Stability of persistence diagrams

Discrete and Computational Geometry

Volumn 37, Issue 1, 2007, Pages 103-120

  Cohen Steiner, David ^a   Edelsbrunner, Herbert ^b,c   Harer, John ^d  

^a INRIA   (France)

^b Duke University   (United States)

^c Geomagic   (United States)

^d DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846839317     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-006-1276-5     Document Type: Article

References (23)

1. N. Amenta and M. Bern. Surface reconstruction by Voronoi filtering. Discrete Comput. Geom. 22 (1999), 481-504.
2. M. d'Amico, P. Frosini, and C. Landi. Optimal matching between reduced size functions. Tech. Report No. 35, DISMI, Università di Modena e Reggio Emilia, 2003.
3. F. L. Bookstein. Morphometric Tools for Landmark Data. Cambridge University Press, Cambridge, 1999.
4. G. Carlsson, A. Collins, L. Guibas, and A. Zomorodian. Persistence barcodes for shapes. In Proc. 2nd Sympos. Geometry Process., pp. 127-138, 2004.
5. F. Chazal and A. Lieutier. The lambda medial axis. Graphical Models 67 (2005), 304-331.
6. n from noisy point samples. In Proc. 21st Ann. Sympos. Comput. Geom., pp. 255-262, 2005.
7. D. Cohen-Steiner and H. Edelsbrunner. Inequalities for the curvature of curves and surfaces. In Proc. 21st Ann. Sympos. Comput. Geom., pp. 272-277, 2005.
8. T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein. Introduction to Algorithms, second edition. MIT Press, Cambridge, Massachusetts, 2001.
9. V. de Silva and G. Carlsson. Topological estimation using witness complexes. In Proc. Sympos. Point-Based Graphics, pp. 157-166, 2004.
10. T. K. Dey and S. Goswami. Provable surface reconstruction from noisy samples. In Proc. 20th Ann. Sympos. Comput. Geom., pp. 330-339, 2004.
11. H. Edelsbrunner, D. Letscher, and A. Zomorodian. Topological persistence and simplification. Discrete Comput. Geom. 28 (2002), 511-533.
12. H. Edelsbrunner and E. P. Mücke. Three-dimensional alpha shapes. ACM Trans. Comput. Graphics 13 (1994), 43-72.
13. J. H. G. Fu. Tubular neighborhoods in Euclidean spaces. Duke Math. J. 52 (1995), 1025-1046.
14. M. Goresky and R. MacPherson. Stratified Morse Theory. Springer-Verlag, New York, 1988.
15. L. Lovász and M. D. Plummer. Matching Theory. North-Holland, Amsterdam, 1986.
16. J. Milnor. Morse Theory. Princeton University Press, New Jersey, 1963.
17. J. R. Munkres. Elements of Algebraic Topology. Addison-Wesley, Redwood City, California, 1984.
18. P. Niyogi, S. Smale, and S. Weinberger. Finding the homology of submanifolds with high confidence from random samples. Manuscript, Toyota Technological Institute, Chicago, Illinois, 2004.
19. V. Robins. Toward computing homology from finite approximations. Topology Proceedings 24 (1999), 503-532.
20. G. Sapiro. Geometric Partial Differential Equations and Image Analysis. Cambridge University Press, Cambridge, 2001.
21. E. Spanier. Algebraic Topology. Springer-Verlag, New York, 1966.
22. G. Strang. Introduction to Linear Algebra. Wellesley-Cambridge Press, Wellesley, Massachusetts, 1993.
23. A. Zomorodian and G. Carlsson. Computing persistent homology. In Proc. 20th Ann. Sympos. Comput. Geom., pp. 347-356, 2004.