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Volumn 60, Issue 10, 2010, Pages 2812-2833

Coreduction homology algorithm for inclusions and persistent homology

Author keywords

Cubical set; Homology algorithm; Reduction methods

Indexed keywords

CO-REDUCTION; CUBICAL SET; HOMOLOGY ALGORITHM; INCLUSION MAPS; NUMERICAL EXPERIMENTS; OVER CURRENT; PERSISTENT HOMOLOGY; REDUCTION METHODS; SPEED IMPROVEMENT;

EID: 78049247046     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.09.036     Document Type: Article
Times cited : (33)

References (41)
  • 2
    • 10044257064 scopus 로고
    • An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
    • C.J.A. Delfinado, and H. Edelsbrunner An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere Comput. Aided Geom. Design 12 1995 771 784
    • (1995) Comput. Aided Geom. Design , vol.12 , pp. 771-784
    • Delfinado, C.J.A.1    Edelsbrunner, H.2
  • 5
    • 0005426657 scopus 로고    scopus 로고
    • On efficient sparse integer matrix Smith normal form computations
    • J.-G. Dumas, B.D. Saunders, and G. Villard On efficient sparse integer matrix Smith normal form computations J. Symbolic Comput. 32 2001 71 99
    • (2001) J. Symbolic Comput. , vol.32 , pp. 71-99
    • Dumas, J.-G.1    Saunders, B.D.2    Villard, G.3
  • 8
    • 0031995192 scopus 로고    scopus 로고
    • Homology computation by reduction of chain complexes
    • T. Kaczynski, M. Mrozek, and M. lusarek Homology computation by reduction of chain complexes Comput. Math. Appl. 35 1998 59 70
    • (1998) Comput. Math. Appl. , vol.35 , pp. 59-70
    • Kaczynski, T.1    Mrozek, M.2    Lusarek, M.3
  • 9
    • 0002713827 scopus 로고    scopus 로고
    • Cubical approximation and computation of homology
    • Banach Center Publications
    • W. Kalies, K. Mischaikow, and G. Watson Cubical approximation and computation of homology Conley Index Theory, vol. 47 1999 Banach Center Publications 115 131
    • (1999) Conley Index Theory, Vol. 47 , pp. 115-131
    • Kalies, W.1    Mischaikow, K.2    Watson, G.3
  • 10
  • 11
    • 41949092026 scopus 로고    scopus 로고
    • Homology algorithm based on acyclic subspace
    • M. Mrozek, P. Pilarczyk, and N. elazna Homology algorithm based on acyclic subspace Comput. Math. Appl. 55 2008 2395 2412
    • (2008) Comput. Math. Appl. , vol.55 , pp. 2395-2412
    • Mrozek, M.1    Pilarczyk, P.2    Elazna, N.3
  • 14
    • 77955773470 scopus 로고    scopus 로고
    • Ech type approach to computing homology of maps
    • M. Mrozek ech type approach to computing homology of maps Discrete Comput. Geom. 44 2010 546 576
    • (2010) Discrete Comput. Geom. , vol.44 , pp. 546-576
    • Mrozek, M.1
  • 15
    • 22644441282 scopus 로고    scopus 로고
    • Graph approach to the computation of the homology of continuous maps
    • K. Mischaikow, M. Mrozek, and P. Pilarczyk Graph approach to the computation of the homology of continuous maps Found. Comput. Math. 5 2005 199 229
    • (2005) Found. Comput. Math. , vol.5 , pp. 199-229
    • Mischaikow, K.1    Mrozek, M.2    Pilarczyk, P.3
  • 16
    • 33846894097 scopus 로고    scopus 로고
    • Index pairs algorithms
    • M. Mrozek Index pairs algorithms Found. Comput. Math. 6 2006 457 493
    • (2006) Found. Comput. Math. , vol.6 , pp. 457-493
    • Mrozek, M.1
  • 20
    • 0031165463 scopus 로고    scopus 로고
    • Computing size functions from edge maps
    • C. Uras, and A. Verri Computing size functions from edge maps Int. J. Comput. Vis. 23 1997 169 183
    • (1997) Int. J. Comput. Vis. , vol.23 , pp. 169-183
    • Uras, C.1    Verri, A.2
  • 21
    • 0027711145 scopus 로고
    • On the use of size functions for shape analysis
    • A. Verri, C. Uras, P. Frosini, and M. Ferri On the use of size functions for shape analysis Biol. Cybernet. 70 1993 99 107
    • (1993) Biol. Cybernet. , vol.70 , pp. 99-107
