메뉴 건너뛰기




Volumn 28, Issue 1, 2012, Pages

The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy

Author keywords

[No Author keywords available]

Indexed keywords

4PI MICROSCOPY; CONVEX CONSTRAINTS; DECONVOLUTION PROBLEM; ERROR LEVELS; EXPERIMENTAL DATA; GAUSS-NEWTON METHODS; ILL-POSED OPERATOR EQUATION; ITERATION STEP; ITERATIVE REGULARIZATION; JOINT ESTIMATION; NEWTON EQUATION; NEWTON-TYPE METHODS; NONNEGATIVITY CONSTRAINTS; NUMERICAL SOLUTION; RIGHT-HAND SIDES; SEMI-BLIND; TIKHONOV REGULARIZATION;

EID: 84855388913     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/28/1/015012     Document Type: Article
Times cited : (22)

References (21)
  • 1
    • 33750548228 scopus 로고    scopus 로고
    • 4Pi microscopy deconvolution with a variable point-spread function
    • DOI 10.1364/AO.45.007056
    • Baddeley D, Carl C and Cremer C 2006 4Pi microscopy deconvolution with a variable point-spread function Appl. Opt. 45 705664 (Pubitemid 44671426)
    • (2006) Applied Optics , vol.45 , Issue.27 , pp. 7056-7064
    • Baddeley, D.1    Carl, C.2    Cremer, C.3
  • 2
    • 0000834834 scopus 로고
    • The problem of the convergence of the iteratively regularized GaussNewton method
    • Bakushinskii A B 1992 The problem of the convergence of the iteratively regularized GaussNewton method Comput. Math. Math. Phys. 32 13539
    • (1992) Comput. Math. Math. Phys. , vol.32 , pp. 1353-1359
    • Bakushinskii, A.B.1
  • 5
    • 0031532935 scopus 로고    scopus 로고
    • On convergence rates for the iteratively regularized GaussNewton method
    • Blaschke B, Neubauer A and Scherzer O 1997 On convergence rates for the iteratively regularized GaussNewton method J. Numer. Anal. 17 42136
    • (1997) J. Numer. Anal. , vol.17 , Issue.3 , pp. 421-436
    • Blaschke, B.1    Neubauer, A.2    Scherzer, O.3
  • 7
    • 0038212661 scopus 로고
    • Convergence of Tikhonov regularization for constrained ill-posed problems
    • Chavent G and Kunisch K 1994 Convergence of Tikhonov regularization for constrained ill-posed problems Inverse Problems 10 6376
    • (1994) Inverse Problems , vol.10 , Issue.1 , pp. 63-76
    • Chavent, G.1    Kunisch, K.2
  • 9
    • 79961238042 scopus 로고    scopus 로고
    • Convergence rates in constrained Tikhonov regularization: Equivalence of projected source conditions and variational inequalities
    • Flemming J and Hofmann B 2011 Convergence rates in constrained Tikhonov regularization: equivalence of projected source conditions and variational inequalities Inverse Problems 27 085001
    • (2011) Inverse Problems , vol.27 , Issue.8
    • Flemming, J.1    Hofmann, B.2
  • 10
    • 84855387447 scopus 로고    scopus 로고
    • A Newton method for reconstructing non star-shaped domains in electrical impedance tomography
    • Harbrecht H and Hohage T 2009 A Newton method for reconstructing non star-shaped domains in electrical impedance tomography Inverse Problems Imag. 3 35371
    • (2009) Inverse Problems Imag. , vol.3 , Issue.2 , pp. 353-371
    • Harbrecht, H.1    Hohage, T.2
  • 11
    • 0026931496 scopus 로고
    • Fundamental improvement of resolution with a 4Pi-confocal fluorescence microscope using two-photon excitation
    • DOI 10.1016/0030-4018(92)90185-T
    • Hell S and Stelzer E H K 1992 Fundamental improvement of resolution with a 4Pi-confocal fluorescence microscope using two-photon excitation Opt. Commun. 93 27782 (Pubitemid 23635703)
    • (1992) Optics Communications , vol.93 , Issue.5-6 , pp. 277-282
    • Hell Stefan1    Stelzer Ernst, H.K.2
  • 12
    • 84975659980 scopus 로고
    • Properties of a 4Pi confocal fluorescence microscope
    • Hell S and Stelzer E H K 1992 Properties of a 4Pi confocal fluorescence microscope J. Opt. Soc. Am. A 9 215966
    • (1992) J. Opt. Soc. Am. , vol.9 , Issue.12 , pp. 2159-2166
    • Hell, S.1    Stelzer, E.H.K.2
  • 13
    • 0041657515 scopus 로고    scopus 로고
    • The primal-dual active set strategy as a semismooth Newton method
    • DOI 10.1137/S1052623401383558, PII S1052623401383558
    • Hintermller M, Ito K and Kunisch K 2003 The primal-dual active set strategy as a semi-smooth Newton method SIAM J. Optim. 13 86588 (Pubitemid 36971115)
    • (2003) SIAM Journal on Optimization , vol.13 , Issue.3 , pp. 865-888
    • Hintermuller, M.1    Ito, K.2    Kunisch, K.3
  • 14
    • 0000670255 scopus 로고    scopus 로고
    • Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem
    • Hohage T 1997 Logarithmic convergence rates of the iteratively regularized GaussNewton method for an inverse potential and an inverse scattering problem Inverse Problems 13 127999 (Pubitemid 127550009)
    • (1997) Inverse Problems , vol.13 , Issue.5 , pp. 1279-1299
    • Hohage, T.1
  • 15
    • 0034187252 scopus 로고    scopus 로고
    • Regularization of exponentially ill-posed problems
    • Hohage T 2000 Regularization of exponentially ill-posed problems Numer. Funct. Anal. Optim. 21 43964
    • (2000) Numer. Funct. Anal. Optim. , vol.21 , Issue.3-4 , pp. 439-464
    • Hohage, T.1
  • 16
    • 77749340980 scopus 로고    scopus 로고
    • Convergence rates for the iteratively regularized GaussNewton method in Banach spaces
    • Kaltenbacher B and Hofmann B 2010 Convergence rates for the iteratively regularized GaussNewton method in Banach spaces Inverse Problems 26 035007
    • (2010) Inverse Problems , vol.26 , Issue.3
    • Kaltenbacher, B.1    Hofmann, B.2
  • 18
    • 38249027696 scopus 로고
    • Tikhonov-regularization of ill-posed linear operator equations on closed convex sets
    • Neubauer A 1988 Tikhonov-regularization of ill-posed linear operator equations on closed convex sets J. Approx. Theory 53 30420
    • (1988) J. Approx. Theory , vol.53 , Issue.3 , pp. 304-320
    • Neubauer, A.1
  • 20
    • 84855361109 scopus 로고    scopus 로고
    • Semi-blind deconvolution in 4Pi-microscopy
    • Stck R 2011 Semi-blind deconvolution in 4Pi-microscopy PhD Thesis
    • (2011) PhD Thesis
    • Stck, R.1
  • 21
    • 77952725336 scopus 로고    scopus 로고
    • Automatic deconvolution in 4Pi-microscopy with variable phase
    • Vicidomini G R S, Egner A, Hell S W and Schnle A 2010 Automatic deconvolution in 4Pi-microscopy with variable phase Opt. Express 18 1015467
    • (2010) Opt. Express , vol.18 , Issue.10 , pp. 10154-10167
    • Vicidomini, G.R.S.1    Egner, A.2    Hell, S.W.3    Schnle, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.