메뉴 건너뛰기




Volumn 90, Issue 8, 2010, Pages 2546-2551

UPRE method for total variation parameter selection

Author keywords

Inverse problem; Large scale problem; Parameter selection; Total variation regularization

Indexed keywords

COMPUTATIONAL REQUIREMENTS; DEBLURRING; LARGE-SCALE PROBLEM; LINEAR PROBLEMS; PARAMETER SELECTION; RECONSTRUCTED IMAGE; REGULARIZATION PARAMETERS; RISK ESTIMATORS; TIKHONOV REGULARIZATION; TOTAL VARIATION; TOTAL VARIATION REGULARIZATION;

EID: 77951295003     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2010.02.025     Document Type: Article
Times cited : (60)

References (25)
  • 1
    • 0001300995 scopus 로고
    • Regularization of incorrectly posed problems
    • Tikhonov A.N. Regularization of incorrectly posed problems. Soviet Mathematics-Doklady 4 (1963) 1624-1627
    • (1963) Soviet Mathematics-Doklady , vol.4 , pp. 1624-1627
    • Tikhonov, A.N.1
  • 2
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • Rudin L., Osher S., and Fatemi E. Nonlinear total variation based noise removal algorithms. Physica D 60 (1992) 259-268
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 6
    • 32044449925 scopus 로고
    • Generalized cross-validation as a method for choosing a good ridge parameter
    • Golub G.H., Heath M.T., and Wahba G. Generalized cross-validation as a method for choosing a good ridge parameter. Technometrics 21 2 (1979) 215-223
    • (1979) Technometrics , vol.21 , Issue.2 , pp. 215-223
    • Golub, G.H.1    Heath, M.T.2    Wahba, G.3
  • 7
    • 0000544453 scopus 로고
    • Practical approximate solutions to linear operator equations when the data are noisy
    • Wahba G. Practical approximate solutions to linear operator equations when the data are noisy. SIAM Journal on Numerical Analysis 14 4 (1977) 651-667
    • (1977) SIAM Journal on Numerical Analysis , vol.14 , Issue.4 , pp. 651-667
    • Wahba, G.1
  • 8
    • 0001632418 scopus 로고
    • The use of the L-curve in the regularization of discrete ill-posed problem
    • Hansen P.C., and O'Leary D.P. The use of the L-curve in the regularization of discrete ill-posed problem. SIAM Journal on Scientific Computing 14 6 (1993) 1487-1503
    • (1993) SIAM Journal on Scientific Computing , vol.14 , Issue.6 , pp. 1487-1503
    • Hansen, P.C.1    O'Leary, D.P.2
  • 9
    • 40849120186 scopus 로고    scopus 로고
    • Parameter estimation in TV image restoration using variational distribution approximation
    • Babacan S.D., Molina R., and Katsaggelos A.K. Parameter estimation in TV image restoration using variational distribution approximation. IEEE Transactions on Image Processing 17 3 (2008) 326-339
    • (2008) IEEE Transactions on Image Processing , vol.17 , Issue.3 , pp. 326-339
    • Babacan, S.D.1    Molina, R.2    Katsaggelos, A.K.3
  • 10
  • 11
    • 0005248537 scopus 로고    scopus 로고
    • Relation of regularization parameter and scale in total variation based image denoising, Technical Report
    • D.M. Strong, T.F. Chan, Relation of regularization parameter and scale in total variation based image denoising, Technical Report, UCLA Computational and Applied Mathematics (CAM) Report, 1996.
    • (1996) UCLA Computational and Applied Mathematics (CAM) Report
    • Strong, D.M.1    Chan, T.F.2
  • 12
    • 33644533840 scopus 로고    scopus 로고
    • Structure-texture image decomposition-modeling, algorithms, and parameter selection
    • Aujol J.-F., Gilboa G., Chan T.F., and Osher S.J. Structure-texture image decomposition-modeling, algorithms, and parameter selection. International Journal of Computer Vision 67 1 (2006) 111-136
    • (2006) International Journal of Computer Vision , vol.67 , Issue.1 , pp. 111-136
    • Aujol, J.-F.1    Gilboa, G.2    Chan, T.F.3    Osher, S.J.4
  • 14
    • 70350315903 scopus 로고    scopus 로고
    • A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems
    • (19pp.)
    • Mead J., and Renaut R.A. A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems. Inverse Problems 25 2 (2009) 025002 (19pp.)
    • (2009) Inverse Problems , vol.25 , Issue.2 , pp. 025002
    • Mead, J.1    Renaut, R.A.2
  • 17
    • 0035537408 scopus 로고    scopus 로고
    • Choosing regularization parameters in iterative methods for ill-posed problems
    • Kilmer M.E., and O'Leary D.P. Choosing regularization parameters in iterative methods for ill-posed problems. Journal on Matrix Analysis and Applications 22 4 (2001) 1204-1221
    • (2001) Journal on Matrix Analysis and Applications , vol.22 , Issue.4 , pp. 1204-1221
    • Kilmer, M.E.1    O'Leary, D.P.2
  • 18
    • 21844498899 scopus 로고
    • L procedures: comments, new results, and application to image recovery problems
    • L procedures: comments, new results, and application to image recovery problems. Computational Statistics 10 (1995) 205-231
    • (1995) Computational Statistics , vol.10 , pp. 205-231
    • Girard, D.A.1
  • 20
    • 10044278498 scopus 로고    scopus 로고
    • Computing trace of function of matrix
    • Guo H. Computing trace of function of matrix. Numerical Mathematics 9 2 (2000) 204-215
    • (2000) Numerical Mathematics , vol.9 , Issue.2 , pp. 204-215
    • Guo, H.1
  • 21
    • 0000462797 scopus 로고
    • A stochastic estimator of the trace of the influence matrix for laplacian smoothing splines
    • Hutchinson M.F. A stochastic estimator of the trace of the influence matrix for laplacian smoothing splines. Communications in Statistics, Simulation and Computation 18 3 (1989) 1059-1076
    • (1989) Communications in Statistics, Simulation and Computation , vol.18 , Issue.3 , pp. 1059-1076
    • Hutchinson, M.F.1
  • 25
    • 0001106460 scopus 로고
    • Residual variance and residual pattern in nonlinear regression
    • Gasser T., Sroka L., and Jennen-Steinmetz C. Residual variance and residual pattern in nonlinear regression. Biometrika 73 3 (1986) 625-633
    • (1986) Biometrika , vol.73 , Issue.3 , pp. 625-633
    • Gasser, T.1    Sroka, L.2    Jennen-Steinmetz, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.