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Volumn 152, Issue 3-4, 2012, Pages 425-473

Semiparametric estimation of shifts on compact Lie groups for image registration

Author keywords

Fourier transform; Image registration; Lie group; M estimation; Semi parametric estimation; Statistical inference on manifolds; White noise model

Indexed keywords


EID: 84858160199     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-010-0327-2     Document Type: Article
Times cited : (5)

References (42)
  • 1
    • 0003658081 scopus 로고
    • Differential-geometrical methods in statistics
    • Springer, Berlin
    • Amari, S.-I.: Differential-geometrical methods in statistics. In: Lecture Notes in Statistics. Springer, Berlin (1985).
    • (1985) Lecture Notes in Statistics
    • Amari, S.-I.1
  • 2
    • 0141710459 scopus 로고    scopus 로고
    • Lévy processes in stochastic differential geometry
    • Birkhäuser, Basel
    • Applebaum, D.: Lévy processes in stochastic differential geometry. In: Levy Processes: Theory and Applications, pp. 111-137. Birkhäuser, Basel (2001).
    • (2001) Levy Processes: Theory and Applications , pp. 111-137
    • Applebaum, D.1
  • 3
    • 0030335402 scopus 로고    scopus 로고
    • Asymptotic equivalence of nonparametric regression and white noise
    • Brown R. L. D., Low M. G.: Asymptotic equivalence of nonparametric regression and white noise. Ann. Stat. 24, 2384-2398 (1996).
    • (1996) Ann. Stat. , vol.24 , pp. 2384-2398
    • Brown, R.L.D.1    Low, M.G.2
  • 4
    • 5444276422 scopus 로고    scopus 로고
    • Computing large deformation metric mappings via geodesic flows of diffeomorphisms
    • Beg M. F., Miller M. I., Trouvé A., Younes L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int. J. Comput. Vis. 61(2), 139-157 (2005).
    • (2005) Int. J. Comput. Vis. , vol.61 , Issue.2 , pp. 139-157
    • Beg, M.F.1    Miller, M.I.2    Trouvé, A.3    Younes, L.4
  • 5
    • 0036840404 scopus 로고    scopus 로고
    • Nonparametic estimation of location and dispersion on Riemannian manifolds
    • C. R. Rao 80th birthday felicitation volume, Part II
    • Bhattacharya, R., Patrangenaru, V.: Nonparametic estimation of location and dispersion on Riemannian manifolds. J. Stat. Plan. Inference 108(1-2): 23-35 (2002). C. R. Rao 80th birthday felicitation volume, Part II.
    • (2002) J. Stat. Plan. Inference , vol.108 , Issue.1-2 , pp. 23-35
    • Bhattacharya, R.1    Patrangenaru, V.2
  • 6
    • 21144443869 scopus 로고    scopus 로고
    • Large sample theory of intrinsic and extrinsic sample means on manifolds-I
    • Bhattacharya R., Patrangenaru V.: Large sample theory of intrinsic and extrinsic sample means on manifolds-I. Ann. Stat. 31(1), 1-29 (2003).
    • (2003) Ann. Stat. , vol.31 , Issue.1 , pp. 1-29
    • Bhattacharya, R.1    Patrangenaru, V.2
  • 7
    • 23744472179 scopus 로고    scopus 로고
    • Large sample theory of intrinsic and extrinsic sample means on manifolds-II
    • Bhattacharya R., Patrangenaru V.: Large sample theory of intrinsic and extrinsic sample means on manifolds-II. Ann. Stat. 33, 1225-1259 (2005).
    • (2005) Ann. Stat. , vol.33 , pp. 1225-1259
    • Bhattacharya, R.1    Patrangenaru, V.2
  • 8
    • 33745747747 scopus 로고    scopus 로고
    • Lie groups
    • Springer-Verlag, New York
    • Bump, D.: Lie groups. In: Graduate Texts in Mathematics, vol. 225. Springer-Verlag, New York (2004).
    • (2004) Graduate Texts in Mathematics , vol.225
    • Bump, D.1
  • 10
    • 0035539857 scopus 로고    scopus 로고