    • Verri, A.1    Uras, C.2    Frosini, P.3    Ferri, M.4
  • 26
    • 41849100389 scopus 로고    scopus 로고
    • Barcodes: The persistent topology of data
    • R. Ghrist Barcodes: the persistent topology of data Bull. Amer. Math. Soc. 45 2008 61 75
    • (2008) Bull. Amer. Math. Soc. , vol.45 , pp. 61-75
    • Ghrist, R.1
  • 27
    • 0035385214 scopus 로고    scopus 로고
    • Size functions from a categorial viewpoint
    • F. Cagliari, M. Ferri, and P. Pozzi Size functions from a categorial viewpoint Acta Appl. Math. 67 2001 225 235
    • (2001) Acta Appl. Math. , vol.67 , pp. 225-235
    • Cagliari, F.1    Ferri, M.2    Pozzi, P.3
  • 29
    • 0002582525 scopus 로고    scopus 로고
    • New pseudodistances for the size function space
    • C. Landi, and P. Frosini New pseudodistances for the size function space R.A. Melter, A.Y. Wu, L.J. Latecki, Proc. SPIE, 3168, Vision Geometry VI 1997 52 60
    • (1997) Proc. SPIE, 3168, Vision Geometry VI , pp. 52-60
    • Landi, C.1    Frosini, P.2
  • 30
    • 0032649747 scopus 로고    scopus 로고
    • New methods for reducing size graphs
    • P. Frosini, and M. Pittore New methods for reducing size graphs Int. J. Comput. Math. 70 1999 505 517
    • (1999) Int. J. Comput. Math. , vol.70 , pp. 505-517
    • Frosini, P.1    Pittore, M.2
  • 33
    • 10444284320 scopus 로고    scopus 로고
    • Evolution of pattern complexity in the CahnHilliard theory of phase separation
    • M. Gameiro, K. Mischaikow, and T. Wanner Evolution of pattern complexity in the CahnHilliard theory of phase separation Acta Mater. 53 2005 693 704
    • (2005) Acta Mater. , vol.53 , pp. 693-704
    • Gameiro, M.1    Mischaikow, K.2    Wanner, T.3
  • 36
    • 0043068212 scopus 로고    scopus 로고
    • Thermal degradation of marble: Indications from finite-element modelling
    • T. Weiss, S. Siegesmund, and E.R. Fuller Jr. Thermal degradation of marble: indications from finite-element modelling Build. Environ. 38 2003 1251 1260
    • (2003) Build. Environ. , vol.38 , pp. 1251-1260
    • Weiss, T.1    Siegesmund, S.2    Fuller Jr., E.R.3
  • 37
    • 0033280273 scopus 로고    scopus 로고
    • Some considerations on the warping of marble facades: The example of Alvar Aalto's Finland Hall in Helsinki
    • G. Royer-Carfagni Some considerations on the warping of marble facades: the example of Alvar Aalto's Finland Hall in Helsinki Construct. Build. Mater. 13 1999 449 457
    • (1999) Construct. Build. Mater. , vol.13 , pp. 449-457
    • Royer-Carfagni, G.1
  • 39
    • 38149103285 scopus 로고    scopus 로고
    • Thermal-elastic response of marble polycrystals: Influence of grain orientation configuration
    • D.M. Saylor, E.R. Fuller Jr., and T. Weiss Thermal-elastic response of marble polycrystals: influence of grain orientation configuration Int. J. Mater. Res. 2007 2007 1256 1263
    • (2007) Int. J. Mater. Res. , vol.2007 , pp. 1256-1263
    • Saylor, D.M.1    Fuller Jr., E.R.2    Weiss, T.3
  • 40
    • 70449115485 scopus 로고    scopus 로고
    • Homology metrics for microstructure response fields in polycrystals
    • T. Wanner, E.R. Fuller Jr., and D.M. Saylor Homology metrics for microstructure response fields in polycrystals Acta Mater. 58 2010 102 110
    • (2010) Acta Mater. , vol.58 , pp. 102-110
    • Wanner, T.1    Fuller Jr., E.R.2    Saylor, D.M.3
  • 41
    • 34548525447 scopus 로고    scopus 로고
    • Diffuse-interface theory for structure formation and release behavior in controlled drug release systems
    • D.M. Saylor, C.-S. Kim, D.V. Patwardhan, and J.A. Warren Diffuse-interface theory for structure formation and release behavior in controlled drug release systems Acta Biomater. 3 2007 851 864
    • (2007) Acta Biomater. , vol.3 , pp. 851-864
    • Saylor, D.M.1    Kim, C.-S.2    Patwardhan, D.V.3    Warren, J.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.