메뉴 건너뛰기




Volumn 32, Issue 5, 2007, Pages 719-743

Entire solutions of the one-dimensional Perona-Malik equation

Author keywords

Anisotropic diffusion; Entire solution; Forward backward parabolic equation; Perona Malik equation

Indexed keywords


EID: 34249090540     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605300600634981     Document Type: Article
Times cited : (26)

References (13)
  • 2
    • 33846164127 scopus 로고    scopus 로고
    • A concept of solution and numerical experiments for forward-backward diffusion equations
    • Bellettini, G., Fusco, G., Guglielmi, N. (2006). A concept of solution and numerical experiments for forward-backward diffusion equations. Discrete Contin. Dyn. Syst. 16(4): 783-842.
    • (2006) Discrete Contin. Dyn. Syst , vol.16 , Issue.4 , pp. 783-842
    • Bellettini, G.1    Fusco, G.2    Guglielmi, N.3
  • 3
    • 33748847571 scopus 로고    scopus 로고
    • Global solutions to the gradient flow equation of a nonconvex functional
    • Bellettini, G., Novaga, M., Paolini, E. (2006). Global solutions to the gradient flow equation of a nonconvex functional. SIAM J. Math. Anal. 37(5):1657-1687.
    • (2006) SIAM J. Math. Anal , vol.37 , Issue.5 , pp. 1657-1687
    • Bellettini, G.1    Novaga, M.2    Paolini, E.3
  • 4
    • 0003282411 scopus 로고
    • Opérateures Maximaux Monotones et Semigroups de Contraction Dans les Espaces de Hilbert. [Maximal Monotone Operators and Contraction Semigroups in Hubert Spaces
    • Brezis, H. (1973). Opérateures Maximaux Monotones et Semigroups de Contraction Dans les Espaces de Hilbert. [Maximal Monotone Operators and Contraction Semigroups in Hubert Spaces.] North-Holland Mathematics Studies, No. 5.
    • (1973) North-Holland Mathematics Studies , Issue.5
    • Brezis, H.1
  • 5
    • 34249049578 scopus 로고    scopus 로고
    • De Giorgi, E. (1997). Su alcuni problemi instabili legati alia teoria della visione. In: Bruno, T., Buonocore, P., Carbone, L., Esposito, V., eds. Atti del convegno in onore di Carlo Ciliberto (Napoli, 1995). Napoli: La Città del Sole, pp. 91-98.
    • De Giorgi, E. (1997). Su alcuni problemi instabili legati alia teoria della visione. In: Bruno, T., Buonocore, P., Carbone, L., Esposito, V., eds. Atti del convegno in onore di Carlo Ciliberto (Napoli, 1995). Napoli: La Città del Sole, pp. 91-98.
  • 6
    • 0035619136 scopus 로고    scopus 로고
    • An analysis of the Perona-Malik scheme
    • Esedoglu, S. (2001). An analysis of the Perona-Malik scheme. Comm. Pure Appl. Math. 54:1442-1487.
    • (2001) Comm. Pure Appl. Math , vol.54 , pp. 1442-1487
    • Esedoglu, S.1
  • 7
    • 34249101325 scopus 로고    scopus 로고
    • Stability properties of Perona-Malik scheme
    • Esedoglu, S. (2006). Stability properties of Perona-Malik scheme. SIAM J. Numer. Anal. 44(3):1297-1313.
    • (2006) SIAM J. Numer. Anal , vol.44 , Issue.3 , pp. 1297-1313
    • Esedoglu, S.1
  • 8
    • 33846643934 scopus 로고    scopus 로고
    • Gradient estimates for the Perona-Malik equation
    • Ghisi, M., Gobbino, M. (2007). Gradient estimates for the Perona-Malik equation. Math. Ann. 337(3):557-590.
    • (2007) Math. Ann , vol.337 , Issue.3 , pp. 557-590
    • Ghisi, M.1    Gobbino, M.2
  • 9
    • 84967713009 scopus 로고
    • Existence of infinitely many solutions for a forward-backward heat equation
    • Höllig, K. (1983). Existence of infinitely many solutions for a forward-backward heat equation. Trans. Amer. Math. Soc. 278:299-316.
    • (1983) Trans. Amer. Math. Soc , vol.278 , pp. 299-316
    • Höllig, K.1
  • 10
    • 4744374009 scopus 로고    scopus 로고
    • From Mumford-Shah to Perona-Malik in image processing
    • Kawohl, B. (2004). From Mumford-Shah to Perona-Malik in image processing. Math. Methods Appl. Sci. 27:1803-1814.
    • (2004) Math. Methods Appl. Sci , vol.27 , pp. 1803-1814
    • Kawohl, B.1
  • 11
    • 0032382150 scopus 로고    scopus 로고
    • Maximum and comparison principle for one-dimensional anisotropic diffusion
    • Kawohl, B., Kutev, N. (1998). Maximum and comparison principle for one-dimensional anisotropic diffusion. Math. Ann. 311:107-123.
    • (1998) Math. Ann , vol.311 , pp. 107-123
    • Kawohl, B.1    Kutev, N.2
  • 12
    • 0031256990 scopus 로고    scopus 로고
    • The Perona-Malik paradox
    • Kichenassamy, S. (1997). The Perona-Malik paradox. SIAM J. Appl. Math. 57:1328-1342.
    • (1997) SIAM J. Appl. Math , vol.57 , pp. 1328-1342
    • Kichenassamy, S.1
  • 13
    • 0025465145 scopus 로고
    • Scale space and edge detection using anisotropic diffusion
    • Perona, P., Malik, J. (1990). Scale space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12:629-639.
    • (1990) IEEE Trans. Pattern Anal. Mach. Intell , vol.12 , pp. 629-639
    • Perona, P.1    Malik, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.