메뉴 건너뛰기




Volumn 56, Issue 4, 2005, Pages 572-591

On a nonlocal model of image segmentation

Author keywords

A priori estimates; Asymptotic behaviour; Cahn Hilliard equation; Classical thermodynamics; Equilibria; Image reconstruction and separation; Initial boundary value problem; Lyapunov function; Nonlocal phase separation model; Perona Malik model

Indexed keywords


EID: 22544449923     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-005-2103-1     Document Type: Article
Times cited : (24)

References (17)
  • 1
    • 84914830669 scopus 로고
    • p Bounds of solutions of reaction-diffusion equations
    • p Bounds of solutions of reaction-diffusion equations. Comm, Part. Diff, Eq. 4 (1979), 827-868.
    • (1979) Comm, Part. Diff, Eq. , vol.4 , pp. 827-868
    • Alikakos, N.1
  • 2
    • 33746012315 scopus 로고
    • Free energy of a nonuniform system. I. Interfacial free energy
    • Cahn, J.C., Hilliard, J.E., Free energy of a nonuniform system. I. Interfacial free energy. The Journal of Chemical Physics 28 (1958), 258-267.
    • (1958) The Journal of Chemical Physics , vol.28 , pp. 258-267
    • Cahn, J.C.1    Hilliard, J.E.2
  • 3
    • 38149144413 scopus 로고
    • On a variant of monotonicity and its application to differential equations
    • Gajewskij, H., On a variant of monotonicity and its application to differential equations. Nonlinear Analysis. Theory, Methods and Applications 22 (1994), 73-80.
    • (1994) Nonlinear Analysis. Theory, Methods and Applications , vol.22 , pp. 73-80
    • Gajewskij, H.1
  • 4
    • 0742276296 scopus 로고    scopus 로고
    • On a nonlocal model of non-isothermal phase separation
    • Preprint 671 WIAS Berlin, 2001
    • Gajewski, H., On a nonlocal model of non-isothermal phase separation, Advances in Mathematical Sciences and Applications 12 (2002), 569-586, Preprint 671 WIAS Berlin, 2001.
    • (2002) Advances in Mathematical Sciences and Applications , vol.12 , pp. 569-586
    • Gajewski, H.1
  • 5
    • 0038657449 scopus 로고    scopus 로고
    • On the discretization of van Roosbroeck's equations with magnetic field
    • Gajewski, H., Gärtner, K., On the discretization of van Roosbroeck's equations with magnetic field, ZAMM 76 (1996), 247-264.
    • (1996) ZAMM , vol.76 , pp. 247-264
    • Gajewski, H.1    Gärtner, K.2
  • 7
    • 0037209589 scopus 로고    scopus 로고
    • To the uniqueness problem for nonlinear elliptic equations
    • Preprint No. 527, WIAS (1999)
    • Gajewski, H., Skrypnik, I.V., To the uniqueness problem for nonlinear elliptic equations. Preprint No. 527, WIAS (1999), Nonlinear Analysis 52 (2003), 291-304.
    • (2003) Nonlinear Analysis , vol.52 , pp. 291-304
    • Gajewski, H.1    Skrypnik, I.V.2
  • 8
    • 2142825622 scopus 로고    scopus 로고
    • On the uniqueness of solutions for nonlinear parabolic equations
    • Preprint No. 658, WIAS (2001)
    • Gajewski, H., Skrypnik, I.V., On the uniqueness of solutions for nonlinear parabolic equations. Preprint No. 658, WIAS (2001), Discrete and Continuous Dynamical Systems 10 (2004), 315-336.
    • (2004) Discrete and Continuous Dynamical Systems , vol.10 , pp. 315-336
    • Gajewski, H.1    Skrypnik, I.V.2
  • 9
    • 0142119425 scopus 로고    scopus 로고
    • On a nonlocal phase separation model
    • Preprint No. 656, WIAS (2001)
    • Gajewski, H., Zacharias, K., On a nonlocal phase separation model. Preprint No. 656, WIAS (2001), J. Math. Anal. Appl. 286 (2003), 11-31.
    • (2003) J. Math. Anal. Appl. , vol.286 , pp. 11-31
    • Gajewski, H.1    Zacharias, K.2
  • 10
    • 0031116136 scopus 로고    scopus 로고
    • Phase segregation dynamics in particle systems with long range interactions I. Macroscopic limits
    • Giacomin, G., Lebowitz, J.L., Phase segregation dynamics in particle systems with long range interactions I. Macroscopic limits. J. Statist. Phys. 87 (1997), 37-61.
    • (1997) J. Statist. Phys. , vol.87 , pp. 37-61
    • Giacomin, G.1    Lebowitz, J.L.2
  • 13
    • 0003639953 scopus 로고
    • Progress in Nonlinear Differential Equations and their Applications, Birkhäuser, Boston, Basel, Berlin
    • Morel, J-M., Solimini, S., Variational Methods in Image Segmentation. Progress in Nonlinear Differential Equations and their Applications. Vol 14, Birkhäuser, Boston, Basel, Berlin 1994.
    • (1994) Variational Methods in Image Segmentation , vol.14
    • Morel, J.-M.1    Solimini, S.2
  • 14
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • Mumford, D., Shah, J., Optimal approximations by piecewise smooth functions and associated variational problems. Comm. on Pure and Applied Mathematics XLII (1989).
    • (1989) Comm. on Pure and Applied Mathematics , vol.42
    • Mumford, D.1    Shah, J.2
  • 15
    • 0004257746 scopus 로고
    • PhD dissertation, Department of electrical engineering, University of California at Berkeley
    • Nordström, Variational edge detection, PhD dissertation, Department of electrical engineering, University of California at Berkeley 1990.
    • (1990) Variational Edge Detection
    • Nordström1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.