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Volumn 34, Issue 8, 2013, Pages 863-872

Persistent Betti numbers for a noise tolerant shape-based approach to image retrieval

Author keywords

Hausdorff distance; Multidimensional persistent homology; Symmetric difference distance

Indexed keywords

CONTENT BASED RETRIEVAL; DEFORMATION; GEOMETRY; TOPOLOGY;

EID: 84891389256     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patrec.2012.10.015     Document Type: Article
Times cited : (53)

References (29)
  • 2
    • 0037653714 scopus 로고    scopus 로고
    • A new method for representing and matching shapes of natural objects
    • DOI 10.1016/S0031-3203(02)00352-7
    • Bernier, T., Landry, J., 2003. New method for representing and matching shapes of natural objects. Pattern Recognit. 36 (8), 1711-1723. (Pubitemid 36551663)
    • (2003) Pattern Recognition , vol.36 , Issue.8 , pp. 1711-1723
    • Bernier, T.1    Landry, J.-A.2
  • 5
    • 80052523850 scopus 로고    scopus 로고
    • A new algorithm for computing the 2-dimensional matching distance between size functions
    • Biasotti, S., Cerri, A, Frosini, P., Giorgi, D., 2011. A new algorithm for computing the 2-dimensional matching distance between size functions. Pattern Recognition Lett. 32 (14), 1735-1746.
    • (2011) Pattern Recognition Lett. , vol.32 , Issue.14 , pp. 1735-1746
    • Biasotti, S.1    Cerri, A.2    Frosini, P.3    Giorgi, D.4
  • 6
    • 77954733142 scopus 로고    scopus 로고
    • An efficient and robust algorithm for shape indexing and retrieval
    • Biswas, S., Aggarwal, G., Chellappa, R., 2010. An efficient and robust algorithm for shape indexing and retrieval. IEEE Trans. Multimedia 12 (5), 372-385.
    • (2010) IEEE Trans. Multimedia , vol.12 , Issue.5 , pp. 372-385
    • Biswas, S.1    Aggarwal, G.2    Chellappa, R.3
  • 7
    • 78650515001 scopus 로고    scopus 로고
    • Finiteness of rank invariants of multidimensional persistent homology groups
    • Cagliari, F., Landi, C, 2011. Finiteness of rank invariants of multidimensional persistent homology groups. Appl. Math. Lett. 24, 516-518.
    • (2011) Appl. Math. Lett. , vol.24 , pp. 516-518
    • Cagliari, F.1    Landi, C.2
  • 8
    • 77952057398 scopus 로고    scopus 로고
    • One-dimensional reduction of multidimensional persistent homology
    • Cagliari, F., Di Fabio, B., Ferri, M., 2012. One-dimensional reduction of multidimensional persistent homology. Proc. Am. Math. Soc. 138 (8), 3003-3017.
    • (2012) Proc. Am. Math. Soc. , vol.138 , Issue.8 , pp. 3003-3017
    • Cagliari, F.1    Di Fabio, B.2    Ferri, M.3
  • 9
    • 67349232288 scopus 로고    scopus 로고
    • The theory of multidimensional persistence
    • Carlsson, G., Zomorodian, A, 2009. The theory of multidimensional persistence. Discrete Comput. Geom. 42 (1), 71-93.
    • (2009) Discrete Comput. Geom. , vol.42 , Issue.1 , pp. 71-93
    • Carlsson, G.1    Zomorodian, A.2
  • 10
    • 84875666186 scopus 로고    scopus 로고
    • Comparison of persistent homologies for vector functions: From continuous to discrete and back
    • Università di Bologna (Gennaio 2012)
    • Cavazza, N., Ethier, M., Frosini, P., Kaczynski, T., Landi, C, 2012. Comparison of persistent homologies for vector functions: from continuous to discrete and back, Tech. Rep. 3205, Università di Bologna, (Gennaio 2012)
    • (2012) Tech. Rep. 3205
    • Cavazza, N.1    Ethier, M.2    Frosini, P.3    Kaczynski, T.4    Landi, C.5
  • 11
    • 84880134149 scopus 로고    scopus 로고
    • Betti numbers in multidimensional persistent homology are stable functions
    • http://dx.doi.org/10.1002/mma.2704
    • Cerri, A., Di Fabio, B., Ferri, M., Frosini, P., Landi, C, 2012. Betti numbers in multidimensional persistent homology are stable functions. Math. Method Appl. Sci. http://dx.doi.org/10.1002/mma.2704.
    • (2012) Math. Method Appl. Sci.
    • Cerri, A.1    Di Fabio, B.2    Ferri, M.3    Frosini, P.4    Landi, C.5
  • 14
    • 77949266078 scopus 로고    scopus 로고
    • Natural pseudo-distance and optimal matching between reduced size functions
    • d'Amico, M., Frosini, P., Landi, C, 2010. Natural pseudo-distance and optimal matching between reduced size functions. Acta Appl. Math. 109, 527-554.
    • (2010) Acta Appl. Math. , vol.109 , pp. 527-554
    • D'Amico, M.1    Frosini, P.2    Landi, C.3
  • 15
    • 0036445241 scopus 로고    scopus 로고
    • Shapes and geometries: Analysis, differential calculus, and optimization
    • Philadelphia, PA, USA
    • Delfour, M.C., Zolésio, J.-P., 2001. Shapes and Geometries: Analysis, Differential Calculus, and Optimization. Society of Industrial and Applied Mathematics, Philadelphia, PA, USA.
    • (2001) Society of Industrial and Applied Mathematics
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 18
  • 22
    • 0034857373 scopus 로고    scopus 로고
    • Recognition of shapes by editing shock graphs
    • Sebastian, T., Klein, P., Kimia, B., 2001. Recognition of shapes by editing shock graphs. In: ICCV'01, Vol. 1, pp. 755-762.
    • (2001) ICCV'01 , vol.1 , pp. 755-762
    • Sebastian, T.1    Klein, P.2    Kimia, B.3
  • 24
    • 35048863124 scopus 로고    scopus 로고
    • Shape matching and recognition using generative models and informative features
    • Tu, Z., Yuille, A., 2004. Shape matching and recognition using generative models and informative features. In: ECCV 2004, Vol. 3023, pp. 195-209.
    • (2004) ECCV 2004 , vol.3023 , pp. 195-209
    • Tu, Z.1    Yuille, A.2
  • 26
    • 0027711145 scopus 로고
    • On the use of size functions for shape analysis
    • Verri, A., Uras, C, Frosini, P., Ferri, M., 1993. On the use of size functions for shape analysis. Biol. Cybern. 70, 99-107.
    • (1993) Biol. Cybern. , vol.70 , pp. 99-107
    • Verri, A.1    Uras, C.2    Frosini, P.3    Ferri, M.4
  • 27
    • 0004151989 scopus 로고
    • Addison-Wesley, Publishing Company
    • Willard, S., 1970. General Topology. Addison-Wesley, Publishing Company.
    • (1970) General Topology
    • Willard, S.1
  • 28
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh, L, 1965. Fuzzy sets. Inf. Control 8, 338-353.
    • (1965) Inf. Control , vol.8 , pp. 338-353
    • Zadeh, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.