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Volumn 27, Issue 1, 1998, Pages 145-193

Gradient Flow for the One-Dimensional Mumford-Shah Functional

Author keywords

evolution equations; gradient flow; Mumford Shah functional; SBV functions; convergence

Indexed keywords


EID: 0037494077     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (22)
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  • 3
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    • L . AMBROSIO, Free Discontinuity Problems and Special Functions with Bounded Variation, Proceedings E C M 2 Budapest 1996, Progress in Mathematics 168 (1998), 15-35.
    • (1998) Progress in Mathematics , vol.168 , pp. 15-35
    • AMBROSIO, L .1
  • 4
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    • Energies in SBV and Variational Models in Fracture Mechanics
    • (D. Cioranescu, A. Damlamian, P. Donato eds), Gakuto, Gakkötosho, Tokio, Japan
    • L . AMBROSIO - A. BRAIDES, Energies in SBV and Variational Models in Fracture Mechanics, in Homogenization and Applications to Material Sciences, (D. Cioranescu, A. Damlamian, P. Donato eds.), Gakuto, Gakkötosho, Tokio, Japan, 1997, p. 1-22.
    • (1997) Homogenization and Applications to Material Sciences , pp. 1-22
    • AMBROSIO, L .1    BRAIDES, A.2
  • 5
    • 84990585710 scopus 로고
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  • 6
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    • On the Approximation ofFree Discontinuity Problems
    • L . AMBROSIO - V. M . TORTORELU, On the Approximation ofFree Discontinuity Problems, Boll. Un. Mat. Ital. 6-B (1992), 105-123.
    • (1992) Boll. Un. Mat. Ital , vol.6-B , pp. 105-123
    • AMBROSIO, L .1    TORTORELU, V. M .2
  • 8
    • 0003282411 scopus 로고
    • Opérateures Maximaux Monotones et Semigroups de Contraction dans les Espaces de Hilbert
    • H. BREZIS, "Opérateures Maximaux Monotones et Semigroups de Contraction dans les Espaces de Hilbert", North-Holland Mathematics Studies, n. 5 (1973).
    • (1973) North-Holland Mathematics Studies , Issue.5
    • BREZIS, H.1
  • 10
    • 0029328073 scopus 로고
    • Image segmentation by variational methods: Mumford and Shah functional and the discrete approximations
    • A . CHAMBOLLE, Image segmentation by variational methods: Mumford and Shah functional and the discrete approximations, S I A M J. Appi. Math. 55 (1995), 827-863.
    • (1995) S I A M J. Appi. Math , vol.55 , pp. 827-863
    • CHAMBOLLE, A .1
  • 11
    • 85129543118 scopus 로고    scopus 로고
    • DiscreteApproximation oftheMumford-ShahFunctional in Dimension two
    • to appear
    • A. CHAMBOLLE - G. DAL Mkso, DiscreteApproximation oftheMumford-ShahFunctional in Dimension two, RAIRO Model. Math. Anal. Numèr., to appear
    • RAIRO Model. Math. Anal. Numèr
    • CHAMBOLLE, A.1    DAL Mkso, G.2
  • 14
    • 0000532812 scopus 로고
    • Existence theoremforaminimumproblemwith free discontinuity set
    • E . DE GIORGI - G. CARRIERO - A. LEACI, Existence theoremforaminimumproblemwith free discontinuity set. Arch. Rational Mech. Anal. 108 (1989), 195-218.
    • (1989) Arch. Rational Mech. Anal , vol.108 , pp. 195-218
    • DE GIORGI, E .1    CARRIERO, G.2    LEACI, A.3
  • 18
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    • Finite Difference Approximation ofthe Mumford-Shah Functional
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  • 20
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  • 21
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    • (1989) Comm. Pure Appi. Math , vol.17 , pp. 577-685
    • MuMFORD, D.1    SHAH, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.