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Volumn 147, Issue 2-3, 2005, Pages 265-285

Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis

Author keywords

Crystalline flow; Evolving polygon; Multi scale analysis; Selfsimilar solutions

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FUNCTION EVALUATION; ITERATIVE METHODS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 14744299462     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2004.09.015     Document Type: Conference Paper
Times cited : (9)

References (27)
  • 1
    • 33747812053 scopus 로고
    • Axioms and fundamental equations of image processing
    • L. Alvarez, and F. Guichard Axioms and fundamental equations of image processing Arch. Rational Mech. Anal. 123 1993 199 257
    • (1993) Arch. Rational Mech. Anal. , vol.123 , pp. 199-257
    • Alvarez, L.1    Guichard, F.2
  • 2
    • 33847303953 scopus 로고
    • Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface
    • S.B. Angenent, and M.E. Gurtin Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface Arch. Rational Mech. Anal. 108 1989 323 391
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 323-391
    • Angenent, S.B.1    Gurtin, M.E.2
  • 4
    • 14744282429 scopus 로고    scopus 로고
    • Geometric Curve Evolution and Image Processing
    • Springer Berlin
    • F. Cao Geometric Curve Evolution and Image Processing Lecture Notes in Mathematics vol. 1805 2003 Springer Berlin
    • (2003) Lecture Notes in Mathematics , vol.1805
    • Cao, F.1
  • 5
    • 84972499852 scopus 로고
    • Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
    • Y.-G. Chen, Y. Giga, and S. Goto Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations J. Differential Geom. 33 1991 749 786
    • (1991) J. Differential Geom. , vol.33 , pp. 749-786
    • Chen, Y.-G.1    Giga, Y.2    Goto, S.3
  • 6
    • 84972518016 scopus 로고
    • Motion of level-sets by mean curvature, I
    • L.C. Evans, and J. Spruck Motion of level-sets by mean curvature, I J. Differential Geom. 33 1991 635 681
    • (1991) J. Differential Geom. , vol.33 , pp. 635-681
    • Evans, L.C.1    Spruck, J.2
  • 7
    • 0009025636 scopus 로고
    • A level set method for surface evolution equations
    • Y. Giga A level set method for surface evolution equations Sugaku 47 1993 321 340 Eng. translation, Sugaku Exposition 10 (1995) 217-241
    • (1993) Sugaku , vol.47 , pp. 321-340
    • Giga, Y.1
  • 8
    • 0012940602 scopus 로고
    • Consistency in evolutions by crystalline curvature
    • M. Niezgodka, P. Strzelecki (Eds.), Free Boundary Problems '95, Theory and Applications Poland
    • M.-H. Giga, Y. Giga, Consistency in evolutions by crystalline curvature, in: M. Niezgodka, P. Strzelecki (Eds.), Free Boundary Problems '95, Theory and Applications, Proceedings of the Zakopane Congress, Poland, 1995, pp. 186-202.
    • (1995) Proceedings of the Zakopane Congress , pp. 186-202
    • Giga, M.-H.1    Giga, Y.2
  • 9
    • 0012941554 scopus 로고    scopus 로고
    • Crystalline and level-set flow - Convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane
    • N. Kenmochi (Ed.), Free Boundary Problems: Theory And Applications I
    • M.-H. Giga, Y. Giga, Crystalline and level-set flow - convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane, in: N. Kenmochi (Ed.), Free Boundary Problems: Theory And Applications I, Gakuto International Series in Mathematical Sciences and Applications, vol. 13, 2000, pp. 64-79.
    • (2000) Gakuto International Series in Mathematical Sciences and Applications , vol.13 , pp. 64-79
    • Giga, M.-H.1    Giga, Y.2
  • 10
    • 0035602118 scopus 로고    scopus 로고
    • Generalized motion by nonlocal curvature in the plane
    • M.-H. Giga, and Y. Giga Generalized motion by nonlocal curvature in the plane Arch. Rational Mech. Anal. 159 2001 295 333
    • (2001) Arch. Rational Mech. Anal. , vol.159 , pp. 295-333
    • Giga, M.-H.1    Giga, Y.2
  • 13
    • 0002534068 scopus 로고
    • Motion of hypersurfaces and geometric equations
    • Y. Giga, and S. Goto Motion of hypersurfaces and geometric equations J. Math. Soc. Japan 44 1992 99 111
    • (1992) J. Math. Soc. Japan , vol.44 , pp. 99-111
    • Giga, Y.1    Goto, S.2
  • 16
    • 0142118467 scopus 로고    scopus 로고
    • Introducing a crystalline flow for a contour figure analysis
    • H. Hontani, and K. Deguchi Introducing a crystalline flow for a contour figure analysis IEICE Trans. (D) Information and System E86-D 7 2003 1198 1205
    • (2003) IEICE Trans. (D) Information and System , vol.E86-D , Issue.7 , pp. 1198-1205
    • Hontani, H.1    Deguchi, K.2
  • 18
    • 0029344326 scopus 로고
    • Shapes, shocks, and deformations I: The components of two-dimensional shape and the reaction-diffusion space
    • B.B. Kimia, A.R. Tannenbaum, and S.W. Zucker Shapes, shocks, and deformations I the components of two-dimensional shape and the reaction-diffusion space Internat. J. Comput. Vision 15 1995 189 224
    • (1995) Internat. J. Comput. Vision , vol.15 , pp. 189-224
    • Kimia, B.B.1    Tannenbaum, A.R.2    Zucker, S.W.3
  • 19
    • 0021136434 scopus 로고
    • The structure of images
    • J.J. Koenderink The structure of images Biol. Cybern. 50 1984 363 370
    • (1984) Biol. Cybern. , vol.50 , pp. 363-370
    • Koenderink, J.J.1
  • 21
    • 0003834557 scopus 로고
    • Freeman
    • D. Marr, Vision, Freeman (1982) 20-22.
    • (1982) Vision , pp. 20-22
    • Marr, D.1
  • 23
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • S. Osher, and J.A. Sethian Fronts propagating with curvature-dependent speed algorithms based on Hamilton-Jacobi formulations J. Comput. Phys. 79 1988 12 49
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 26
    • 0000880047 scopus 로고
    • Constructions and conjectures in crystalline nondifferential geometry
    • Pitman London
    • J. Taylor Constructions and conjectures in crystalline nondifferential geometry Proceedings of the Conference on Differential Geometry vol. 52 1991 Pitman London 321 336
    • (1991) Proceedings of the Conference on Differential Geometry , vol.52 , pp. 321-336
    • Taylor, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.