    • M-estimation for location and regression parameters in group models: a case study using Stiefel manifolds
    • Chang T., Rivest L.-P.: M-estimation for location and regression parameters in group models: a case study using Stiefel manifolds. Ann. Stat. 29(3), 784-814 (2001).
    • (2001) Ann. Stat. , vol.29 , Issue.3 , pp. 784-814
    • Chang, T.1    Rivest, L.-P.2
  • 12
    • 0001123307 scopus 로고
    • Geometric aspects of diffusions on manifolds
    • Lecture Notes in Mathematics, Springer, Berlin
    • Elworthy, D.: Geometric aspects of diffusions on manifolds. In: École d'Été de Probabilités de Saint-Flour XV-XVII, Lecture Notes in Mathematics, pp. 277-425. Springer, Berlin (1988).
    • (1988) École d'Été de Probabilités de Saint-Flour XV-XVII , pp. 277-425
    • Elworthy, D.1
  • 14
    • 0035649909 scopus 로고    scopus 로고
    • A penalized likelihood approach to image warping
    • Glasbey C. A., Mardia K. V.: A penalized likelihood approach to image warping. J. R. Stat. Soc. Ser. B 63(3), 465-492 (2001).
    • (2001) J. R. Stat. Soc. Ser. B , vol.63 , Issue.3 , pp. 465-492
    • Glasbey, C.A.1    Mardia, K.V.2
  • 17
    • 0000464675 scopus 로고
    • A Cramér-Rao type lower bound for estimators with values in a manifold
    • Hendriks H.: A Cramér-Rao type lower bound for estimators with values in a manifold. J. Multivar. Anal. 38(2), 245-261 (1991).
    • (1991) J. Multivar. Anal. , vol.38 , Issue.2 , pp. 245-261
    • Hendriks, H.1
  • 18
    • 0000814238 scopus 로고
    • A Cramér-Rao type inequality for random variables in Euclidean manifolds
    • Hendriks H. W., Janssen J. H., Ruymgaart F. H.: A Cramér-Rao type inequality for random variables in Euclidean manifolds. Sankhya A 54(3), 387-401 (1992).
    • (1992) Sankhya A , vol.54 , Issue.3 , pp. 387-401
    • Hendriks, H.W.1    Janssen, J.H.2    Ruymgaart, F.H.3
  • 20
    • 0042810001 scopus 로고
    • Brownian motions in a Lie group
    • Itô K.: Brownian motions in a Lie group. Proc. Jpn. Acad. 26(8), 4-10 (1950).
    • (1950) Proc. Jpn. Acad. , vol.26 , Issue.8 , pp. 4-10
    • Itô, K.1
  • 23
    • 0032360315 scopus 로고    scopus 로고
    • Deconvolution density estimation on so(n)
    • Kim P. T.: Deconvolution density estimation on so(n). Ann. Stat. 26, 1083-1102 (1998).
    • (1998) Ann. Stat. , vol.26 , pp. 1083-1102
    • Kim, P.T.1
  • 24
    • 38349092367 scopus 로고    scopus 로고
    • Asymptotic minimax bounds for stochastic deconvolution over groups
    • Kim P. T., Koo J. Y.: Asymptotic minimax bounds for stochastic deconvolution over groups. IEEE Trans. Inf. Theory 54, 289-298 (2008).
    • (2008) IEEE Trans. Inf. Theory , vol.54 , pp. 289-298
    • Kim, P.T.1    Koo, J.Y.2
  • 25
    • 29644443691 scopus 로고    scopus 로고
    • Statistical inverse problems on manifolds
    • Kim P. T., Koo J. Y.: Statistical inverse problems on manifolds. J. Fourier Anal. Appl. 11, 639-653 (2005).
    • (2005) J. Fourier Anal. Appl. , vol.11 , pp. 639-653
    • Kim, P.T.1    Koo, J.Y.2
  • 27
    • 0029271481 scopus 로고
    • A contour-based approach to multisensor image registration
    • Li H., Manjunath B. S., Mitra S. K.: A contour-based approach to multisensor image registration. IEEE Trans. Image Process. 4(3), 320-334 (1995).
    • (1995) IEEE Trans. Image Process. , vol.4 , Issue.3 , pp. 320-334
    • Li, H.1    Manjunath, B.S.2    Mitra, S.K.3
  • 29
    • 33746395196 scopus 로고    scopus 로고
    • Rotation recovery from spherical images without correspondences
