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Volumn 31, Issue 1-3, 2009, Pages 35-59

Total variation-penalized Poisson likelihood estimation for ill-posed problems

Author keywords

Ill posed problems; Image deblurring; Maximum likelihood estimation; Nonnegatively constrained minimization; Total variation regularization

Indexed keywords


EID: 67349157591     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-008-9081-8     Document Type: Article
Times cited : (57)

References (27)
  • 1
    • 36149030663 scopus 로고
    • Analysis of bounded variation penalty methods for ill-posed problems
    • R. Acar C.R. Vogel 1994 Analysis of bounded variation penalty methods for ill-posed problems Inverse Problems 10 1217 1229
    • (1994) Inverse Problems , vol.10 , pp. 1217-1229
    • Acar, R.1    Vogel, C.R.2
  • 2
    • 67349113124 scopus 로고    scopus 로고
    • A variational approach to reconstructing images corrupted by poisson noise
    • November
    • Asaki, T., Chartrand, R., Le, T.: A Variational Approach to Reconstructing Images Corrupted by Poisson Noise. UCLA CAM Report 05-49 (November 2005)
    • (2005) UCLA CAM Report , vol.5 , Issue.49
    • Asaki, T.1    Chartrand, R.2    Le, T.3
  • 3
    • 2342533731 scopus 로고    scopus 로고
    • A limited memory, quasi-newton preconditioner for nonnegatively constrained image reconstruction
    • J.M. Bardsley 2004 A limited memory, quasi-newton preconditioner for nonnegatively constrained image reconstruction J. Opt. Soc. Amer. A 21 5 724 731
    • (2004) J. Opt. Soc. Amer. A , vol.21 , Issue.5 , pp. 724-731
    • Bardsley, J.M.1
  • 4
    • 40849092848 scopus 로고    scopus 로고
    • Tikhonov regularized Poisson likelihood estimation: Theoretical justification and a computational method
    • January
    • J.M. Bardsley N. Laobeul 2008 Tikhonov regularized Poisson likelihood estimation: theoretical justification and a computational method Inverse Probl. Sci. Eng. 16 2 199 215 January
    • (2008) Inverse Probl. Sci. Eng. , vol.16 , Issue.2 , pp. 199-215
    • Bardsley, J.M.1    Laobeul, N.2
  • 5
    • 2342654684 scopus 로고    scopus 로고
    • A nonnnegatively constrained convex programming method for image reconstruction
    • J.M. Bardsley C.R. Vogel 2004 A nonnnegatively constrained convex programming method for image reconstruction SIAM J. Sci. Comput. 25 4 1326 1343
    • (2004) SIAM J. Sci. Comput. , vol.25 , Issue.4 , pp. 1326-1343
    • Bardsley, J.M.1    Vogel, C.R.2
  • 7
    • 0000377218 scopus 로고
    • Projected newton methods for optimization problems with simple constraints
    • D.P. Bertsekas 1982 Projected newton methods for optimization problems with simple constraints SIAM J. Control Optim. 20 221 246
    • (1982) SIAM J. Control Optim. , vol.20 , pp. 221-246
    • Bertsekas, D.P.1
  • 8
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • A. Chambolle P.-L. Lions 1997 Image recovery via total variation minimization and related problems Numer. Math. 76 2 167 188
    • (1997) Numer. Math. , vol.76 , Issue.2 , pp. 167-188
    • Chambolle, A.1    Lions, P.-L.2
  • 12
    • 28944434466 scopus 로고    scopus 로고
    • Statistics of images, the TV algorithm of Rudin-Osher-Fatemi for image denoising, and an improved denoising algorithm
    • UCLA (October
    • Green, M.: Statistics of images, the TV algorithm of Rudin-Osher-Fatemi for image denoising, and an improved denoising algorithm. CAM Report 02-55, UCLA (October 2002)
    • (2002) CAM Report , vol.2 , Issue.55
    • Green, M.1
  • 14
    • 34247500347 scopus 로고    scopus 로고
