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Volumn 78, Issue 4, 1999, Pages 431-459

Flatness and finiteness in the Mumford-Shah problem

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EID: 0033116483     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(99)00019-7     Document Type: Article
Times cited : (11)

References (16)
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    • (1997) Ann. Scuola Norm. Sup. , vol.24 , pp. 39-62
    • Ambrosio, L.1    Fusco, N.2    Pallara, D.3
  • 4
    • 0030364112 scopus 로고    scopus 로고
    • On the regularity of edges in image segmentation
    • [4] A. Bonnet, On the regularity of edges in image segmentation, Ann. Inst. H. Poincaré 13 (4) (1996) 485-528.
    • (1996) Ann. Inst. H. Poincaré , vol.13 , Issue.4 , pp. 485-528
    • Bonnet, A.1
  • 6
    • 0030170214 scopus 로고    scopus 로고
    • 1 arcs for the Mumford-Shah functional
    • 1 arcs for the Mumford-Shah functional, Siam J. Appl. Math. 56 (3) (1996) 783-888.
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    • David, G.1
  • 8
    • 0009385218 scopus 로고    scopus 로고
    • On the singular sets of minimizers of the Mumford-Shah functional
    • [8] G. David and S. Semmes, On the singular sets of minimizers of the Mumford-Shah functional, J. Math. Pures Appl. 75 (1996) 299-342.
    • (1996) J. Math. Pures Appl. , vol.75 , pp. 299-342
    • David, G.1    Semmes, S.2
  • 11
    • 0000465804 scopus 로고
    • Existence theorem for a minimum problem with free discontinuity set
    • [11] E. DE Giorgi, M. Carriero and A. Leaci, Existence theorem for a minimum problem with free discontinuity set, Arch. Rational Mech. Anal. 111 (1990) 291-322.
    • (1990) Arch. Rational Mech. Anal. , vol.111 , pp. 291-322
    • De Giorgi, E.1    Carriero, M.2    Leaci, A.3
  • 12
    • 0001501047 scopus 로고
    • Rectifiable sets and the travelling salesman problem
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    • 0002874591 scopus 로고
    • A variational method in image segmentation, existence and approximation results
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    • (1992) Acta Math. , vol.168 , pp. 89-151
    • Maso, G.D.1    Morel, J.M.2    Solimini, S.3
  • 15
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • [15] D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math. 42 (1989) 577-685.
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    • Mumford, D.1    Shah, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.