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Volumn 4791, Issue , 2002, Pages 233-242

Large-scale optimization techniques for nonnegative image restorations

Author keywords

Image restoration; Interior point method; Lanczos method; Regularization; Trust region

Indexed keywords

ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; NUMERICAL METHODS; OPTIMIZATION;

EID: 0036989597     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.452008     Document Type: Conference Paper
Times cited : (4)

References (19)
  • 3
    • 0001520871 scopus 로고    scopus 로고
    • Positive solutions to linear inverse problems
    • G.D. de Villiers, B. McNally, and E.R. Pike, "Positive solutions to linear inverse problems", Inverse Problems, 15, pp. 615-635, 1999.
    • (1999) Inverse Problems , vol.15 , pp. 615-635
    • De Villiers, G.D.1    McNally, B.2    Pike, E.R.3
  • 4
    • 0000808541 scopus 로고    scopus 로고
    • An algorithm for quadratic optimization with one quadratic constraints and bounds on the variables
    • G.C. Fehmers, L.P.J. Kamp and F.W. Sluijter, "An algorithm for quadratic optimization with one quadratic constraints and bounds on the variables", Inverse Problems, 14, pp. 893-901, 1998.
    • (1998) Inverse Problems , vol.14 , pp. 893-901
    • Fehmers, G.C.1    Kamp, L.P.J.2    Sluijter, F.W.3
  • 5
    • 0004236492 scopus 로고    scopus 로고
    • Johns Hopkins University Press, Baltimore, third ed.
    • G.H. Golub and C.F. Van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore, third ed., 1996.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 6
    • 0034371891 scopus 로고    scopus 로고
    • Quasi-Newton approach to nonnegative image restorations
    • M. Hanke, J.G. Nagy, and C. Vogel, "Quasi-Newton Approach to Nonnegative Image Restorations", Lin. Alg. Appl., 316, pp. 223-236, 2000.
    • (2000) Lin. Alg. Appl. , vol.316 , pp. 223-236
    • Hanke, M.1    Nagy, J.G.2    Vogel, C.3
  • 7
    • 13344267706 scopus 로고
    • Regularization tools: A MATLAB package for analysis and solution of discrete ill-posed problems
    • P.C. Hansen, "Regularization Tools: a MATLAB package for analysis and solution of discrete ill-posed problems", Numer. Algo., 6, pp. 1-35, 1994.
    • (1994) Numer. Algo. , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 8
    • 0012747629 scopus 로고    scopus 로고
    • Iterative methods for image restoration: A Matlab object oriented approach
    • K.P. Lee, J.G. Nagy and L. Perrone. Iterative methods for image restoration: a Matlab object oriented approach, available fromhttp://www.mathcs.emory.edu/~nagy/RestoreTools/index.html.
    • Lee, K.P.1    Nagy, J.G.2    Perrone, L.3
  • 10
    • 0001169043 scopus 로고    scopus 로고
    • Restoring images degraded by spatially-variant blur
    • J.G. Nagy and D.P. O'Leary, Restoring images degraded by spatially-variant blur. SIAM J. Sci. Comput., 19, pp. 1063-1082, 1998.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1063-1082
    • Nagy, J.G.1    O'Leary, D.P.2
  • 11
    • 0033661265 scopus 로고    scopus 로고
    • Enforcing nonnegativity in image reconstruction algorithms
    • David C. Wilson, et al, eds.
    • J.G. Nagy and Z. Strakos, "Enforcing nonnegativity in image reconstruction algorithms", in Mathematical Modeling, Estimation, and Imaging, 4121, David C. Wilson, et al, eds., pp. 182-190, 2000.
    • (2000) Mathematical Modeling, Estimation, and Imaging , vol.4121 , pp. 182-190
    • Nagy, J.G.1    Strakos, Z.2
  • 12
    • 0000817395 scopus 로고    scopus 로고
    • Projected landweber method and preconditioning
    • M. Piana and M. Bertero, "Projected Landweber method and preconditioning", Inverse Problems, 13, pp. 441-464, 1997.
    • (1997) Inverse Problems , vol.17 , pp. 441-464
    • Piana, M.1    Bertero, M.2
  • 13
    • 0003640985 scopus 로고    scopus 로고
    • A large-scale trust-region approach to the regularization of discrete ill-posed problems
    • Ph.D. Thesis, Technical Report TR98-19, Department of Computational and Applied Mathematics, Rice University, Houston, May
    • M. Rojas, A Large-Scale Trust-Region Approach to the Regularization of Discrete Ill-Posed Problems, Ph.D. Thesis, Technical Report TR98-19, Department of Computational and Applied Mathematics, Rice University, Houston, May 1998.
    • (1998)
    • Rojas, M.1
  • 14
    • 18044401847 scopus 로고    scopus 로고
    • A new matrix-free algorithm for the large-scale trust-region subproblem
    • M. Rojas, S.A. Santos, and D.C. Sorensen, "A new matrix-free algorithm for the large-scale trust-region subproblem", SIAM J. Optim., 11(3), pp. 611-646, 2000.
    • (2000) SIAM J. Optim. , vol.11 , Issue.3 , pp. 611-646
    • Rojas, M.1    Santos, S.A.2    Sorensen, D.C.3
  • 15
    • 85081192929 scopus 로고    scopus 로고
    • A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems
    • M. Rojas and D. C. Sorensen, "A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems", SIAM J. Sci. Comput., 26(3), pp. 1843-1861, 2002.
    • (2002) SIAM J. Sci. Comput. , vol.26 , Issue.3 , pp. 1843-1861
    • Rojas, M.1    Sorensen, D.C.2
  • 16
    • 85081192480 scopus 로고    scopus 로고
    • An interior-point trust-region-based method for large-scale nonnegative regularization
    • to appear
    • M. Rojas and T. Steihaug, "An interior-point trust-region-based method for large-scale nonnegative regularization", Inverse Problems, to appear.
    • Inverse Problems
    • Rojas, M.1    Steihaug, T.2
  • 17
    • 0000322706 scopus 로고
    • Implicit application of polynomial filters in a k-step Arnoldi method
    • D.C. Sorensen, "Implicit application of polynomial filters in a k-step Arnoldi method", SIAM J. Matrix Anal. Appl., 13(1), pp. 357-385, 1992.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , Issue.1 , pp. 357-385
    • Sorensen, D.C.1
  • 19
    • 0020191832 scopus 로고
    • Image restoration by the method of convex projections: Part 1 - Theory
    • October
    • D.C. Youla and H. Webb, "Image restoration by the method of convex projections: part 1 - theory", IEEE Trans. Med. Imag., MI-1(2), pp. 81-94, October 1982.
    • (1982) IEEE Trans. Med. Imag. , vol.MI-1 , Issue.2 , pp. 81-94
    • Youla, D.C.1    Webb, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.