메뉴 건너뛰기




Volumn 8296, Issue , 2012, Pages

Iterative weighted risk estimation for nonlinear image restoration with analysis priors

Author keywords

generalized cross validation; Image restoration; Jacobian matrix; regularization parameter; Stein's unbiased risk estimate

Indexed keywords

ANALYTICAL EXPRESSIONS; AUTOMATIC ADJUSTMENT; DEBLURRING ALGORITHMS; EDGE PRESERVING; GENERALIZED CROSS VALIDATION; IMAGE ACQUISITION SYSTEMS; ITERATIVE REWEIGHTED LEAST SQUARE; ITERATIVE-WEIGHTED; JACOBIANS; NONLINEAR IMAGE RESTORATION; NONLINEAR VERSIONS; PARAMETER SELECTION; PARAMETER-TUNING; REGULARIZATION PARAMETERS; REGULARIZER; RESTORATION ALGORITHM; RESTORATION TECHNIQUES; RISK ESTIMATION; TOTAL VARIATION; UNBIASED RISK ESTIMATES;

EID: 84863238357     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.915643     Document Type: Conference Paper
Times cited : (9)

References (20)
  • 1
    • 84882819416 scopus 로고    scopus 로고
    • Regularization in image restoration and reconstruction
    • Bovik, A., ed., ELSEVIER, 2nd ed.
    • Karl, W. C., "Regularization in image restoration and reconstruction," in [Handbook of Image & Video Processing], Bovik, A., ed., 183-202, ELSEVIER, 2nd ed. (2005).
    • (2005) Handbook of Image & Video Processing , pp. 183-202
    • Karl, W.C.1
  • 2
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions
    • Craven, P. and Wahba, G., "Smoothing noisy data with spline functions," Numer. Math. 31, 377-403 (1979).
    • (1979) Numer. Math. , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 3
    • 0009573969 scopus 로고
    • Fast computation of cross-validated robust splines and other non-linear smoothing splines
    • Laurent, L. M. and Schumaker, eds., Academic, Boston
    • Deshpande, L. N. and Girard, D. A., "Fast computation of cross-validated robust splines and other non-linear smoothing splines," in [Curves and Surfaces], Laurent, L. M. and Schumaker, eds., 143-8, Academic, Boston (1991).
    • (1991) Curves and Surfaces , pp. 143-148
    • Deshpande, L.N.1    Girard, D.A.2
  • 4
    • 21844498899 scopus 로고
    • The fast Monte-Carlo Cross-Validation and CL procedures: Comments, new results and application to image recovery problems - Rejoinder
    • Girard, D. A., "The fast Monte-Carlo Cross-Validation and CL procedures: Comments, new results and application to image recovery problems - Rejoinder," Computation. Stat. 10, 251-258 (1995).
    • (1995) Computation. Stat. , vol.10 , pp. 251-258
    • Girard, D.A.1
  • 5
    • 0000169918 scopus 로고
    • Estimation of the mean of a multivariate normal distribution
    • Nov.
    • Stein, C., "Estimation of the mean of a multivariate normal distribution," Ann. Stat. 9, 1135-51 (Nov. 1981).
    • (1981) Ann. Stat. , vol.9 , pp. 1135-1151
    • Stein, C.1
  • 6
    • 60549117145 scopus 로고    scopus 로고
    • Generalized SURE for exponential families: Applications to regularization
    • Feb.
    • Eldar, Y. C., "Generalized SURE for exponential families: applications to regularization,"IEEE Trans. Sig. Proc. 57, 471-81 (Feb. 2009).
    • (2009) IEEE Trans. Sig. Proc. , vol.57 , pp. 471-481
    • Eldar, Y.C.1
  • 7
    • 69949174390 scopus 로고    scopus 로고
    • Recursive risk estimation for non-linear image deconvolution with a wavelet-domain sparsity constraint
    • Vonesch, C., Ramani, S., and Unser, M., "Recursive risk estimation for non-linear image deconvolution with a wavelet-domain sparsity constraint," Proc. IEEE Intl. Conf. Img. Proc. (ICIP'08), 665-8 (2008).
    • (2008) Proc. IEEE Intl. Conf. Img. Proc. (ICIP'08) , pp. 665-668
    • Vonesch, C.1    Ramani, S.2    Unser, M.3
  • 8
    • 79953103015 scopus 로고    scopus 로고
    • The projected GSURE for automatic parameter tuning in iterative shrinkage methods
    • May
    • Giryes, R., Elad, M., and Eldar, Y. C., "The projected GSURE for automatic parameter tuning in iterative shrinkage methods," Applied and Computational Harmonic Analysis 30, 407-22 (May 2011).
    • (2011) Applied and Computational Harmonic Analysis , vol.30 , pp. 407-422
    • Giryes, R.1    Elad, M.2    Eldar, Y.C.3
  • 9
    • 36348943666 scopus 로고    scopus 로고
    • The SURE-LET approach to image denoising
    • Nov.
    • Blu, T. and Luisier, F., "The SURE-LET approach to image denoising," IEEE Trans. Im. Proc. 16, 2778-86 (Nov. 2007).
    • (2007) IEEE Trans. Im. Proc. , vol.16 , pp. 2778-2786
