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Volumn , Issue , 2005, Pages 255-262

Weak feature size and persistent homology: Computing homology of solids in ℝ n from noisy data samples

Author keywords

Homotopy type; Reverse engineering; Surface reconstruction; Topological persistence

Indexed keywords

HOMOTOPY TYPE; SURFACE RECONSTRUCTION; TOPOLOGICAL PERSISTENCE;

EID: 33244473496     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1064092.1064132     Document Type: Conference Paper
Times cited : (68)

References (24)
  • 2
  • 3
    • 0033702377 scopus 로고    scopus 로고
    • Smooth surface reconstruction via natural neighbour interpolation of distance functions
    • F. Cazals and J.D. Boissonnat. Smooth surface reconstruction via natural neighbour interpolation of distance functions. Sixteenth ACM Symposium on Computational Geometry (2000) pp.223-232
    • (2000) Sixteenth ACM Symposium on Computational Geometry , pp. 223-232
    • Cazals, F.1    Boissonnat, J.D.2
  • 6
    • 84858555045 scopus 로고    scopus 로고
    • n from noisy data samples
    • n from noisy data samples, research report available at http://math.u-bourgogne.fr/topo/chazal/ publications.htm
    • Research Report
    • Chazal, F.1    Lieutier, A.2
  • 7
    • 3943094700 scopus 로고    scopus 로고
    • Stability and finiteness properties of medial axis and skeleton
    • F. Chazal, R. Soufflet, Stability and finiteness properties of medial axis and skeleton, Journal of Dynamical and Control Systems, vol.10, No. 2, pp. 149-170, 2004.
    • (2004) Journal of Dynamical and Control Systems , vol.10 , Issue.2 , pp. 149-170
    • Chazal, F.1    Soufflet, R.2
  • 8
    • 0001822974 scopus 로고
    • Critical points of distance functions and applications to geometry
    • Geometric Topology: recent developments,Montecatini Terme, 1990
    • J. Cheeger, Critical Points of Distance Functions and Applications to Geometry, Geometric Topology: recent developments,Montecatini Terme, 1990, Springer Lecture Notes, 1504 (1991), 1-38.
    • (1991) Springer Lecture Notes , vol.1504 , pp. 1-38
    • Cheeger, J.1
  • 10
    • 84967708668 scopus 로고
    • Generalized gradients and applications
    • F.H. Clarke, Generalized gradients and applications, Trans. Amer. Math. Soc. 205 (1975), 247-262.
    • (1975) Trans. Amer. Math. Soc. , vol.205 , pp. 247-262
    • Clarke, F.H.1
  • 13
    • 2442564037 scopus 로고    scopus 로고
    • Ricky Pollack and Eli Goodman Festschrift ed. B. Aronov, S. Basu, J. Pach and M. Sharir.Springer-Verlag
    • H. Edelsbrunner. Surface reconstruction by wrapping finite point sets in space, in Ricky Pollack and Eli Goodman Festschrift ed. B. Aronov, S. Basu, J. Pach and M. Sharir.Springer-Verlag, 379-404
    • Surface Reconstruction by Wrapping Finite Point Sets in Space , pp. 379-404
    • Edelsbrunner, H.1
  • 16
    • 84972563523 scopus 로고
    • Tubular neighborhoods in euclidean spaces
    • J.H.G. Fu, Tubular Neighborhoods in Euclidean Spaces, Duke Math. Jornal, Vol. 52, No. 4 (1995).
    • (1995) Duke Math. Jornal , vol.52 , Issue.4
    • Fu, J.H.G.1
  • 18
    • 0010041995 scopus 로고
    • Critical point theory for distance functions
    • Part 3
    • K. Grove, Critical Point Theory for Distance Functions, Proc. of Symposia in Pure Mathematics, Vol. 54 (1993), Part 3.
    • (1993) Proc. of Symposia in Pure Mathematics , vol.54
    • Grove, K.1
  • 19
    • 0001122135 scopus 로고
    • A generalized sphere theorem
    • K. Grove, K. Shiohama, A generalized sphere theorem, Ann. of Math., vol 106, 1977, pp 201-211.
    • (1977) Ann. of Math. , vol.106 , pp. 201-211
    • Grove, K.1    Shiohama, K.2
  • 20
    • 2942755983 scopus 로고    scopus 로고
    • n has the same homotopy type as its medial axis
    • Elsevier
    • n has the same homotopy type as its medial axis, Computer-Aided Design, 36(2004) 1029-1046, Elsevier.
    • (2004) Computer-aided Design , vol.36 , pp. 1029-1046
    • Lieutier, A.1
  • 23
    • 0003807144 scopus 로고
    • Me Graw-Hill Series in Higher Mathematics
    • E.H.Spanier. Algebraic Topology Me Graw-Hill Series in Higher Mathematics, 1966.
    • (1966) Algebraic Topology
    • Spanier, E.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.