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Volumn 51, Issue 2, 1998, Pages 197-228

Finite difference approximation of the Mumford-Shah functional

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EID: 0032338171     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199802)51:2<197::AID-CPA3>3.0.CO;2-6     Document Type: Article
Times cited : (106)

References (19)
  • 1
    • 0004392136 scopus 로고    scopus 로고
    • A note on the theory of SBV functions
    • Alberti, G., and Mantegazza, C., A note on the theory of SBV functions, Boll. Un. Mat. Ital. B (7) 11, 1997, pp. 375-382.
    • (1997) Boll. Un. Mat. Ital. B , vol.11 , Issue.7 , pp. 375-382
    • Alberti, G.1    Mantegazza, C.2
  • 2
    • 0001400376 scopus 로고
    • A compactness theorem for a new class of functions of bounded variation
    • Ambrosio, L., A compactness theorem for a new class of functions of bounded variation, Boll. Un. Mat. Ital. B (7) 3, 1989, pp. 857-881.
    • (1989) Boll. Un. Mat. Ital. B , vol.3 , Issue.7 , pp. 857-881
    • Ambrosio, L.1
  • 3
    • 0000465804 scopus 로고
    • Existence theory for a new class of variational problems
    • Ambrosio, L., Existence theory for a new class of variational problems, Arch. Rational Mech. Anal. 111, 1990, pp. 291-322.
    • (1990) Arch. Rational Mech. Anal. , vol.111 , pp. 291-322
    • Ambrosio, L.1
  • 5
    • 34748925841 scopus 로고
    • Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence
    • Ambrosio, L., and Tortorelli, V. M., Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence, Comm. Pure Appl. Math. 43, 1990, pp. 999-1036.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 999-1036
    • Ambrosio, L.1    Tortorelli, V.M.2
  • 6
    • 0000654840 scopus 로고
    • On the approximation of free discontinuity problems
    • Ambrosio, L., and Tortorelli, V. M., On the approximation of free discontinuity problems, Boll. Un. Mat. Ital. B (7) 6, 1992, pp. 105-123.
    • (1992) Boll. Un. Mat. Ital. B , vol.6 , Issue.7 , pp. 105-123
    • Ambrosio, L.1    Tortorelli, V.M.2
  • 8
    • 0000121920 scopus 로고    scopus 로고
    • Non-local approximation of the Mumford-Shah functional
    • Braides, A., and Dal Maso, G., Non-local approximation of the Mumford-Shah functional, Calc. Var. Partial Differential Equations 5(4), 1997, pp. 293-322.
    • (1997) Calc. Var. Partial Differential Equations , vol.5 , Issue.4 , pp. 293-322
    • Braides, A.1    Dal Maso, G.2
  • 9
    • 0029328073 scopus 로고
    • Image segmentation by variational methods: Mumford and Shah functional and the discrete approximations
    • Chambolle, A., Image segmentation by variational methods: Mumford and Shah functional and the discrete approximations, SIAM J. Appl. Math. 55, 1995, pp. 827-863.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 827-863
    • Chambolle, A.1
  • 12
    • 0000532812 scopus 로고
    • Existence theorem for a minimum problem with free discontinuity set
    • De Giorgi, E., Carriero, G., and Leaci, A., Existence theorem for a minimum problem with free discontinuity set, Arch. Rational Mech. Anal. 108, 1989, pp. 195-218.
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 195-218
    • De Giorgi, E.1    Carriero, G.2    Leaci, A.3
  • 17
    • 84990602490 scopus 로고
    • Optimal approximation by piecewise smooth functions and associated variational problem
    • Mumford, D., and Shah, J., Optimal approximation by piecewise smooth functions and associated variational problem, Comm. Pure Appl. Math. 42, 1989, pp. 577-685.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 18
    • 5244330511 scopus 로고
    • Drops of nematic liquid crystals
    • Virga, E. G., Drops of nematic liquid crystals, Arch. Rational Mech. Anal. 107, 1989, pp. 371-390.
    • (1989) Arch. Rational Mech. Anal. , vol.107 , pp. 371-390
    • Virga, E.G.1
  • 19
    • 0003320023 scopus 로고
    • Weakly differentiable functions
    • Springer-Verlag, New York
    • Ziemer, W. P., Weakly Differentiable Functions, Graduate Texts in Mathematics, Vol. 120, Springer-Verlag, New York, 1989.
    • (1989) Graduate Texts in Mathematics , vol.120
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.