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Volumn 16, Issue 4, 2006, Pages 291-314

An algebraic topological method for feature identification

Author keywords

Computational topology; Point cloud data; Singularities

Indexed keywords


EID: 33746891453     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021819590600204X     Document Type: Article
Times cited : (53)

References (19)
  • 1
    • 7544240597 scopus 로고    scopus 로고
    • A barcode shape descriptor for curve point cloud data
    • eds. M. Alexa and S. Rusinkiewicz, ETH, Zürich, Switzerland
    • A. Collins, A. Zomorodian, G. Carlsson and L. Guibas, A barcode shape descriptor for curve point cloud data, in Eurographics Symp. Point-Based Graphics, eds. M. Alexa and S. Rusinkiewicz, ETH, Zürich, Switzerland, 2004.
    • (2004) Eurographics Symp. Point-based Graphics
    • Collins, A.1    Zomorodian, A.2    Carlsson, G.3    Guibas, L.4
  • 2
    • 85122490254 scopus 로고    scopus 로고
    • Topological estimation using witness complexes
    • eds. M. Alexa and S. Rusinkiewicz, ETH, Zürich, Switzerland
    • V. de Silva and G. Carlsson, Topological estimation using witness complexes, in Eurographics Symp. Point-Based Graphics, eds. M. Alexa and S. Rusinkiewicz, ETH, Zürich, Switzerland, 2004.
    • (2004) Eurographics Symp. Point-based Graphics
    • De Silva, V.1    Carlsson, G.2
  • 3
    • 33746915828 scopus 로고    scopus 로고
    • Coordinate-free coverage in sensor networks via persistent homology
    • Cambridge, Massachusetts, Massachusetts Institute of Technology
    • V. de Silva, R. Ghrist and A. Muhammad, Coordinate-free coverage in sensor networks via persistent homology, in Proc. Robotics: Science & Systems, No. 1, Cambridge, Massachusetts, 2005, Massachusetts Institute of Technology.
    • (2005) Proc. Robotics: Science & Systems , Issue.1
    • De Silva, V.1    Ghrist, R.2    Muhammad, A.3
  • 4
    • 84896781644 scopus 로고    scopus 로고
    • Shape segmentation and matching from noisy point clouds
    • eds. M. Alexa and S. Rusinkiewicz, ETH, Zürich, Switzerland
    • T. K. Dey, J. Giesen and S. Goswami, Shape segmentation and matching from noisy point clouds, in Eurographics Symp. Point-Based Graphics, eds. M. Alexa and S. Rusinkiewicz, ETH, Zürich, Switzerland, 2004, pp. 193-199.
    • (2004) Eurographics Symp. Point-based Graphics , pp. 193-199
    • Dey, T.K.1    Giesen, J.2    Goswami, S.3
  • 5
    • 0038310007 scopus 로고    scopus 로고
    • Shape dimension and approximation from samples
    • T. K. Dey, J. Giesen, S. Goswami and W. Zhao, Shape dimension and approximation from samples, Discr. Comput. Geom., 29(3) (2003) 419-434.
    • (2003) Discr. Comput. Geom. , vol.29 , Issue.3 , pp. 419-434
    • Dey, T.K.1    Giesen, J.2    Goswami, S.3    Zhao, W.4
  • 7
    • 84949226151 scopus 로고    scopus 로고
    • Shape reconstruction with Delaunay complex
    • Springer-Verlag Lecture Notes
    • H. Edelsbrunner, Shape reconstruction with Delaunay complex, in Proc. Symp. Latin American Theoret. Inform., Springer-Verlag Lecture Notes, Vol. 1380, 1998, pp. 119-132.
    • (1998) Proc. Symp. Latin American Theoret. Inform. , vol.1380 , pp. 119-132
    • Edelsbrunner, H.1
  • 11
  • 12
    • 0003988608 scopus 로고
    • Mathematics Lecture Note Series, (Benjamin/Cummings, Reading, Massachusetts)
    • M. J. Greenberg and J. R. Harper, Algebraic Topology: A First Course, Mathematics Lecture Note Series, Vol. 58 (Benjamin/Cummings, Reading, Massachusetts, 1981).
    • (1981) Algebraic Topology: A First Course , vol.58
    • Greenberg, M.J.1    Harper, J.R.2
  • 14
    • 0004193355 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • A. Hatcher, Algebraic Topology (Cambridge University Press, Cambridge, 2002).
    • (2002) Algebraic Topology
    • Hatcher, A.1
  • 15
    • 0003946510 scopus 로고
    • Springer Series in Statistics (Springer-Verlag, New York)
    • I. T. Joliffe, Principal Component Analysis, Springer Series in Statistics (Springer-Verlag, New York, 1986).
    • (1986) Principal Component Analysis
    • Joliffe, I.T.1
  • 16
    • 0001906622 scopus 로고
    • Sur la forme des espaces topologiques et sur les points fixes des representations
    • J. Leray, Sur la forme des espaces topologiques et sur les points fixes des representations, J. Math. Pures Appl. 24 (1945) 95-167.
    • (1945) J. Math. Pures Appl. , vol.24 , pp. 95-167
    • Leray, J.1
  • 17
    • 0029214471 scopus 로고
    • Estimating the tensor of curvature of a surface from a polyhedral approximation
    • G. Taubin, Estimating the tensor of curvature of a surface from a polyhedral approximation, in ICCV, 1995, pp. 902-907.
    • (1995) ICCV , pp. 902-907
    • Taubin, G.1
  • 18
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • J. B. Tenenbaum, V. de Silva and J. C. Langford, A global geometric framework for nonlinear dimensionality reduction, Science 290 (2000) 2319-2323.
    • (2000) Science , vol.290 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3
  • 19
    • 12944263639 scopus 로고    scopus 로고
    • Computing persistent homology
    • A. Zomorodian and G. Carlsson, Computing persistent homology, Discr. Comput. Geom. 33(2) (2005) 249-274.
    • (2005) Discr. Comput. Geom. , vol.33 , Issue.2 , pp. 249-274
    • Zomorodian, A.1    Carlsson, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.