    • A variational approach to reconstructing images corrupted by poisson noise
    • DOI 10.1007/s10851-007-0652-y
    • T. Le R. Chartrand T.J. Asaki 2007 A variational approach to reconstructing images corruted by poisson noise J. Math. Imaging Vision 27 3 257 263 (Pubitemid 46664094)
    • (2007) Journal of Mathematical Imaging and Vision , vol.27 , Issue.3 , pp. 257-263
    • Le, T.1    Chartrand, R.2    Asaki, T.J.3
  • 15
    • 33845418028 scopus 로고
    • On the solution of large quadratic programming problems with bound constraints
    • J.J. More G. Toraldo 1991 On the solution of large quadratic programming problems with bound constraints SIAM J. Optim. 1 93 113
    • (1991) SIAM J. Optim. , vol.1 , pp. 93-113
    • More, J.J.1    Toraldo, G.2
  • 17
    • 0034246021 scopus 로고    scopus 로고
    • A statistical multiscale framework for poisson inverse problems
    • R. Nowak E. Kolaczyk 2000 A statistical multiscale framework for poisson inverse problems IEEE Trans. Inform. Theory 46 5 1811 1825
    • (2000) IEEE Trans. Inform. Theory , vol.46 , Issue.5 , pp. 1811-1825
    • Nowak, R.1    Kolaczyk, E.2
  • 18
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L.I. Rudin S. Osher E. Fatemi 1992 Nonlinear total variation based noise removal algorithms Phys. D 60 1-4 259 268
    • (1992) Phys. D , vol.60 , Issue.14 , pp. 259-268
    • Rudin, L.I.1    Osher, S.2    Fatemi, E.3
  • 19
    • 2142732992 scopus 로고    scopus 로고
    • Automatic smoothing with wavelets for a wide class of distributions
    • S. Sardy A. Antoniadis P. Tseng 2004 Automatic smoothing with wavelets for a wide class of distributions J. Comput. Graph. Statist. 13 2 1 23
    • (2004) J. Comput. Graph. Statist. , vol.13 , Issue.2 , pp. 1-23
    • Sardy, S.1    Antoniadis, A.2    Tseng, P.3
  • 20
    • 2142722218 scopus 로고    scopus 로고
    • On the Statistical Analysis of Smoothing by Maximizing Dirty Markov Random Field Posterior Distributions
    • S. Sardy P. Tseng 2004 On the statistical analysis of smoothing by maximizing dirty Markov random field posterior distributions J. Amer. Statist. Assoc. 99 465 191 204 (14) (Pubitemid 38545206)
    • (2004) Journal of the American Statistical Association , vol.99 , Issue.465 , pp. 191-204
    • Sardy, S.1    Tseng, P.2
  • 21
    • 0027597289 scopus 로고
    • Image recovery from data acquired with a charge-coupled-device camera
    • D.L. Snyder A.M. Hammoud R.L. White 1993 Image recovery from data acquired with a charge-coupled-device camera J. Opt. Soc. Amer. A 10 1014 1023
    • (1993) J. Opt. Soc. Amer. A , vol.10 , pp. 1014-1023
    • Snyder, D.L.1    Hammoud, A.M.2    White, R.L.3
  • 24
    • 0036462558 scopus 로고    scopus 로고
    • Edge-preserving tomographic reconstruction with nonlocal regularization
    • DOI 10.1109/42.993134, PII S0278006202029348
    • D.F. Yu J.A. Fessler 2002 Edge-preserving tomographic reconstruction with nonlocal regularization IEEE Trans. Med. Imag. 21 2 159 173 (Pubitemid 34466429)
    • (2002) IEEE Transactions on Medical Imaging , vol.21 , Issue.2 , pp. 159-173
    • Yu, D.F.1    Fessler, J.A.2
  • 26
    • 0032096686 scopus 로고    scopus 로고
    • Fast, robust total variation-based reconstruction of noisy, blurred images
    • PII S1057714998040020
    • C.R. Vogel M.E. Oman 1998 A fast, robust algorithm for total variation based reconstruction of noisy, blurred images IEEE Trans. Image Process. 7 813 824 (Pubitemid 128745393)
    • (1998) IEEE Transactions on Image Processing , vol.7 , Issue.6 , pp. 813-824
    • Vogel, C.R.1    Oman, M.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.