메뉴 건너뛰기




Volumn 3454, Issue , 1998, Pages 52-63

On the topology of grid continua

Author keywords

Digital geometry; Minimal polyhedral Jordan surface in R3; One dimensional grid continua in R2 and R3; Two dimensional grid continua in R3

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; FRACTALS; IMAGE PROCESSING; ONE DIMENSIONAL; SET THEORY; TOPOLOGY; TWO DIMENSIONAL;

EID: 0038636359     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.323274     Document Type: Conference Paper
Times cited : (14)

References (30)
  • 1
    • 0019392742 scopus 로고
    • The theory, design, implementation and evaluation of a three-dimensional surface detection algorithm
    • E. Artzy, G. Frieder, and G.T. Herman: The theory, design, implementation and evaluation of a three-dimensional surface detection algorithm. CGIP 15 (1981) 1-24.
    • (1981) CGIP , vol.15 , pp. 1-24
    • Artzy, E.1    Frieder, G.2    Herman, G.T.3
  • 3
    • 0022267443 scopus 로고
    • The m-dimensional grid point space
    • R. Klette: The m-dimensional grid point space. CVGIP 30 (1985) 1-12.
    • (1985) CVGIP , vol.30 , pp. 1-12
    • Klette, R.1
  • 4
    • 0037598838 scopus 로고    scopus 로고
    • Approximation and representation of 3D objects
    • (R. Klette, A. Rosenfeld, F. Sloboda, eds.), Springer, Singapore
    • R. Klette: Approximation and representation of 3D objects. Advances in Digital and Computational Geometry (R. Klette, A. Rosenfeld, F. Sloboda, eds.), Springer, Singapore (1998) 161-194.
    • (1998) Advances in Digital and Computational Geometry , pp. 161-194
    • Klette, R.1
  • 6
    • 0024856991 scopus 로고
    • Digital topology - Introduction and survey
    • T.Y. Kong and A. Rosenfeld: Digital topology - introduction and survey. CVGIP 48 (1989) 357-393.
    • (1989) CVGIP , vol.48 , pp. 357-393
    • Kong, T.Y.1    Rosenfeld, A.2
  • 7
    • 0021620645 scopus 로고
    • Discrete topology and contour definition
    • V.A. Kovalevsky: Discrete topology and contour definition. Pattern Reconit. Lett. 2 (1984) 281-288.
    • (1984) Pattern Reconit. Lett. , vol.2 , pp. 281-288
    • Kovalevsky, V.A.1
  • 8
    • 0023381475 scopus 로고
    • Marching cubes - A high resolution 3D surface construction algorithm
    • W. E. Lorensen and H. E. Cline: Marching cubes - a high resolution 3D surface construction algorithm. Computer Graphics 21 (1987) 163-169.
    • (1987) Computer Graphics , vol.21 , pp. 163-169
    • Lorensen, W.E.1    Cline, H.E.2
  • 10
  • 11
    • 0002095968 scopus 로고
    • B.G. Teubner Press, Leipzig
    • K. Menger: Kurventheorie. B.G. Teubner Press, Leipzig (1932).
    • (1932) Kurventheorie
    • Menger, K.1
  • 13
    • 0037598833 scopus 로고
    • VEB Deutscher Verlag der Wissenschaften, Berlin; (original Moscow (1954))
    • A.S. Parchomenko: Was ist eine Kurve? VEB Deutscher Verlag der Wissenschaften, Berlin (1957) (original Moscow (1954)).
    • (1957) Was Ist Eine Kurve?
    • Parchomenko, A.S.1
  • 14
    • 0012308844 scopus 로고
    • Recognition of surfaces in three-dimensional digital images
    • G. M. Reed and A. Rosenfeld: Recognition of surfaces in three-dimensional digital images. Information and Control 53 (1982) 108-120.
    • (1982) Information and Control , vol.53 , pp. 108-120
    • Reed, G.M.1    Rosenfeld, A.2
  • 15
    • 84976773855 scopus 로고
    • Arcs and curves in digital pictures
    • A. Rosenfeld: Arcs and curves in digital pictures. J. Assoc. Comput. Mach. 20 (1973) 81-87.
    • (1973) J. Assoc. Comput. Mach. , vol.20 , pp. 81-87
    • Rosenfeld, A.1
  • 18
    • 0001893230 scopus 로고    scopus 로고
    • Digital geometry - Introduction and bibliography
    • eds. R. Klette, A. Rosenfeld and F. Sloboda, Springer, Singapore