    • Makadia A., Daniilidis K.: Rotation recovery from spherical images without correspondences. IEEE Trans. Pattern Anal. Mach. Intell. 28(7), 1170-1175 (2006).
    • (2006) IEEE Trans. Pattern Anal. Mach. Intell. , vol.28 , Issue.7 , pp. 1170-1175
    • Makadia, A.1    Daniilidis, K.2
  • 30
    • 4043088381 scopus 로고    scopus 로고
    • Constructing diffeomorphic representations for the groupwise analysis of nonrigid registrations of medical images
    • Marsland S., Twining C. J.: Constructing diffeomorphic representations for the groupwise analysis of nonrigid registrations of medical images. IEEE Trans. Med. Imaging 23(8), 1006-1020 (2004).
    • (2004) IEEE Trans. Med. Imaging , vol.23 , Issue.8 , pp. 1006-1020
    • Marsland, S.1    Twining, C.J.2
  • 31
    • 0038623895 scopus 로고    scopus 로고
    • Application of convolution theorems in semiparametric models with non-i.i.d. data
    • McNeney B., Wellner J. A.: Application of convolution theorems in semiparametric models with non-i. i. d. data. J. Stat. Plan. Inference 91(2), 441-480 (1998).
    • (1998) J. Stat. Plan. Inference , vol.91 , Issue.2 , pp. 441-480
    • McNeney, B.1    Wellner, J.A.2
  • 32
    • 0000912101 scopus 로고
    • Spline smoothing in regression models and asymptotic efficiency in l2
    • Nussbaum M.: Spline smoothing in regression models and asymptotic efficiency in l2. Ann. Stat. 13, 984-992 (1985).
    • (1985) Ann. Stat. , vol.13 , pp. 984-992
    • Nussbaum, M.1
  • 33
    • 0012674637 scopus 로고    scopus 로고
    • The Newton iteration on Lie groups
    • Owren B., Welfert B.: The Newton iteration on Lie groups. BIT Numer. Math. 40(1), 121-145 (2000).
    • (2000) BIT Numer. Math. , vol.40 , Issue.1 , pp. 121-145
    • Owren, B.1    Welfert, B.2
  • 35
  • 36
    • 18844440455 scopus 로고    scopus 로고
    • Covariance, subspace, and intrinsic cramér-rao bounds
    • Smith S. T.: Covariance, subspace, and intrinsic cramér-rao bounds. IEEE Trans. Signal Process. 53(5), 1610-1630 (2005).
    • (2005) IEEE Trans. Signal Process. , vol.53 , Issue.5 , pp. 1610-1630
    • Smith, S.T.1
  • 37
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric regression
    • Stone C. J.: Optimal global rates of convergence for nonparametric regression. Ann. Stat. 10(4), 1040-1053 (1982).
    • (1982) Ann. Stat. , vol.10 , Issue.4 , pp. 1040-1053
    • Stone, C.J.1
  • 38
    • 22644444962 scopus 로고    scopus 로고
    • Metamorphoses through lie group action
    • Trouvé A., Younes L.: Metamorphoses through lie group action. Found. Comput. Math. 5(2), 173-198 (2005).
    • (2005) Found. Comput. Math. , vol.5 , Issue.2 , pp. 173-198
    • Trouvé, A.1    Younes, L.2
  • 40
    • 33748957908 scopus 로고    scopus 로고
    • Kernel-based methods for inversion of the radon transform on so(3) and their applications to texture analysis
    • van den Boogaart K. G., Hielscher R., Prestin J., Schaeben H.: Kernel-based methods for inversion of the radon transform on so(3) and their applications to texture analysis. J. Comput. Appl. Math. 199(1), 122-140 (2007).
    • (2007) J. Comput. Appl. Math. , vol.199 , Issue.1 , pp. 122-140
    • van den Boogaart, K.G.1    Hielscher, R.2    Prestin, J.3    Schaeben, H.4
  • 42
    • 77951491268 scopus 로고    scopus 로고
    • Efficient estimation in homothetic shifted in regression models
    • Vimond M.: Efficient estimation in homothetic shifted in regression models. Ann. Stat. 38(3), 1885-1912 (2010).
    • (2010) Ann. Stat. , vol.38 , Issue.3 , pp. 1885-1912
    • Vimond, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.