메뉴 건너뛰기




Volumn 42, Issue 3, 2004, Pages 1128-1145

Γ-Convergence of discrete functionals with nonconvex perturbation for image classification

Author keywords

convergence; Finite elements; Image processing; Phase transitions

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; FLUID MECHANICS; FUNCTIONS; FUZZY CONTROL; PERTURBATION TECHNIQUES; PHASE TRANSITIONS; REMOTE SENSING; THEOREM PROVING;

EID: 21244443886     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142902412336     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 0003282839 scopus 로고    scopus 로고
    • Functions of bounded variation and free discontinuity problems
    • Oxford University Press, New York
    • L. AMBROSIO, N. FUSCO, AND D. PALLARA, Functions of Bounded Variation and Free Discontinuity Problems, Oxford Math. Monogr., Oxford University Press, New York, 2000.
    • (2000) Oxford Math. Monogr.
    • Ambrosio, L.1    Fusco, N.2    Pallara, D.3
  • 2
    • 33847303953 scopus 로고
    • Multiphase thermomechanics with interfacial structure II. Evolution of an isothermal interface
    • S. ANGENENT AND M. E. GURTIN, Multiphase thermomechanics with interfacial structure II. Evolution of an isothermal interface, Arch. Ration. Mech. Anal., 108 (1989), pp. 323-391.
    • (1989) Arch. Ration. Mech. Anal. , vol.108 , pp. 323-391
    • Angenent, S.1    Gurtin, M.E.2
  • 3
    • 85049184544 scopus 로고    scopus 로고
    • Mathematical problems in image processing
    • Springer-Verlag, New York
    • G. AUBERT AND P. KORNPROBST, Mathematical Problems in Image Processing, Appl. Math. Sci. 147, Springer-Verlag, New York, 2002.
    • (2002) Appl. Math. Sci. , vol.147
    • Aubert, G.1    Kornprobst, P.2
  • 4
    • 84935168793 scopus 로고
    • Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids
    • S. BALDO, Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids, Ann. Inst. H. Poincaré Anal. Non Linéaire, 7 (1990), pp. 67-90.
    • (1990) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.7 , pp. 67-90
    • Baldo, S.1
  • 5
    • 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. Optim., 15 (1994), pp. 201-224.
    • (1994) Numer. Funct. Anal. Optim. , vol.15 , pp. 201-224
    • Bellettini, G.1    Coscia, A.2
  • 7
    • 51249172328 scopus 로고
    • Numerical minimization of geometrical type problems related to calculus of variations
    • G. BELLETTINI, M. PAOLINI, AND C. VERDI, Numerical minimization of geometrical type problems related to calculus of variations, Calcolo, 27 (1990), pp. 251-278.
    • (1990) Calcolo , vol.27 , pp. 251-278
    • Bellettini, G.1    Paolini, M.2    Verdi, C.3
  • 8
    • 0034412473 scopus 로고    scopus 로고
    • Implementation of an adaptive finite-element approximation of the mumford-shah functional
    • B. BOURDIN AND A. CHAMBOLLE, Implementation of an adaptive finite-element approximation of the Mumford-Shah functional, Numer. Math., 85 (2000), pp. 609-646.
    • (2000) Numer. Math. , vol.85 , pp. 609-646
    • Bourdin, B.1    Chambolle, A.2
  • 9
    • 0033438682 scopus 로고    scopus 로고
    • Discrete approximation of the mumford-shah functional in dimension two
    • A. CHAMBOLLE AND G. DAL MASO, Discrete approximation of the Mumford-Shah functional in dimension two, M2AN Math. Model. Numer. Anal., 33 (1999), pp. 651-672.
    • (1999) M2AN Math. Model. Numer. Anal. , vol.33 , pp. 651-672
    • Chambolle, A.1    Dal Maso, G.2
  • 13
    • 84975994718 scopus 로고
    • The gradient theory of phase transitions for systems with two potential wells
    • I. FONSECA AND L. TARTAR, The gradient theory of phase transitions for systems with two potential wells, Proc. Roy. Soc. Edinburgh Sect. A, 111 (1989), pp. 89-102.
    • (1989) Proc. Roy. Soc. Edinburgh Sect. A , vol.111 , pp. 89-102
    • Fonseca, I.1    Tartar, L.2
  • 16
    • 0033738219 scopus 로고    scopus 로고
    • Texture analysis through a Markovian modelling and fuzzy classification: Application to urban area extraction from satellite images
    • A. LORETTE, X. DESCOMBES, AND J. ZERUBIA, Texture analysis through a Markovian modelling and fuzzy classification: Application to urban area extraction from satellite images, Internat. J. Computer Vision, 36 (2000), pp. 221-236.
    • (2000) Internat. J. Computer Vision , vol.36 , pp. 221-236
    • Lorette, A.1    Descombes, X.2    Zerubia, J.3
  • 18
    • 34250109116 scopus 로고
    • The gradient theory of phase transitions and the minimal interface criterion
    • L. MODICA, The gradient theory of phase transitions and the minimal interface criterion, Arch. Ration. Mech. Anal., 98 (1987), pp. 123-142.
    • (1987) Arch. Ration. Mech. Anal. , vol.98 , pp. 123-142
    • Modica, L.1
  • 20
    • 34250095380 scopus 로고
    • The effect of a singular perturbation on nonconvex variational problems
    • P. STERNBERG, The effect of a singular perturbation on nonconvex variational problems, Arch. Ration. Mech. Anal., 101 (1988), pp. 209-260.
    • (1988) Arch. Ration. Mech. Anal. , vol.101 , pp. 209-260
    • Sternberg, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.