메뉴 건너뛰기




Volumn 7, Issue 4, 1997, Pages 365-378

Triangulating topological spaces

Author keywords

Combinatorial topology, geometric modeling, grid generation; Homotopy equivalence, homeomorphisms; Topological spaces, manifolds, coverings, nerves, regular complexes, simplicial complexes, triangulations; Voronoi cells, delaunay complexes

Indexed keywords


EID: 0031519308     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218195997000223     Document Type: Article
Times cited : (117)

References (24)
  • 2
    • 21144463023 scopus 로고
    • Representing geometric structures in d dimensions: Topology and order
    • E. Brisson, "Representing geometric structures in d dimensions: topology and order," Discrete Comput. Geom. 9 (1993), 387-426.
    • (1993) Discrete Comput. Geom. , vol.9 , pp. 387-426
    • Brisson, E.1
  • 3
    • 0027803996 scopus 로고
    • Guaranteed-quality mesh generation for curved surfaces
    • L. P. Chew, "Guaranteed-quality mesh generation for curved surfaces," In "Proc. 9th Ann. Sympos. Comput. Geom., 1993, 274-280.
    • (1993) Proc. 9th Ann. Sympos. Comput. Geom. , pp. 274-280
    • Chew, L.P.1
  • 7
    • 51249162203 scopus 로고
    • László Fejes Tóth Festschrift
    • eds. I. Bárány and J. Pach
    • H. Edelsbrunner, "The union of balls and its dual shape," László Fejes Tóth Festschrift, eds. I. Bárány and J. Pach, Discrete Comput. Geom. 13 (1995), 415-440.
    • (1995) Discrete Comput. Geom. , vol.13 , pp. 415-440
    • Edelsbrunner, H.1
  • 8
    • 0025214884 scopus 로고
    • Simulation of Simplicity: A technique to cope with degenerate cases in geometric algorithms
    • H. Edelsbrunner and E. P. Mücke, "Simulation of Simplicity: a technique to cope with degenerate cases in geometric algorithms," ACM Trans. Comput. Graphics 9 (1990), 66-104.
    • (1990) ACM Trans. Comput. Graphics , vol.9 , pp. 66-104
    • Edelsbrunner, H.1    Mücke, E.P.2
  • 12
    • 0001906622 scopus 로고
    • Sur la forme des espaces topologiques et sur les points fixes des représentations
    • J. Leray, "Sur la forme des espaces topologiques et sur les points fixes des représentations," J. Math. Pure Appl. 24 (1945), 95-167.
    • (1945) J. Math. Pure Appl. , vol.24 , pp. 95-167
    • Leray, J.1
  • 14
    • 0028204732 scopus 로고
    • Topology representing networks
    • T. Martinetz and K. Schulten, "Topology representing networks," Neural Networks 7 (1994), 507-522.
    • (1994) Neural Networks , vol.7 , pp. 507-522
    • Martinetz, T.1    Schulten, K.2
  • 15
    • 0004265767 scopus 로고
    • Prentice Hall, Englewood Cliffs, New Jersey
    • J. R. Munkres, Topology: A First Course, Prentice Hall, Englewood Cliffs, New Jersey, 1975.
    • (1975) Topology: A First Course
    • Munkres, J.R.1
  • 21
    • 0000734331 scopus 로고
    • Nouvelles applications des paramètres continus ̀ la théorie des formes quadratiques
    • G. F. Voronoi, "Nouvelles applications des paramètres continus ̀ la théorie des formes quadratiques," J. Reine Angew. Math. 133 (1907), 97-178.
    • (1907) J. Reine Angew. Math. , vol.133 , pp. 97-178
    • Voronoi, G.F.1
  • 22
    • 85024734580 scopus 로고
    • Free-form shape design using triangulated surfaces
    • W. Welch and A. Witkin, "Free-form shape design using triangulated surfaces," In Troc. SIGGRAPH", 1994, 247-256.
    • (1994) Troc. SIGGRAPH , pp. 247-256
    • Welch, W.1    Witkin, A.2
  • 23
    • 2842609430 scopus 로고
    • On a theorem of Leray
    • W.-T. Wu, "On a theorem of Leray," Chinese Math. 2 (1962), 398-410.
    • (1962) Chinese Math. , vol.2 , pp. 398-410
    • Wu, W.-T.1
  • 24
    • 85000312610 scopus 로고
    • Symbolic treatment of geometric degeneracies
    • C. K. Yap, "Symbolic treatment of geometric degeneracies," J. Symbolic Comput. 10 (1990), 349-370.
    • (1990) J. Symbolic Comput. , vol.10 , pp. 349-370
    • Yap, C.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.