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Volumn 41, Issue 1, 2006, Pages 79-101

Numerical aspects of TV flow

Author keywords

Finite difference methods; Numerical stability; Singular diffusion equation; TV flow

Indexed keywords


EID: 30844452679     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11075-005-9006-2     Document Type: Article
Times cited : (10)

References (21)
  • 1
    • 36149030663 scopus 로고
    • Analysis of bounded variation penalty methods for ill-posed problems
    • R. Acar and C.R. Vogel, Analysis of bounded variation penalty methods for ill-posed problems, Inverse Probl. 10 (1994) 1217-1229.
    • (1994) Inverse Probl. , vol.10 , pp. 1217-1229
    • Acar, R.1    Vogel, C.R.2
  • 4
    • 0036473319 scopus 로고    scopus 로고
    • Qualitative properties of the total variation flow
    • F. Andreu, V. Caselles, J.I. Diaz and J.M. Mazón, Qualitative properties of the total variation flow, J. Funct. Anal. 188(2) (2002) 516-547.
    • (2002) J. Funct. Anal. , vol.188 , Issue.2 , pp. 516-547
    • Andreu, F.1    Caselles, V.2    Diaz, J.I.3    Mazón, J.M.4
  • 6
    • 0035250066 scopus 로고    scopus 로고
    • The digital TV filter and nonlinear denoising
    • T.F. Chan, S. Osher and J. Shen, The digital TV filter and nonlinear denoising, IEEE Trans. Image Process. 10(2) (2001) 231-241.
    • (2001) IEEE Trans. Image Process. , vol.10 , Issue.2 , pp. 231-241
    • Chan, T.F.1    Osher, S.2    Shen, J.3
  • 7
    • 0042687843 scopus 로고    scopus 로고
    • Global total variation minimisation
    • F. Dibos and G. Koepfler, Global total variation minimisation, SIAM J. Numer. Anal. 37(2) (2000) 646-664.
    • (2000) SIAM J. Numer. Anal. , vol.37 , Issue.2 , pp. 646-664
    • Dibos, F.1    Koepfler, G.2
  • 8
    • 0038041043 scopus 로고    scopus 로고
    • Analysis of total variation flow and its finite element approximations
    • X. Feng and A. Prohl, Analysis of total variation flow and its finite element approximations, Mathematical Modelling and Numerical Analysis 37(3) (2003) 533-556.
    • (2003) Mathematical Modelling and Numerical Analysis , vol.37 , Issue.3 , pp. 533-556
    • Feng, X.1    Prohl, A.2
  • 9
    • 0005698022 scopus 로고
    • Vorzeichenstabile differenzenverfahren für parabolische anfangsrandwertaufgaben
    • K. Glashoff and H. Kreth, Vorzeichenstabile Differenzenverfahren für parabolische Anfangsrandwertaufgaben, Numer. Math. 35 (1980) 343-354.
    • (1980) Numer. Math. , vol.35 , pp. 343-354
    • Glashoff, K.1    Kreth, H.2
  • 10
    • 0036982896 scopus 로고    scopus 로고
    • Image processing for numerical approximations of conservation laws: Nonlinear anisotropic artificial dissipation
    • T. Grahs, A. Meister and T. Sonar, Image processing for numerical approximations of conservation laws: nonlinear anisotropic artificial dissipation, SIAM J. Sci. Comput. 23 (2002) 1439-1455.
    • (2002) SIAM J. Sci. Comput. , vol.23 , pp. 1439-1455
    • Grahs, T.1    Meister, A.2    Sonar, T.3
  • 16
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L.I. Rudin, S. Osher and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D 60 (1992) 259-268.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.I.1    Osher, S.2    Fatemi, E.3
  • 19
    • 13244274395 scopus 로고    scopus 로고
    • On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularisation, and SIDEs
    • G. Steidl, J. Weickert, T. Brox, P. Mrázek and M. Welk, On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularisation, and SIDEs, SIAM J. Numer. Anal. 42(2) (2004) 686-713.
    • (2004) SIAM J. Numer. Anal. , vol.42 , Issue.2 , pp. 686-713
    • Steidl, G.1    Weickert, J.2    Brox, T.3    Mrázek, P.4    Welk, M.5
  • 20
    • 0037091114 scopus 로고    scopus 로고
    • Shock capturing by anisotropic diffusion oscillation reduction
    • G. Wei, Shock capturing by anisotropic diffusion oscillation reduction, Comput. Phys. Commun. 144 (2002) 317-342.
    • (2002) Comput. Phys. Commun. , vol.144 , pp. 317-342
    • Wei, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.