메뉴 건너뛰기




Volumn , Issue , 2007, Pages 536-546

Inferring local homology from sampled stratified spaces

Author keywords

Algorithms; Delaunay triangulations; Local homology; Persistence; Power diagrams; Simplicial complexes; Stratified spaces; Topological data analysis

Indexed keywords

(001) PARAMETER; DELAUNAY TRIANGULATION (DT); DISTANCE FUNCTIONS;

EID: 46749111114     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2007.4389523     Document Type: Conference Paper
Times cited : (65)

References (28)
  • 1
    • 0033465068 scopus 로고    scopus 로고
    • Surface reconstruction by Voronoi filtering
    • N. AMENTA AND M. BERN. Surface reconstruction by Voronoi filtering. Discrete Comput. Geom. 22 (1999), 481-504.
    • (1999) Discrete Comput. Geom , vol.22 , pp. 481-504
    • AMENTA, N.1    BERN, M.2
  • 2
    • 0042378381 scopus 로고    scopus 로고
    • Laplacian eigenmaps for dimensionality reduction and data representation
    • M. BELKIN AND P. NIYOGI. Laplacian eigenmaps for dimensionality reduction and data representation. Neural Computation 15 (2003), 1373-1396.
    • (2003) Neural Computation , vol.15 , pp. 1373-1396
    • BELKIN, M.1    NIYOGI, P.2
  • 3
    • 46749095867 scopus 로고    scopus 로고
    • P. BENDICH, J. HARER AND H. KING. Persistent intersection homology for stratified spaces. Manuscript, Math. Dept., Duke Univ., Durham, North Carolina, 2007.
    • P. BENDICH, J. HARER AND H. KING. Persistent intersection homology for stratified spaces. Manuscript, Math. Dept., Duke Univ., Durham, North Carolina, 2007.
  • 4
    • 0029234004 scopus 로고    scopus 로고
    • Nonlinear manifold learning for visual speech recognition
    • IEEE Comput. Soc. Press, Los Alamitos, California
    • C. BREGLER AND S. M. OMOHUNDRO. Nonlinear manifold learning for visual speech recognition. In "Proc. 5th Internat. Conf. Comput. Vision, 1995", IEEE Comput. Soc. Press, Los Alamitos, California, 494-499.
    • Proc. 5th Internat. Conf. Comput. Vision, 1995 , pp. 494-499
    • BREGLER, C.1    OMOHUNDRO, S.M.2
  • 13
    • 0028259338 scopus 로고    scopus 로고
    • H. EDELSBRUNNER AND E. P. MÜCKE. Three-dimensional alpha shapes. ACM Trans. Comput. Graphics 13 (1994), 43-72.
    • H. EDELSBRUNNER AND E. P. MÜCKE. Three-dimensional alpha shapes. ACM Trans. Comput. Graphics 13 (1994), 43-72.
  • 15
    • 0000355515 scopus 로고
    • Intersection homology I
    • M. GORESKY AND R. MACPHERSON. Intersection homology I. Topology 19 (1982), 135-162.
    • (1982) Topology , vol.19 , pp. 135-162
    • GORESKY, M.1    MACPHERSON, R.2
  • 17
    • 28144453646 scopus 로고
    • Intersection cohomology of cs-spaces and Zeeman's filtration
    • N. HABEGGER AND L. SAPER. Intersection cohomology of cs-spaces and Zeeman's filtration. Invent. Math. 105 (1991), 247-272.
    • (1991) Invent. Math , vol.105 , pp. 247-272
    • HABEGGER, N.1    SAPER, L.2
  • 19
  • 21
    • 0038257475 scopus 로고    scopus 로고
    • Surgery and stratified spaces
    • S. Cappell, A. Ranicki and J. Rosenberg eds, Princeton Univ. Press, Princeton, New Jersey
    • B. HUGHES AND S. WEINBERGER. Surgery and stratified spaces. In Surveys on Surgery Theory, S. Cappell, A. Ranicki and J. Rosenberg (eds.), Princeton Univ. Press, Princeton, New Jersey, 2000, 311-342.
    • (2000) Surveys on Surgery Theory , pp. 311-342
    • HUGHES, B.1    WEINBERGER, S.2
  • 22
    • 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
  • 25
    • 85036992040 scopus 로고    scopus 로고
    • Finding the homology of submanifolds with high confidence from random samples
    • to appear
    • P. NIYOGI, S. SMALE AND S. WEINBERGER. Finding the homology of submanifolds with high confidence from random samples. Discrete Comput. Geometry, to appear.
    • Discrete Comput. Geometry
    • NIYOGI, P.1    SMALE, S.2    WEINBERGER, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.