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Volumn 30, Issue 1, 2006, Pages 62-69

Computation of homology groups and generators

Author keywords

Homology groups; Image analysis; Shape invariant; Topological invariant

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; OBJECT RECOGNITION; TOPOLOGY;

EID: 30344459126     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cag.2005.10.011     Document Type: Article
Times cited : (20)

References (24)
  • 2
    • 0024873404 scopus 로고
    • A digital fundamental group
    • TY Kong A digital fundamental group Computers and Graphics 13 2 1989 159 166
    • (1989) Computers and Graphics , vol.13 , Issue.2 , pp. 159-166
    • Kong, T.Y.1
  • 3
    • 0032673290 scopus 로고    scopus 로고
    • A classical construction for the digital fundamental group
    • L Boxer A classical construction for the digital fundamental group Journal of Mathematical Imaging and Vision 10 1999 51 62
    • (1999) Journal of Mathematical Imaging and Vision , vol.10 , pp. 51-62
    • Boxer, L.1
  • 7
    • 10044257064 scopus 로고
    • An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
    • CJA Delfinado, and H Edelsbrunner An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere Computer Aided Geometric Design 12 7 1995 771 784
    • (1995) Computer Aided Geometric Design , vol.12 , Issue.7 , pp. 771-784
    • Delfinado, C.J.A.1    Edelsbrunner, H.2
  • 8
    • 0004193355 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Hatcher A. Algebraic topology. Cambridge: Cambridge University Press; 2002. Available on http://www.math.cornell.edu/ ∼ hatcher/AT/ATpage.html.
    • (2002) Algebraic Topology
    • Hatcher, A.1
  • 10
    • 0242628755 scopus 로고    scopus 로고
    • Toward digital cohomology
    • Sanniti di Baja G, Svensson S, Nyström I, editors. Proceedings of DGCI'2003 Berlin: Springer
    • González-Díaz R, Real P. Toward digital cohomology. In: Sanniti di Baja G, Svensson S, Nyström I, editors. Proceedings of DGCI'2003. Lecture notes in computer science, vol. 2886. Berlin: Springer; 2003. p. 92-101.
    • (2003) Lecture Notes in Computer Science , vol.2886 , pp. 92-101
    • González-Díaz, R.1    Real, P.2
  • 14
    • 0000129115 scopus 로고
    • Simplicial homotopy theory
    • E Curtis Simplicial homotopy theory Advanced Mathematics 6 1971 107 209
    • (1971) Advanced Mathematics , vol.6 , pp. 107-209
    • Curtis, E.1
  • 16
    • 24344501546 scopus 로고    scopus 로고
    • Topological mainframe for numerical representations of objects
    • Proceeding of the international conference computer science and its applications Berlin: Springer
    • Desbarats P, Gueorguieva S. Topological mainframe for numerical representations of objects. In: Proceeding of the international conference computer science and its applications. Lecture notes in computer science, vol. 2668. Berlin: Springer; 2003. p. 498-507.
    • (2003) Lecture Notes in Computer Science , vol.2668 , pp. 498-507
    • Desbarats, P.1    Gueorguieva, S.2
  • 23
    • 0029534770 scopus 로고
    • Nearly optimal-algorithms for canonical matrix-forms
    • M Giesbrecht Nearly optimal-algorithms for canonical matrix-forms SIAM Journal of Computing 24 5 1995 948 969
    • (1995) SIAM Journal of Computing , vol.24 , Issue.5 , pp. 948-969
    • Giesbrecht, M.1
  • 24
    • 24344434628 scopus 로고    scopus 로고
    • Computation of homology groups and generators
    • Andrès E, Damiand G, Lienhardt P, editors. Proceedings of international conference on discrete geometry for computer imagery (DGCI'2005), Poitiers, France Berlin: Springer
    • Peltier S, Alayrangues S, Fuchs L, Lachaud J-O. Computation of homology groups and generators. In: Andrès E, Damiand G, Lienhardt P, editors. Proceedings of international conference on discrete geometry for computer imagery (DGCI'2005), Poitiers, France. Lecture notes in computer science, vol. 3429. Berlin: Springer; 2005. p. 195-205.
    • (2005) Lecture Notes in Computer Science , vol.3429 , pp. 195-205
    • Peltier, S.1    Alayrangues, S.2    Fuchs, L.3    Lachaud, J.-O.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.