    • A. Rosenfeld: Digital geometry - introduction and bibliography. in: Advances in Digital and Computational Geometry, eds. R. Klette, A. Rosenfeld and F. Sloboda, Springer, Singapore (1998) 1-85.
    • (1998) Advances in Digital and Computational Geometry , pp. 1-85
    • Rosenfeld, A.1
  • 19
    • 0038613051 scopus 로고
    • Ein Satz über Gitter und Volumen
    • W. Scherer: Ein Satz über Gitter und Volumen. Mathematische Annalen 86 (1922) 99-107.
    • (1922) Mathematische Annalen , vol.86 , pp. 99-107
    • Scherer, W.1
  • 20
    • 0037598834 scopus 로고    scopus 로고
    • 2
    • Report of the Institute of Control Theory and Robotics, Bratislava
    • 2. Report of the Institute of Control Theory and Robotics, Bratislava (1996).
    • (1996)
    • Sloboda, F.1    Zaťko, B.2
  • 21
    • 0037598834 scopus 로고    scopus 로고
    • 3
    • Report of the Institute of Control Theory and Robotics, Bratislava
    • 3. Report of the Institute of Control Theory and Robotics, Bratislava (1996).
    • (1996)
    • Sloboda, F.1    Bačík, Ľ.2
  • 22
    • 0037936816 scopus 로고    scopus 로고
    • On approximation of Jordan surfaces: A topological approach
    • Int. Memo, CITR Tamaki, The University of Auckland
    • F. Sloboda: On approximation of Jordan surfaces: a topological approach. Int. Memo, CITR Tamaki, The University of Auckland, (1997).
    • (1997)
    • Sloboda, F.1
  • 23
    • 0038274118 scopus 로고    scopus 로고
    • On minimal polyhedral Jordan surface and its applications
    • Report of the Institute of Control Theory and Robotics, Bratislava
    • F.Sloboda: On minimal polyhedral Jordan surface and its applications. Report of the Institute of Control Theory and Robotics, Bratislava (1997).
    • (1997)
    • Sloboda, F.1
  • 24
    • 0002092264 scopus 로고    scopus 로고
    • On approximation of planar one-dimensional continua
    • eds. R. Klette, A. Rosenfeld and F. Sloboda, Springer, Singapore
    • F. Sloboda, B. Zaťko and J. Stoer; On approximation of planar one-dimensional continua. in Advances in Digital and Computational Geometry, eds. R. Klette, A. Rosenfeld and F. Sloboda, Springer, Singapore (1998) 113-160.
    • (1998) Advances in Digital and Computational Geometry , pp. 113-160
    • Sloboda, F.1    Zaťko, B.2    Stoer, J.3
  • 25
    • 0038613047 scopus 로고
    • Über die Verallgemeinerung des Jordanschen Kurvensatzes
    • S. Straszewicz: Über die Verallgemeinerung des Jordanschen Kurvensatzes. Fundamenta Math. 4 (1923) 128-135.
    • (1923) Fundamenta Math , vol.4 , pp. 128-135
    • Straszewicz, S.1
  • 27
    • 0010172179 scopus 로고
    • Mémoire sur les multiplicités Cantoriennes
    • P. Urysohn: Mémoire sur les multiplicités Cantoriennes. Fundamenta Math. 6 (1925) 30-130.
    • (1925) Fundamenta Math. , vol.6 , pp. 30-130
    • Urysohn, P.1
  • 28
    • 0002010679 scopus 로고
    • Topological considerations in isosurface generation
    • Baskin Center for Computer Engineering and Information Sciences, University of California, Santa Cruz; UCSC-CRL-94-31
    • J. Wilhelms and A. V. Gelder: Topological considerations in isosurface generation. Baskin Center for Computer Engineering and Information Sciences, University of California, Santa Cruz (1994) UCSC-CRL-94-31.
    • (1994)
    • Wilhelms, J.1    Gelder, A.V.2
  • 30
    • 28144434062 scopus 로고
    • A locally rectangular grid finite element method-application to computational fluid dynamics and computational physics
    • D. P. Young, R. G. Melvin, M. B. Bieterman: A locally rectangular grid finite element method-application to computational fluid dynamics and computational physics. J. Comp. Physics 92 (1991) 1-42.
    • (1991) J. Comp. Physics , vol.92 , pp. 1-42
    • Young, D.P.1    Melvin, R.G.2    Bieterman, M.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.