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Volumn 36, Issue 2, 1999, Pages 354-367

On the convergence of the lagged diffusivity fixed point method in total variation image restoration

Author keywords

Fixed point; Image restoration; Total variation; Weiszfeld's method

Indexed keywords


EID: 0000668458     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142997327075     Document Type: Article
Times cited : (181)

References (13)
  • 1
    • 36149030663 scopus 로고
    • Analysis of total variation penalty methods for ill-posed problems
    • R. ACAR AND C. R. VOGEL, Analysis of total variation penalty methods for ill-posed problems, Inverse Prob., 10 (1994), pp. 1217-1229.
    • (1994) Inverse Prob. , vol.10 , pp. 1217-1229
    • Acar, R.1    Vogel, C.R.2
  • 2
    • 0039336857 scopus 로고
    • Deterministic Edge-Preserving Regularization in Computed Imaging
    • Informatique, Signaux et Systèmes de Sophia Antipolis, France
    • G. AUBERT, M. BARLAUD, L. BLANC-FÉRAUD, AND P. CHARBONNIER, Deterministic Edge-Preserving Regularization in Computed Imaging, Technical report 94-01, Informatique, Signaux et Systèmes de Sophia Antipolis, France, 1994.
    • (1994) Technical Report 94-01
    • Aubert, G.1    Barlaud, M.2    Blanc-Féraud, L.3    Charbonnier, P.4
  • 3
    • 0043078276 scopus 로고    scopus 로고
    • Technical report, UCLA Cam report 97-42, Department of Mathematics, UCLA, Los Angeles, CA, September
    • P. BLOMGREN, T. F. CHAN, AND P. MULET, Extensions to Total Variation Denoising, Technical report, UCLA Cam report 97-42, Department of Mathematics, UCLA, Los Angeles, CA, September 1997.
    • (1997) Extensions to Total Variation Denoising
    • Blomgren, P.1    Chan, T.F.2    Mulet, P.3
  • 4
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • A. CHAMBOLLE AND P.-L. LIONS, Image recovery via total variation minimization and related problems, Numer. Math., 76 (1997), pp. 167-188.
    • (1997) Numer. Math , vol.76 , pp. 167-188
    • Chambolle, A.1    Lions, P.-L.2
  • 5
    • 84946564183 scopus 로고
    • Continuation method for total variation denoising problems
    • F. T. Luk, ed., SPIE-The International Society for Optical Engrg. Proceedings 2563, SPIE, Washington, DC
    • R. H. CHAN, T. F. CHAN, AND H. M. ZHOU, Continuation method for total variation denoising problems, in Advanced Signal Processing Algorithms, F. T. Luk, ed., SPIE-The International Society for Optical Engrg. Proceedings 2563, 1995, SPIE, Washington, DC, pp. 314-325.
    • (1995) Advanced Signal Processing Algorithms , pp. 314-325
    • Chan, R.H.1    Chan, T.F.2    Zhou, H.M.3
  • 6
    • 0005352194 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for Total Variation-based image restoration
    • ICAOS '96, 12th Intl. Conf. on Analysis and Optimization of Systems: Images, Wavelets and PDE's, M. O. Berger, R. Deriche, I. Herlin, J. Jaffre, and J. M. Morel, eds., Springer-Verlag, New York
    • T. F. CHAN, G. H. GOLUB, AND P. MULET, A nonlinear primal-dual method for Total Variation-based image restoration, in ICAOS '96, 12th Intl. Conf. on Analysis and Optimization of Systems: Images, Wavelets and PDE's, Lecture Notes in Control and Inform. Sci. 219, M. O. Berger, R. Deriche, I. Herlin, J. Jaffre, and J. M. Morel, eds., Springer-Verlag, New York, 1996, pp. 241-252.
    • (1996) Lecture Notes in Control and Inform. Sci. , vol.219 , pp. 241-252
    • Chan, T.F.1    Golub, G.H.2    Mulet, P.3
  • 7
    • 0000427927 scopus 로고    scopus 로고
    • Convergence of an iterative method for total variation denoising
    • D. C. DOBSON AND C. R. VOGEL, Convergence of an iterative method for total variation denoising, SIAM J. Numer. Anal., 34 (1997), pp. 1779-1791.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1779-1791
    • Dobson, D.C.1    Vogel, C.R.2
  • 9
    • 0029341230 scopus 로고
    • Non-linear image recovery with half-quadratic regularisation and FFTs
    • D. GEMAN AND C. YANG, Non-linear image recovery with half-quadratic regularisation and FFTs, IEEE Trans. Imaging Process., 4 (1995), pp. 932-946.
    • (1995) IEEE Trans. Imaging Process , vol.4 , pp. 932-946
    • Geman, D.1    Yang, C.2
  • 10
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. RUDIN, S. OSHER, AND E. FATEMI, Nonlinear total variation based noise removal algorithms, Phys. D, 60 (1992), pp. 259-268.
    • (1992) Phys. D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 11
    • 0001556589 scopus 로고    scopus 로고
    • Iterative methods for total variation denoising
    • C. R. VOGEL AND M. E. OMAN, Iterative methods for total variation denoising, SIAM J. Sci. Comput., 17 (1996), pp. 227-238.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 227-238
    • Vogel, C.R.1    Oman, M.E.2
  • 12
    • 0008520850 scopus 로고
    • Linear convergence of generalized Weiszfeld's method
    • H. VOSS AND U. ECKHARDT, Linear convergence of generalized Weiszfeld's method, Computing, 25 (1980), pp. 243-251.
    • (1980) Computing , vol.25 , pp. 243-251
    • Voss, H.1    Eckhardt, U.2
  • 13
    • 0000281286 scopus 로고
    • Sur le point pour lequel la somme des distances de n points donnés est minimum
    • E. WEISZFELD, Sur le point pour lequel la somme des distances de n points donnés est minimum, Tôhoku Math. J., 43 (1937), pp. 355-386.
    • (1937) Tôhoku Math. J. , vol.43 , pp. 355-386
    • Weiszfeld, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.