메뉴 건너뛰기




Volumn 4, Issue 4, 1999, Pages 3-18

Moving frames and joint differential invariants

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001777669     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/rd1999v004n04abeh000131     Document Type: Article
Times cited : (11)

References (46)
  • 5
    • 21844526633 scopus 로고
    • On differential invariants of planar curves and recognizing partially occluded planar shapes
    • A. M. Bruckstein, A. N. Netravali. On differential invariants of planar curves and recognizing partially occluded planar shapes. Ann. Math. Artificial Intel., 13, 1995, P. 227-250.
    • (1995) Ann. Math. Artificial Intel. , vol.13 , pp. 227-250
    • Bruckstein, A.M.1    Netravali, A.N.2
  • 7
    • 0031995294 scopus 로고    scopus 로고
    • Skew-symmetry detection via invariant signatures
    • A. M. Bruckstein, D. Shaked. Skew-symmetry detection via invariant signatures. Pattern Recognition, 31, 1998, P. 181-192.
    • (1998) Pattern Recognition , vol.31 , pp. 181-192
    • Bruckstein, A.M.1    Shaked, D.2
  • 10
    • 0030495603 scopus 로고    scopus 로고
    • Afiine geometry, curve flows, and invariant numerical approximations
    • E. Calabi, P. J. Olver, A. Tannenbaum. Afiine geometry, curve flows, and invariant numerical approximations. Adv. in Math., 124, 1996, P. 154-196.
    • (1996) Adv. in Math. , vol.124 , pp. 154-196
    • Calabi, E.1    Olver, P.J.2    Tannenbaum, A.3
  • 11
    • 0032001388 scopus 로고    scopus 로고
    • Differential and numerically invariant signature curves applied to object recognition
    • E. Calabi, P. J. Olver, C. Shakiban, A. Tannenbaum, S. Baker. Differential and numerically invariant signature curves applied to object recognition. Int. J. Computer Vision, 26, 1998, P. 107-135.
    • (1998) Int. J. Computer Vision , vol.26 , pp. 107-135
    • Calabi, E.1    Olver, P.J.2    Shakiban, C.3    Tannenbaum, A.4    Baker, S.5
  • 15
    • 53149149575 scopus 로고    scopus 로고
    • F. Dillen, B. Komrakov, U. Simon, I. Van de Woestyne, L. Verstraelen, eds., World Sci. Publishing, Singapore
    • P. F. Dhooghe. Multifocal invariants; Geometry and Topology of Submanifolds, VIII; F. Dillen, B. Komrakov, U. Simon, I. Van de Woestyne, L. Verstraelen, eds., World Sci. Publishing, Singapore, 1996, P. 12-37.
    • (1996) Multifocal Invariants; Geometry and Topology of Submanifolds, VIII , pp. 12-37
    • Dhooghe, P.F.1
  • 16
    • 85027410412 scopus 로고
    • Cartan's moving frame method and its application to the geometry and evolution of curves in the euclidean, afiine and projective planes
    • J. L. A. Mundy, D. Zisserman, Forsyth (eds.), Springer-Verlag Lecture Notes in Computer Science
    • O. Faugeras. Cartan's moving frame method and its application to the geometry and evolution of curves in the euclidean, afiine and projective planes. Applications of Invariance in Computer Vision, J. L. A. Mundy, D. Zisserman, Forsyth (eds.), Springer-Verlag Lecture Notes in Computer Science, V. 825, 1994, P. 11-46.
    • (1994) Applications of Invariance in Computer Vision , vol.825 , pp. 11-46
    • Faugeras, O.1
  • 17
    • 0001302031 scopus 로고    scopus 로고
    • Moving coframes. I. A practical algorithm
    • M. Fels, P. J. Olver. Moving coframes. I. A practical algorithm. Acta Appl. Math., 51, 1998, P. 161-213.
    • (1998) Acta Appl. Math. , vol.51 , pp. 161-213
    • Fels, M.1    Olver, P.J.2
  • 18
    • 0001616691 scopus 로고    scopus 로고
    • Moving coframes. II. Regularization and theoretical foundations
    • M. Fels, P. J. Olver. Moving coframes. II. Regularization and theoretical foundations. Acta Appl. Math., 55, 1999, P. 127-208.
    • (1999) Acta Appl. Math. , vol.55 , pp. 127-208
    • Fels, M.1    Olver, P.J.2
  • 20
    • 0001469020 scopus 로고
