메뉴 건너뛰기




Volumn GM, Issue R/-, 2007, Pages 137-144

Morphology-based representations of discrete scalar fields

Author keywords

Forman theory; Geometric modeling; Gradient vector field; Morse theory; Smale decomposition

Indexed keywords

FORMAN THEORY; GEOMETRIC MODELING; GRADIENT VECTOR FIELD; MORSE THEORY; SMALE DECOMPOSITION;

EID: 55349126797     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (3)

References (17)
  • 1
    • 67649698161 scopus 로고    scopus 로고
    • Agoston, M. (1976). Algebraic Topology, A First Course,.Pure and Applied Mathematics, Marcel Dekker.
    • Agoston, M. (1976). Algebraic Topology, A First Course,.Pure and Applied Mathematics, Marcel Dekker.
  • 3
    • 0031630759 scopus 로고    scopus 로고
    • Topology preserving data simplification with error bounds
    • Bajaj, C. L. and Shikore, D. R. (1998). Topology preserving data simplification with error bounds. Journal on Computers and Graphics, 22(1):3-12.
    • (1998) Journal on Computers and Graphics , vol.22 , Issue.1 , pp. 3-12
    • Bajaj, C.L.1    Shikore, D.R.2
  • 4
    • 35248862051 scopus 로고    scopus 로고
    • Topological analysis and characterization of discrete scalar fields
    • Asano, T, Klette, R, and Ronse, C, editors, Theoretical Foundations of Computer Vision, Geometry, Morphology, and Computational Imaging, of, Springer Verlag
    • Danovaro, E., De Floriani, L., and Mesmoudi, M. M. (2003). Topological analysis and characterization of discrete scalar fields. In Asano, T., Klette, R., and Ronse, C, editors, Theoretical Foundations of Computer Vision, Geometry, Morphology, and Computational Imaging, volume 2616 of Lecture Notes on Computer Science, pages 386-402. Springer Verlag.
    • (2003) Lecture Notes on Computer Science , vol.2616 , pp. 386-402
    • Danovaro, E.1    De Floriani, L.2    Mesmoudi, M.M.3
  • 8
    • 0002910255 scopus 로고    scopus 로고
    • Morse Theory for Cell Complexes
    • Forman, R. (1998). Morse Theory for Cell Complexes. Advances in Mathematics, 134:90-145.
    • (1998) Advances in Mathematics , vol.134 , pp. 90-145
    • Forman, R.1
  • 10
    • 67649752710 scopus 로고    scopus 로고
    • Optimal discrete morse functions for 2-manifolds
    • Technical report, Pontificia Universidade Catolica do Rio de Janero
    • Lewiner, T., Lopes, H., and Tavares, G. (2002a). Optimal discrete morse functions for 2-manifolds. Technical report, Pontificia Universidade Catolica do Rio de Janero.
    • (2002)
    • Lewiner, T.1    Lopes, H.2    Tavares, G.3
  • 11
    • 67649683411 scopus 로고    scopus 로고
    • Lewiner, T., Lopes, H., and Tavares, G. (2002b). Visualizing forman's discrete vector field. In H.-C. Hege, K. P. E., editor, to appear in Proceed, of Mathematical Visualization III, Springer.
    • Lewiner, T., Lopes, H., and Tavares, G. (2002b). Visualizing forman's discrete vector field. In H.-C. Hege, K. P. E., editor, to appear in Proceed, of Mathematical Visualization III, Springer.
  • 12
    • 67649718760 scopus 로고    scopus 로고
    • Milnor, J. (1963). Morse Theory.Princeton University Press.
    • Milnor, J. (1963). Morse Theory.Princeton University Press.
  • 14
    • 0001355180 scopus 로고
    • Detection of surface-specific points by local paprallel processing of discrete terrain elevation data
    • Peucker, T. K. and Douglas, E. G. (1975). Detection of surface-specific points by local paprallel processing of discrete terrain elevation data. Graphics Image Processing, 4:475-387.
    • (1975) Graphics Image Processing , vol.4 , pp. 475-387
    • Peucker, T.K.1    Douglas, E.G.2
  • 16
    • 0000912642 scopus 로고
    • Sur une partition en cellule assoctees a une fonction sur une vari6t6
    • Thom, R. (1949). Sur une partition en cellule assoctees a une fonction sur une vari6t6. C.R.A.S., 228:973-975.
    • (1949) C.R.A.S , vol.228 , pp. 973-975
    • Thom, R.1
  • 17
    • 0022267186 scopus 로고
    • Topographic classification of digital image intensity surfaces using generalised splines and the discrete cosine transformation
    • Watson, L. T., Laffey, T. J., and Haralick, R. (1985). Topographic classification of digital image intensity surfaces using generalised splines and the discrete cosine transformation. Computer Vision, Graphics and Image Processing, 29:143-167.
    • (1985) Computer Vision, Graphics and Image Processing , vol.29 , pp. 143-167
    • Watson, L.T.1    Laffey, T.J.2    Haralick, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.