  • 8
    • 0038714740 scopus 로고    scopus 로고
    • Restricted Delaunay triangulations and normal cycle
    • in, ACM, New York, also available online from
    • D. Cohen-Steiner and J. Morvan, Restricted Delaunay triangulations and normal cycle, in Proceedings of the 19th Annual Symposium on Computational Geometry, ACM, New York, 2003, pp. 312-321; also available online from http://dl.acm.org/citation.cfm?id=777839.
    • (2003) Proceedings of the 19th Annual Symposium on Computational Geometry , pp. 312-321
    • Cohen-Steiner, D.1    Morvan, J.2
  • 11
    • 79952072751 scopus 로고    scopus 로고
    • Registration, atlas estimation and variability analysis of white matter fiber bundles modeled as currents
    • S. Durrleman, P. Fillard, X. Pennec, A. Trouvé, and N. Ayache, Registration, atlas estimation and variability analysis of white matter fiber bundles modeled as currents, NeuroImage, 55 (2010), pp. 1073-1090.
    • (2010) NeuroImage , vol.55 , pp. 1073-1090
    • Durrleman, S.1    Fillard, P.2    Pennec, X.3    Trouvé, A.4    Ayache, N.5
  • 12
    • 68949175350 scopus 로고    scopus 로고
    • Statistical models of sets of curves and surfaces based on currents
    • S. Durrleman, A. Trouvé, N. Ayache, and X. Pennec, Statistical models of sets of curves and surfaces based on currents, Medical Image Analysis, 13 (2009), pp. 793-808.
    • (2009) Medical Image Analysis , vol.13 , pp. 793-808
    • Durrleman, S.1    Trouvé, A.2    Ayache, N.3    Pennec, X.4
  • 17
    • 0032298437 scopus 로고    scopus 로고
    • Computational anatomy: An emerging discipline
    • U. Grenander and M. I. Miller, Computational anatomy: An emerging discipline, Quart. Appl. Math., 56 (1998), pp. 617-694.
    • (1998) Quart. Appl. Math. , vol.56 , pp. 617-694
    • Grenander, U.1    Miller, M.I.2
  • 23
    • 0032115435 scopus 로고    scopus 로고
    • Diffeomorphisms groups and pattern matching in image analysis
    • A. Trouvé, Diffeomorphisms groups and pattern matching in image analysis, Int. J. Comput. Vis., 28 (1998), pp. 213-221.
    • (1998) Int. J. Comput. Vis. , vol.28 , pp. 213-221
    • Trouvé, A.1
  • 25
    • 4644322072 scopus 로고    scopus 로고
    • Learning over sets using kernel principal angles
    • L. Wolf and A. Shashua, Learning over sets using kernel principal angles, J. Mach. Learn. Res., 4 (2004), pp. 913-931.
    • (2004) J. Mach. Learn. Res. , vol.4 , pp. 913-931
    • Wolf, L.1    Shashua, A.2
  • 26
    • 0001309563 scopus 로고
    • Differential geometry of Grassmann manifolds
    • Y.-C. Wong, Differential geometry of Grassmann manifolds, Proc. Natl. Acad. Sci. USA, 57 (1967), pp. 589-594.
    • (1967) Proc. Natl. Acad. Sci. USA , vol.57 , pp. 589-594
    • Wong, Y.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.