메뉴 건너뛰기




Volumn 100, Issue 2, 2000, Pages 81-105

Nonmonotone and monotone active-set methods for image restoration, Part 2: Numerical results

Author keywords

Active set methods; Bounded variations; Image restoration

Indexed keywords

COMPUTERIZED TOMOGRAPHY; CONSTRAINED OPTIMIZATION; ITERATIVE METHODS; NUMERICAL METHODS; RESTORATION;

EID: 0033164074     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004607123926     Document Type: Article
Times cited : (13)

References (15)
  • 1
    • 0033164216 scopus 로고    scopus 로고
    • Nonmonotone and monotone active set methods for image restoration, Part 1: Convergence analysis
    • 1. KäRKKäINEN, T., and MAJAVA, K., Nonmonotone and Monotone Active Set Methods for Image Restoration, Part 1: Convergence Analysis, Journal of Optimization Theory and Applications, Vol. 106, pp. 61-80, 2000.
    • (2000) Journal of Optimization Theory and Applications , vol.106 , pp. 61-80
    • Kärkkäinen, T.1    Majava, K.2
  • 2
    • 44049111982 scopus 로고
    • Nonlinear total-variation based noise removal algorithms
    • 2. RUDIN, L. I., OSHER, S., and FATEMI, E., Nonlinear Total-Variation Based Noise Removal Algorithms, Physica D, Vol. 60, pp. 259-268, 1992.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.I.1    Osher, S.2    Fatemi, E.3
  • 3
    • 0001556589 scopus 로고    scopus 로고
    • Iterative methods for total-variation denoising
    • 3. VOGEL, C. R., and OMAN, M. E., Iterative Methods for Total-Variation Denoising, SIAM Journal on Scientific Computing, Vol. 17, pp. 227-238, 1996.
    • (1996) SIAM Journal on Scientific Computing , vol.17 , pp. 227-238
    • Vogel, C.R.1    Oman, M.E.2
  • 4
    • 0032096686 scopus 로고    scopus 로고
    • Fast, robust total-variation based reconstruction of noisy, blurred images
    • 4. VOGEL, C. R., and OMAN, M. E., Fast, Robust Total-Variation Based Reconstruction of Noisy, Blurred Images, IEEE Transactions on Image Processing, Vol. 7, pp. 813-824, 1998.
    • (1998) IEEE Transactions on Image Processing , vol.7 , pp. 813-824
    • Vogel, C.R.1    Oman, M.E.2
  • 5
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total-variation based image restoration
    • 5. CHAN, T., GOLUB, G., and MULET, P., A Nonlinear Primal-Dual Method for Total-Variation Based Image Restoration, SIAM Journal on Scientific Computing, Vol. 20, pp. 1964-1977, 1999.
    • (1999) SIAM Journal on Scientific Computing , vol.20 , pp. 1964-1977
    • Chan, T.1    Golub, G.2    Mulet, P.3
  • 6
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total-variation minimization and related problems
    • 6. CHAMBOLLE, A., and LIONS, P. L., Image Recovery via Total-Variation Minimization and Related Problems, Numerische Mathematik, Vol. 76, pp. 167-188, 1997.
    • (1997) Numerische Mathematik , vol.76 , pp. 167-188
    • Chambolle, A.1    Lions, P.L.2
  • 7
    • 0033457563 scopus 로고    scopus 로고
    • An active set strategy based on the augmented Lagrangian formulation for image restoration
    • 7. ITO, K., and KUNISCH, K., An Active Set Strategy Based on the Augmented Lagrangian Formulation for Image Restoration, Mathematical Modelling and Numerical Analysis, Vol. 33, pp. 1-21, 1999.
    • (1999) Mathematical Modelling and Numerical Analysis , vol.33 , pp. 1-21
    • Ito, K.1    Kunisch, K.2
  • 10
    • 0033181496 scopus 로고    scopus 로고
    • Regularization by functions of bounded variation and applications to image enhancement
    • 10. CASAS, E., KUNISCH, K., and POLA, C., Regularization by Functions of Bounded Variation and Applications to Image Enhancement, Applied Mathematics and Optimization, Vol. 40, pp. 229-257, 1999.
    • (1999) Applied Mathematics and Optimization , vol.40 , pp. 229-257
    • Casas, E.1    Kunisch, K.2    Pola, C.3
  • 13
    • 0000906396 scopus 로고
    • Augmented Lagrangian formulation of nonsmooth, convex optimization in Hilbert spaces
    • Control of Partial Differential Equations and Applications, Edited by E. Casas, Marcel Dekker, New York, NY
    • 13. ITO, K., and KUNISCH, K., Augmented Lagrangian Formulation of Nonsmooth, Convex Optimization in Hilbert Spaces, Control of Partial Differential Equations and Applications, Edited by E. Casas, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York, NY, Vol. 174, pp. 107-117, 1995.
    • (1995) Lecture Notes in Pure and Applied Mathematics , vol.174 , pp. 107-117
    • Ito, K.1    Kunisch, K.2
  • 14
    • 0003244186 scopus 로고
    • Convex analysis and variational problems
    • North-Holland, Amsterdam, Holland
    • 14. EKELAND, I., and TEMAM, R., Convex Analysis and Variational Problems, Studies in Mathematics and Its Applications, North-Holland, Amsterdam, Holland, Vol. 1, 1976.
    • (1976) Studies in Mathematics and Its Applications , vol.1
    • Ekeland, I.1    Temam, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.