메뉴 건너뛰기




Volumn 125, Issue 2, 1999, Pages 243-268

Families of surfaces: Focal sets, ridges and umbilics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85016247012     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004198003004     Document Type: Article
Times cited : (28)

References (30)
  • 1
    • 84980138567 scopus 로고
    • Wave front evolution and equivariant Morse lemma
    • V. I. Arnold. Wave front evolution and equivariant Morse lemma. Comm. Pure and Appl. Math. 29, (1976), 557–582.
    • (1976) Comm. Pure and Appl. Math. , vol.29 , pp. 557-582
    • Arnold, V.I.1
  • 2
    • 0004279024 scopus 로고
    • Springer-Verlag, 1984, third edition 1992
    • V. I. Arnold. Catastrophe theory, (Springer-Verlag, 1984, 1986); third edition 1992.
    • (1986) Catastrophe theory
    • Arnold, V.I.1
  • 3
    • 0002234799 scopus 로고
    • The duals of generic hypersurfaces
    • J. W. Bruce. The duals of generic hypersurfaces. Math. Scand. 49 (1981), 36–69.
    • (1981) Math. Scand. , vol.49 , pp. 36-69
    • Bruce, J.W.1
  • 4
    • 0005694809 scopus 로고
    • Generic reflections and projections
    • J. W. Bruce. Generic reflections and projections. Math. Scand. 54 (1984), 262–278.
    • (1984) Math. Scand. , vol.54 , pp. 262-278
    • Bruce, J.W.1
  • 5
    • 84963021821 scopus 로고
    • Generic geometry, transversality and projections
    • J. W. Bruce. Generic geometry, transversality and projections. J. London Math. Soc. (2) 49 (1994), 183–194.
    • (1994) J. London Math. Soc. (2) , vol.49 , pp. 183-194
    • Bruce, J.W.1
  • 6
    • 0000199796 scopus 로고
    • Generic functions on semialgebraic sets
    • J. W. Bruce. Generic functions on semialgebraic sets. Quart. J. Math. Oxford (2), 37 (1986), 137–165.
    • (1986) Quart. J. Math. Oxford (2) , vol.37 , pp. 137-165
    • Bruce, J.W.1
  • 11
    • 0030172963 scopus 로고    scopus 로고
    • Ridges, crests and sub-parabolic lines of evolving surfaces
    • J. W. Bruce, P. J. Giblin and F. Tari. Ridges, crests and sub-parabolic lines of evolving surfaces. Int. J. Computer Vision 18 (1996), 195–210.
    • (1996) Int. J. Computer Vision , vol.18 , pp. 195-210
    • Bruce, J.W.1    Giblin, P.J.2    Tari, F.3
  • 12
    • 0001039050 scopus 로고    scopus 로고
    • Complete transversals and the classification of singularities
    • J. W. Bruce, N. P. Kirk and A. A. du Plessis. Complete transversals and the classification of singularities. Nonlinearity 10 (1997), 253–275.
    • (1997) Nonlinearity , vol.10 , pp. 253-275
    • Bruce, J.W.1    Kirk, N.P.2    du Plessis, A.A.3
  • 13
    • 38249032623 scopus 로고
    • Critical points of functions on analytic varieties
    • J. W. Bruce and R. M. Roberts. Critical points of functions on analytic varieties. Topology 27 (1988), 57–90.
    • (1988) Topology , vol.27 , pp. 57-90
    • Bruce, J.W.1    Roberts, R.M.2
  • 14
    • 0001750947 scopus 로고
    • Duality and projections of curves and surfaces in 3-space
    • J. W. Bruce and M. C. Romero-Fuster. Duality and projections of curves and surfaces in 3-space. Quart. J. Math. Oxford Ser. (2) 42 (1991), 433–441.
    • (1991) Quart. J. Math. Oxford Ser. (2) , vol.42 , pp. 433-441
    • Bruce, J.W.1    Romero-Fuster, M.C.2