    • Blu, T.1    Luisier, F.2
  • 10
    • 50549090016 scopus 로고    scopus 로고
    • Monte-Carlo SURE: A black-box optimization of regularization parameters for general denoising algorithms
    • Sept.
    • Ramani, S., Blu, T., and Unser, M., "Monte-Carlo SURE: A black-box optimization of regularization parameters for general denoising algorithms," IEEE Trans. Im. Proc. 17, 1540-54 (Sept. 2008).
    • (2008) IEEE Trans. Im. Proc. , vol.17 , pp. 1540-1554
    • Ramani, S.1    Blu, T.2    Unser, M.3
  • 11
    • 80054770404 scopus 로고    scopus 로고
    • Nonlocal means with dimensionality reduction and SURE-based parameter selection
    • Ville, D. V. D. and Kocher, M., "Nonlocal means with dimensionality reduction and SURE-based parameter selection," IEEE Trans. Im. Proc. 20(9), 2683-90 (2011).
    • (2011) IEEE Trans. Im. Proc. , vol.20 , Issue.9 , pp. 2683-2690
    • Ville, D.V.D.1    Kocher, M.2
  • 12
    • 0026139576 scopus 로고
    • A study of methods of choosing the smoothing parameter in image restoration by regularization
    • Thompson, A. M., Brown, J. C., Kay, J. W., and Titterington, D. M., "A study of methods of choosing the smoothing parameter in image restoration by regularization," IEEE Trans. Patt. Anal. Mach. Intell. 13(4), 326-339 (1991).
    • (1991) IEEE Trans. Patt. Anal. Mach. Intell. , vol.13 , Issue.4 , pp. 326-339
    • Thompson, A.M.1    Brown, J.C.2    Kay, J.W.3    Titterington, D.M.4
  • 13
    • 77955205502 scopus 로고    scopus 로고
    • An accelerated iterative reweighted least squares algorithm for compressed sensing MRI
    • Ramani, S. and Fessler, J. A., "An accelerated iterative reweighted least squares algorithm for compressed sensing MRI," in [Proc. IEEE Intl. Symp. Biomed. Imag.], 257-60 (2010).
    • (2010) Proc. IEEE Intl. Symp. Biomed. Imag. , pp. 257-260
    • Ramani, S.1    Fessler, J.A.2
  • 14
    • 84863297184 scopus 로고    scopus 로고
    • Regularization parameter selection for nonlinear iterative image restoration and mri reconstruction using GCV and SURE-based methods
    • submitted
    • Ramani, S., Rosen, J., Liu, Z., and Fessler, J. A., "Regularization parameter selection for nonlinear iterative image restoration and mri reconstruction using GCV and SURE-based methods," IEEE Trans. Im. Proc. (submitted).
    • IEEE Trans. Im. Proc.
    • Ramani, S.1    Rosen, J.2    Liu, Z.3    Fessler, J.A.4
  • 15
    • 70449483397 scopus 로고    scopus 로고
    • Signal restoration with overcomplete wavelet transforms: Comparison of analysis and synthesis priors
    • Wavelets XIII
    • Selesnick, I. W. and Figueiredo, M. A. T., "Signal restoration with overcomplete wavelet transforms: comparison of analysis and synthesis priors," in [SPIE-7446], 74460D (2009). Wavelets XIII.
    • (2009) SPIE-7446
    • Selesnick, I.W.1    Figueiredo, M.A.T.2
  • 16
    • 0742271910 scopus 로고
    • On the robust estimation of econometric models
    • Oct.
    • Fair, R. C., "On the robust estimation of econometric models," Ann. Econ. Social Measurement 2, 667-77 (Oct. 1974).
    • (1974) Ann. Econ. Social Measurement , vol.2 , pp. 667-677
    • Fair, R.C.1
  • 17
    • 0001264981 scopus 로고
    • A stochastic estimator for the trace of the influence matrix for Laplacian smoothing splines
    • Hutchinson, M. F., "A stochastic estimator for the trace of the influence matrix for Laplacian smoothing splines," Comm. in Statistics - Simulation and Computation 19(2), 433-50 (1990).
    • (1990) Comm. in Statistics - Simulation and Computation , vol.19 , Issue.2 , pp. 433-450
    • Hutchinson, M.F.1
  • 19
    • 0004236492 scopus 로고    scopus 로고
    • The Johns Hopkins University Press, Baltimore, MD, USA, third ed.
    • Golub, G. H. and Loan, C. F. V., [Matrix Computations], The Johns Hopkins University Press, Baltimore, MD, USA, third ed. (1996, p. 50).
    • (1996) Matrix Computations , pp. 50
    • Golub, G.H.1    Loan, C.F.V.2
  • 20
    • 34249790289 scopus 로고    scopus 로고
    • Complex-valued matrix differentiation: Techniques and key results
    • Hjorungnes, A. and Gesbert, D., "Complex-valued matrix differentiation: techniques and key results," IEEE Trans. Sig. Proc. 55(6), 2740-6 (2007).
    • (2007) IEEE Trans. Sig. Proc. , vol.55 , Issue.6 , pp. 2740-2746
    • Hjorungnes, A.1    Gesbert, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.