    • The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
    • M. L. Green. The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces. Duke Math. J., 45, 1978, P. 735-779.
    • (1978) Duke Math. J. , vol.45 , pp. 735-779
    • Green, M.L.1
  • 21
    • 84972552696 scopus 로고
    • On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
    • P. A. Griffiths. On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry. Duke Math. J., 41, 1974, P. 775-814.
    • (1974) Duke Math. J. , vol.41 , pp. 775-814
    • Griffiths, P.A.1
  • 26
    • 0042461650 scopus 로고
    • Erweiterung der Begriffes der Invarianten von Transformationgruppen
    • W. Killing. Erweiterung der Begriffes der Invarianten von Transformationgruppen. Math. Ann., 35, 1890, P. 423-432.
    • (1890) Math. Ann. , vol.35 , pp. 423-432
    • Killing, W.1
  • 27
    • 0001873556 scopus 로고
    • Über diejenigen ebenen Curven, welche durch ein geschlossenes System von einfach unendlich vielen vertauschbaren linearen Transformationen in sich übergeben
    • F. Klein, S. Lie. Über diejenigen ebenen Curven, welche durch ein geschlossenes System von einfach unendlich vielen vertauschbaren linearen Transformationen in sich übergeben. Math. Ann., 4, 1871, P. 50-84.
    • (1871) Math. Ann. , vol.4 , pp. 50-84
    • Klein, F.1    Lie, S.2
  • 29
    • 0039244270 scopus 로고    scopus 로고
    • Differential invariants for parametrized projective surfaces
    • G. Marí-Beffa, P. J. Olver. Differential invariants for parametrized projective surfaces. Commun. Anal. Geom., a, 1999.
    • (1999) Commun. Anal. Geom.
    • Marí-Beffa, G.1    Olver, P.J.2
  • 31
    • 0002418040 scopus 로고
    • Untersuchungen über allgemeine Metrik
    • K. Menger. Untersuchungen über allgemeine Metrik. Math. Ann., 100, 1928, P. 75-163.
    • (1928) Math. Ann. , vol.100 , pp. 75-163
    • Menger, K.1
  • 33
    • 38249018687 scopus 로고
    • Classical invariant theory and the equivalence problem for particle Lagrangians. I
    • P. J. Olver. Classical invariant theory and the equivalence problem for particle Lagrangians. I. Binary Forms. Adv. in Math., 80, 1990, P. 39-77.
    • (1990) Binary Forms. Adv. in Math. , vol.80 , pp. 39-77
    • Olver, P.J.1
  • 36
    • 0003653326 scopus 로고    scopus 로고
    • London Math. Soc. Student Texts, Cambridge University Press, Cambridge
    • P. J. Olver. Classical Invariant Theory. London Math. Soc. Student Texts, V. 44, Cambridge University Press, Cambridge, 1999.
    • (1999) Classical Invariant Theory , vol.44
    • Olver, P.J.1
  • 37
    • 0041022677 scopus 로고    scopus 로고
    • Moving frames and singularities of prolonged group actions
    • P. J. Olver. Moving frames and singularities of prolonged group actions. Selecta Math., a 1999.
    • (1999) Selecta Math.
    • Olver, P.J.1
  • 39
    • 0013066845 scopus 로고    scopus 로고
    • University of Minnesota
    • P. J. Olver. Multi-space. University of Minnesota, 1999.
    • (1999) Multi-space
    • Olver, P.J.1
  • 42
    • 0002647258 scopus 로고
    • Semi-differential invariants for nonplanar curves
    • J. L. Mundy, A. Zisserman. eds., The MIT Press, Cambridge, Mass.
    • L. Van Gool, M. H. Brill, E. B. Barrett, T. Moons, E. Pauwels. Semi-differential invariants for nonplanar curves; Geometric Invariance in Computer Vision. J. L. Mundy, A. Zisserman. eds., The MIT Press, Cambridge, Mass., 1992, P. 293-309.
    • (1992) Geometric Invariance in Computer Vision , pp. 293-309
    • Van Gool, L.1    Brill, M.H.2    Barrett, E.B.3    Moons, T.4    Pauwels, E.5
  • 45
    • 0004109271 scopus 로고
    • Princeton Univ. Press, Princeton, N. J.
    • H. Weyl. Classical Groups.; Princeton Univ. Press, Princeton, N. J., 1946.
    • (1946) Classical Groups
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.