  • 15
    • 0002196439 scopus 로고    scopus 로고
    • Extrema of principal curvature and symmetry
    • J. W. Bruce and F. Tari. Extrema of principal curvature and symmetry. Proc. Royal Soc. Edinburgh 39 (1996), 397–402.
    • (1996) Proc. Royal Soc. Edinburgh , vol.39 , pp. 397-402
    • Bruce, J.W.1    Tari, F.2
  • 16
    • 0002477105 scopus 로고
    • in Proceedings of Warwick Symposium on Singularities Springer Lecture Notes in Math., 1462, (Springer-Verlag
    • J. W. Bruce and T. C. Wilkinson. Folding maps and focal sets; in Proceedings of Warwick Symposium on Singularities Springer Lecture Notes in Math., 1462, (Springer-Verlag, 1991), pp. 63–72.
    • (1991) Folding maps and focal sets , pp. 63-72
    • Bruce, J.W.1    Wilkinson, T.C.2
  • 19
    • 0029272280 scopus 로고
    • Surface representation with deformable splines: using decoupled variables
    • A. Gueziec. Surface representation with deformable splines: using decoupled variables. IEEE Comp. Sci. and Eng. Mag. 2 (1995), 69–80.
    • (1995) IEEE Comp. Sci. and Eng. Mag. , vol.2 , pp. 69-80
    • Gueziec, A.1
  • 21
    • 84959845453 scopus 로고
    • On the classification of germs of maps from IR2 to IR3
    • D. M. Q. Mond. On the classification of germs of maps from IR2 to IR3. Proc. London Math. Soc. 50 (1985), 333–369.
    • (1985) Proc. London Math. Soc. , vol.50 , pp. 333-369
    • Mond, D.M.Q.1
  • 22
    • 0001222144 scopus 로고
    • On contact between submanifolds
    • J. A. Montaldi. On contact between submanifolds. Michigan Math. J. 33 (1986), 195–199.
    • (1986) Michigan Math. J. , vol.33 , pp. 195-199
    • Montaldi, J.A.1
  • 25
    • 0030142603 scopus 로고    scopus 로고
    • New feature points based on geometric invariants for 3D image registration
    • J.-P. Thirion. New feature points based on geometric invariants for 3D image registration. Int. J. Computer Vision 18(2) (1996), 121–137.
    • (1996) Int. J. Computer Vision , vol.18 , Issue.2 , pp. 121-137
    • Thirion, J.-P.1
  • 26
    • 0029271975 scopus 로고
    • Computing the differential characteristics of isointensity surfaces
    • J.-P. Thirion and A. Gourdon. Computing the differential characteristics of isointensity surfaces. Computer Vision and Image Understanding 61 (1995), 190–202.
    • (1995) Computer Vision and Image Understanding , vol.61 , pp. 190-202
    • Thirion, J.-P.1    Gourdon, A.2
  • 27
    • 0000705099 scopus 로고
    • Theory of logarithmic differential forms and logarithmic vector fields
    • K. Saito. Theory of logarithmic differential forms and logarithmic vector fields. J. Fac. Sci. Univ. Tokyo Sec. 1A, 27, (1980), 265–291.
    • (1980) J. Fac. Sci. Univ. Tokyo Sec. , vol.1A , Issue.27 , pp. 265-291
    • Saito, K.1
  • 28
    • 0345569746 scopus 로고
    • Geometric properties of generic differentiable manifolds
    • Rio de Janeiro 1976, Lecture Notes in Mathematics 597, (Springer-Verlag
    • C. T. C. Wall. Geometric properties of generic differentiable manifolds, in Geometry and Topology, Rio de Janeiro 1976, Lecture Notes in Mathematics 597, (Springer-Verlag, 1977) 707–774.
    • (1977) Geometry and Topology , pp. 707-774
    • Wall, C.T.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.