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Volumn 34, Issue 3, 2002, Pages 491-504

A two-dimensional random crystalline algorithm for Gauss curvature flow

Author keywords

Closed curve; Gauss curvature flow; Random crystalline algorithm

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FUNCTIONS; PROBABILITY;

EID: 0036755771     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1033662162     Document Type: Article
Times cited : (4)

References (11)
  • 1
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    • Deforming convex hypersurfaces by the nth root of the Gaussian curvature
    • Chow, B. (1985). Deforming convex hypersurfaces by the nth root of the Gaussian curvature. J. Differential Geometry 22, 117-138.
    • (1985) J. Differential Geometry , vol.22 , pp. 117-138
    • Chow, B.1
  • 3
    • 84966244873 scopus 로고
    • Shapes of worn stones
    • Firey, W.J. (1974). Shapes of worn stones. Mathematika 21, 1-11.
    • (1974) Mathematika , vol.21 , pp. 1-11
    • Firey, W.J.1
  • 4
    • 0000317873 scopus 로고
    • Convergence of a crystalline algorithm for the motion of a simple closed convex curve by weighted curvature
    • Girão, P.M. (1995). Convergence of a crystalline algorithm for the motion of a simple closed convex curve by weighted curvature. SIAM J. Numer. Anal. 32, 886-899.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 886-899
    • Girão, P.M.1
  • 5
    • 84951613405 scopus 로고
    • Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature
    • Girão, P.M. and Kohn, R.V. (1994). Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature. Numer. Math. 67, 41-70.
    • (1994) Numer. Math. , vol.67 , pp. 41-70
    • Girão, P.M.1    Kohn, R.V.2
  • 6
    • 84972507688 scopus 로고
    • Flow by mean curvature of convex surfaces into spheres
    • Huisken, G. (1984). Flow by mean curvature of convex surfaces into spheres. J. Differential Geometry 20, 237-266.
    • (1984) J. Differential Geometry , vol.20 , pp. 237-266
    • Huisken, G.1
  • 9
    • 0032271478 scopus 로고    scopus 로고
    • Regularity and convergence of crystalline motion
    • Ishii, K. and Soner, H.M. (1998). Regularity and convergence of crystalline motion. SIAM J. Math. Anal. 30, 19-37.
    • (1998) SIAM J. Math. Anal. , vol.30 , pp. 19-37
    • Ishii, K.1    Soner, H.M.2
  • 10
    • 0001339314 scopus 로고
    • Un cours sur les intégrales stochastiques
    • Séminaire de Probabilités X, ed. P.A. Meyer, Springer, Berlin
    • Meyer, P.A. (1976). Un cours sur les intégrales stochastiques. In Séminaire de Probabilités X (Lecture Notes Math. 511), ed. P.A. Meyer, Springer, Berlin, pp. 245-400.
    • (1976) Lecture Notes Math. , vol.511 , pp. 245-400
    • Meyer, P.A.1
  • 11
    • 84990622731 scopus 로고
    • Deforming a hypersurface by its Gauss-Kronecker curvature
    • Tso, K. (1985). Deforming a hypersurface by its Gauss-Kronecker curvature. Commun. Pure Appl. Math. 38, 867-882.
    • (1985) Commun. Pure Appl. Math. , vol.38 , pp. 867-882
    • Tso, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.