메뉴 건너뛰기




Volumn 9, Issue 2, 1999, Pages 243-259

A finite element approximation of an image segmentation problem

(1)  Cortesani, G a  

a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0346977559     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202599000130     Document Type: Article
Times cited : (5)

References (28)
  • 2
    • 0001400376 scopus 로고
    • A compactness theorem for a new class of functions of bounded variation
    • L. Ambrosio, A compactness theorem for a new class of functions of bounded variation, Boll. Un. Mat. Ital. 3-B (1989) 857-881.
    • (1989) Boll. Un. Mat. Ital. , vol.3 B , pp. 857-881
    • Ambrosio, L.1
  • 3
    • 34249965244 scopus 로고
    • Variational problems in SBV and image segmentation
    • L. Ambrosio, Variational problems in SBV and image segmentation, Acta Appl. Math. 17 (1989) 1-40.
    • (1989) Acta Appl. Math. , vol.17 , pp. 1-40
    • Ambrosio, L.1
  • 4
    • 0000465804 scopus 로고
    • Existence theory for a new class of variational problems
    • L. Ambrosio, Existence theory for a new class of variational problems, Arch. Rational Mech. Anal. 111 (1990) 291-322.
    • (1990) Arch. Rational Mech. Anal. , vol.111 , pp. 291-322
    • Ambrosio, L.1
  • 6
    • 0009422354 scopus 로고
    • The space SBV (Ω) and free discontinuity problems
    • eds. A. Friedman and J. Spruch Springer-Verlag
    • L. Ambrosio, The space SBV (Ω) and free discontinuity problems, in Variational and Free Boundary Problems, eds. A. Friedman and J. Spruch (Springer-Verlag, 1994), pp. 29-45.
    • (1994) Variational and Free Boundary Problems , pp. 29-45
    • Ambrosio, L.1
  • 7
    • 0000902474 scopus 로고
    • A new proof of the SBV compactness theorem
    • L. Ambrosio, A new proof of the SBV compactness theorem, Calc. Var. 3 (1995) 127-137.
    • (1995) Calc. Var. , vol.3 , pp. 127-137
    • Ambrosio, L.1
  • 8
    • 34748925841 scopus 로고
    • Approximation of functional depending on jumps by elliptic functional via Γ-convergence
    • L. Ambrosio and V. M. Tortorelli, Approximation of functional depending on jumps by elliptic functional via Γ-convergence, Comm. Pure Appl. Math. 43 (1990) 999-1036.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 999-1036
    • Ambrosio, L.1    Tortorelli, V.M.2
  • 9
    • 0000654840 scopus 로고
    • On the approximation of functional depending on jumps by quadratic, elliptic functionals
    • L. Ambrosio and V. M. Tortorelli, On the approximation of functional depending on jumps by quadratic, elliptic functionals, Boll. Un. Mat. Ital. 6-B (1992) 105-123.
    • (1992) Boll. Un. Mat. Ital. , vol.6 B , pp. 105-123
    • Ambrosio, L.1    Tortorelli, V.M.2
  • 10
    • 0040745183 scopus 로고
    • Discrete approximation of a free discontinuity problem
    • G. Bellettini and A. Coscia, Discrete approximation of a free discontinuity problem, Numer. Funct. Anal. Opt. 15 (1994) 201-224.
    • (1994) Numer. Funct. Anal. Opt. , vol.15 , pp. 201-224
    • Bellettini, G.1    Coscia, A.2
  • 12
    • 0000121920 scopus 로고    scopus 로고
    • Nonlocal approximation of the Mumford-Shah functional
    • A. Braides and G. Dal Maso, Nonlocal approximation of the Mumford-Shah functional, Calc. Var. 5 (1997) 293-322.
    • (1997) Calc. Var. , vol.5 , pp. 293-322
    • Braides, A.1    Dal Maso, G.2
  • 19
    • 0000532812 scopus 로고
    • Existence theorem for a minimum problem with free discontinuities
    • E. De Giorgi, M. Carriero and A. Leaci, Existence theorem for a minimum problem with free discontinuities, Arch. Rational Mech. Anal. 108 (1989) 195-218.
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 195-218
    • De Giorgi, E.1    Carriero, M.2    Leaci, A.3
  • 26
    • 84990602490 scopus 로고
    • Optimal approximation by piecewise smooth functions and associated variational problems
    • D. Mumford and J. Shah, Optimal approximation by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math. 17 (1989) 577-685.
    • (1989) Comm. Pure Appl. Math. , vol.17 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 28
    • 0000466572 scopus 로고
    • On the finite element method
    • M. Zlámal, On the finite element method, Numer. Math. 12 (1968) 394-409.
    • (1968) Numer. Math. , vol.12 , pp. 394-409
    • Zlámal, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.