메뉴 건너뛰기




Volumn 7574 LNCS, Issue PART 3, 2012, Pages 1-14

Polynomial regression on Riemannian manifolds

Author keywords

[No Author keywords available]

Indexed keywords

ALZHEIMER'S; CORPUS CALLOSUM; GROWTH DATA; NON-RIGID; PARAMETRIC ANALYSIS; POLYNOMIAL REGRESSION; RIEMANNIAN MANIFOLD; SHAPE ANALYSIS; SHAPE CHANGE; SHAPE SPACE;

EID: 84867879574     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-33712-3_1     Document Type: Conference Paper
Times cited : (52)

References (27)
  • 3
    • 0001872605 scopus 로고
    • Fitting smooth paths to spherical data
    • Jupp, P.E., Kent, J.T.: Fitting smooth paths to spherical data. Appl. Statist. 36, 34-46 (1987)
    • (1987) Appl. Statist. , vol.36 , pp. 34-46
    • Jupp, P.E.1    Kent, J.T.2
  • 5
    • 80053543534 scopus 로고    scopus 로고
    • Geodesic Regression for Image Time-Series
    • Fichtinger, G., Martel, A., Peters, T. (eds.) MICCAI 2011, Part II. Springer, Heidelberg
    • Niethammer, M., Huang, Y., Vialard, F.-X.: Geodesic Regression for Image Time-Series. In: Fichtinger, G., Martel, A., Peters, T. (eds.) MICCAI 2011, Part II. LNCS, vol. 6892, pp. 655-662. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6892 , pp. 655-662
    • Niethammer, M.1    Huang, Y.2    Vialard, F.-X.3
  • 8
    • 33646545175 scopus 로고    scopus 로고
    • Surface matching via currents
    • Vaillant, M., Glaunés, J.: Surface matching via currents. In: IPMI (2005)
    • (2005) IPMI
    • Vaillant, M.1    Glaunés, J.2
  • 15
    • 4043092663 scopus 로고    scopus 로고
    • Principal geodesic analysis for the study of nonlinear statistics of shape
    • Fletcher, P.T., Liu, C., Pizer, S.M., Joshi, S.C.: Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Trans. Med. Imag. 23, 995-1005 (2004)
    • (2004) IEEE Trans. Med. Imag. , vol.23 , pp. 995-1005
    • Fletcher, P.T.1    Liu, C.2    Pizer, S.M.3    Joshi, S.C.4
  • 16
    • 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. in Math. 137, 1-81 (1998)
    • (1998) Adv. in Math. , vol.137 , pp. 1-81
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.S.3
  • 17
    • 84972538798 scopus 로고
    • A survey of the statistical theory of shape
    • Kendall, D.G.: A survey of the statistical theory of shape. Statistical Science 4, 87-99 (1989)
    • (1989) Statistical Science , vol.4 , pp. 87-99
    • Kendall, D.G.1
  • 18
    • 21344487134 scopus 로고
    • The Riemannian structure of Euclidean shape spaces: A novel environment for statistics
    • Le, H., Kendall, D.G.: The Riemannian structure of Euclidean shape spaces: A novel environment for statistics. Ann. Statist. 21, 1225-1271 (1993)
    • (1993) Ann. Statist. , vol.21 , pp. 1225-1271
    • Le, H.1    Kendall, D.G.2
  • 19
    • 0000962696 scopus 로고
    • The fundamental equations of a submersion
    • O'Neill, B.: The fundamental equations of a submersion. Michigan Math J. 13, 459-469 (1966)
    • (1966) Michigan Math J. , vol.13 , pp. 459-469
    • O'Neill, B.1
  • 21
  • 24
    • 38649109729 scopus 로고    scopus 로고
    • Fitting smooth paths on Riemannian manifolds
    • Machado, L., Leite, F.S.: Fitting smooth paths on Riemannian manifolds. Int. J. App. Math. Stat. 4, 25-53 (2006)
    • (2006) Int. J. App. Math. Stat. , vol.4 , pp. 25-53
    • Machado, L.1    Leite, F.S.2
  • 25
    • 84856209824 scopus 로고    scopus 로고
    • A gradient-descent method for curve fitting on Riemannian manifolds
    • Samir, C., Absil, P.A., Srivastava, A., Klassen, E.: A gradient-descent method for curve fitting on Riemannian manifolds. Found. Comp. Math. 12, 49-73 (2010)
    • (2010) Found. Comp. Math. , vol.12 , pp. 49-73
    • Samir, C.1    Absil, P.A.2    Srivastava, A.3    Klassen, E.4
  • 26
    • 84862565323 scopus 로고    scopus 로고
    • Fitting smoothing splines to time-indexed, noisy points on nonlinear manifolds
    • Su, J., Dryden, I.L., Klassen, E., Le, H., Srivastava, A.: Fitting smoothing splines to time-indexed, noisy points on nonlinear manifolds. Image and Vision Computing 30, 428-442 (2012)
    • (2012) Image and Vision Computing , vol.30 , pp. 428-442
    • Su, J.1    Dryden, I.L.2    Klassen, E.3    Le, H.4    Srivastava, A.5
  • 27
    • 34548372065 scopus 로고
    • Non-parametric regression in curve fitting
    • Moussa, M.A.A., Cheema, M.Y.: Non-parametric regression in curve fitting. The Statistician 41, 209-225 (1992)
    • (1992) The Statistician , vol.41 , pp. 209-225
    • Moussa, M.A.A.1    Cheema, M.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.