메뉴 건너뛰기




Volumn 274, Issue , 2001, Pages

Cracktip is a global Mumford-Shah minimizer

(2)  Bonnet, Alexis a   David, Guy a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038126070     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (29)

References (31)
  • 1
    • 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
  • 4
    • 0012915670 scopus 로고    scopus 로고
    • Higher regularity of solutions of free discontinuity problems
    • L. Ambrosio, N. Fusco and D. Pallara, Higher regularity of solutions of free discontinuity problems. Differential Integral Equations 12 (1999), no. 4, 499-520.
    • (1999) Differential Integral Equations , vol.12 , Issue.4 , pp. 499-520
    • Ambrosio, L.1    Fusco, N.2    Pallara, D.3
  • 5
    • 0030364112 scopus 로고    scopus 로고
    • On the regularity of edges in image segmentation
    • A. Bonnet, On the regularity of edges in image segmentation, Ann. Inst. H. Poincaré, Analyse non linéaire, vol. 13, 4 (1996), 485-528.
    • (1996) Ann. Inst. H. Poincaré, Analyse Non Linéaire , vol.13 , Issue.4 , pp. 485-528
    • Bonnet, A.1
  • 6
    • 0002874591 scopus 로고
    • A variational method in image segmentation: Existence and approximation results
    • G. Dal Maso, J.-M. Morel, and S. Solimini, A variational method in image segmentation: Existence and approximation results, Acta Math. 168 (1992), 89-151.
    • (1992) Acta Math. , vol.168 , pp. 89-151
    • Dal Maso, G.1    Morel, J.-M.2    Solimini, S.3
  • 7
    • 0030170214 scopus 로고    scopus 로고
    • C-1 arcs for minimizers of the Mumford-Shah functional
    • G. David, C-1 arcs for minimizers of the Mumford-Shah functional, SIAM. Journal of Appl. Math., vol. 56, no. 3 (1996), 783-888.
    • (1996) SIAM. Journal of Appl. Math. , vol.56 , Issue.3 , pp. 783-888
    • David, G.1
  • 10
    • 0009385218 scopus 로고    scopus 로고
    • On the singular sets of minimizers of the Mumford-Shah functional
    • G. David and S. Semmes, On the singular sets of minimizers of the Mumford-Shah functional, Journal de Math. Pures et Appl. 75 (1996), 299-342.
    • (1996) Journal de Math. Pures et Appl. , vol.75 , pp. 299-342
    • David, G.1    Semmes, S.2
  • 11
    • 33748650231 scopus 로고
    • On a variational problem from image processing, proceedings of the conference in honor of J.-P. Kahane
    • G. David and S. Semmes, On a variational problem from image processing, proceedings of the conference in honor of J.-P. Kahane, special issue of the Journal of Fourier Analysis and Applications, 1995, 161-187.
    • (1995) Journal of Fourier Analysis and Applications , Issue.SPEC. ISSUE , pp. 161-187
    • David, G.1    Semmes, S.2
  • 12
    • 33748642118 scopus 로고
    • Problemi con discontinuità libera
    • Napoli, Sept. 20-22
    • E. De Giorgi, Problemi con discontinuità libera, Int. Symp. Renato Caccioppoli, Napoli, Sept. 20-22, 1989.
    • (1989) Int. Symp. Renato Caccioppoli
    • De Giorgi, E.1
  • 13
    • 0348197077 scopus 로고
    • Ricerche Mat. 40 (1991), suppl. 203-214.
    • (1991) Ricerche Mat. , vol.40 , Issue.SUPPL. , pp. 203-214
  • 14
    • 0000532812 scopus 로고
    • Existence theorem for a minimum problem with free discontinuity set
    • E. De Giorgi, M. Carriero, and A. Leaci, Existence theorem for a minimum problem with 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, M.2    Leaci, A.3
  • 15
    • 0347989657 scopus 로고
    • Uniform rectifiability of image segmentations obtained by a variational method
    • F. Dibos, Uniform rectifiability of image segmentations obtained by a variational method, Journal de Math. Pures et Appl. 73, 1994, 389-412.
    • (1994) Journal de Math. Pures et Appl. , vol.73 , pp. 389-412
    • Dibos, F.1
  • 16
    • 0010810046 scopus 로고
    • Propriété de régularité des contours d'une image segmentée
    • F. Dibos and G. Koepfler, Propriété de régularité des contours d'une image segmentée, Comptes Rendus Acad. Sc. Paris 313 (1991), 573-578.
    • (1991) Comptes Rendus Acad. Sc. Paris , vol.313 , pp. 573-578
    • Dibos, F.1    Koepfler, G.2
  • 17
    • 0345908351 scopus 로고    scopus 로고
    • An approximation result for Minimizers of the Mumford-Shah functional
    • F. Dibos and E. Séré, An approximation result for Minimizers of the Mumford-Shah functional, Boll. Un. Mat. Ital. A(7), 11 (1997), 149-162.
    • (1997) Boll. Un. Mat. Ital. A , vol.11 , Issue.7 , pp. 149-162
    • Dibos, F.1    Séré, E.2
  • 22
    • 0002872733 scopus 로고
    • Bounded analytic functions
    • Academic Press
    • J. Garnett, Bounded analytic functions, Pure and Applied Mathematics 96, Academic Press 1981.
    • (1981) Pure and Applied Mathematics , vol.96
    • Garnett, J.1
  • 23
    • 33748668965 scopus 로고
    • Une remarque sur la régularité d'une image segmentée
    • J.-C. Léger, Une remarque sur la régularité d'une image segmentée, Journal de Math, pures et appliquées 73, 1994, 567-577.
    • (1994) Journal de Math, Pures et Appliquées , vol.73 , pp. 567-577
    • Léger, J.-C.1
  • 24
    • 0033116483 scopus 로고    scopus 로고
    • Flatness and finiteness in the Mumford-Shah problem
    • J.-C. Léger, Flatness and finiteness in the Mumford-Shah problem, J. Math. Pures Appl. (9) 78 (1999), no. 4, 431-459.
    • (1999) J. Math. Pures Appl. (9) , vol.78 , Issue.4 , pp. 431-459
    • Léger, J.-C.1
  • 27
    • 0003265437 scopus 로고
    • Geometry of sets and measures in Euclidean space
    • Cambridge University Press
    • P. Mattila, Geometry of sets and measures in Euclidean space, Cambridge Studies in Advanced Mathematics 44, Cambridge University Press 1995.
    • (1995) Cambridge Studies in Advanced Mathematics , vol.44
    • Mattila, P.1
  • 29
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math. 42 (1989), 577-685.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 577-685
    • Mumford, D.1    Shah, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.