-
1
-
-
0038455092
-
-
Technical report, Dept. Psychology, Stanford University, USA
-
M. Bernstein, V. de Silva, J. Lanford, and J. Tenenbaum. Graph pproximations to geodesics on embedded manifolds. Technical report, Dept. Psychology, Stanford University, USA, 2000.
-
(2000)
Graph Pproximations to Geodesics on Embedded Manifolds
-
-
Bernstein, M.1
De Silva, V.2
Lanford, J.3
Tenenbaum, J.4
-
2
-
-
38849204207
-
Reeb graphs for shape analysis and applications
-
DOI 10.1016/j.tcs.2007.10.018, PII S0304397507007396
-
S. Biasotti, D. Giorgi, M. Spagnuolo, and B. Falcidieno. Reeb graphs for shape analysis and applications. Theor. Comput. Sci., 392(1-3):5-22, 2008. (Pubitemid 351199935)
-
(2008)
Theoretical Computer Science
, vol.392
, Issue.1-3
, pp. 5-22
-
-
Biasotti, S.1
Giorgi, D.2
Spagnuolo, M.3
Falcidieno, B.4
-
3
-
-
70349108339
-
Analysis of scalar fields over point cloud data. in
-
F. Chazal, L. J. Guibas, S. Oudot, and P. Skraba. Analysis of scalar fields over point cloud data. In Proc. 20th ACM-SIAM Sympos. Discrete Algorithms, pages 1021-1030, 2009.
-
(2009)
Proc. 20th ACM-SIAM Sympos. Discrete Algorithms
, pp. 1021-1030
-
-
Chazal, F.1
Guibas, L.J.2
Oudot, S.3
Skraba, P.4
-
4
-
-
78149257891
-
-
Technical Report Research Report RR-6968 INRIA, June
-
F. Chazal, L. J. Guibas, S. Y. Oudot, and P. Skraba. Persistence-based clustering in Riemannian manifolds. Technical Report Research Report RR-6968, INRIA, June 2009.
-
(2009)
Persistence-based Clustering in Riemannian Manifolds
-
-
Chazal, F.1
Guibas, L.J.2
Oudot, S.Y.3
Skraba, P.4
-
5
-
-
57349115995
-
Towards persistence-based reconstruction in Euclidean spaces
-
F. Chazal and S. Oudot. Towards persistence-based reconstruction in Euclidean spaces. In Proc. 24th ACM Sympos. on Comput. Geom., pages 232-241, 2008.
-
(2008)
Proc. 24th ACM Sympos. on Comput. Geom.
, pp. 232-241
-
-
Chazal, F.1
Oudot, S.2
-
6
-
-
58849140892
-
Extending persistence using Poincaré and Lefschetz duality
-
D. Cohen-Steiner, H. Edelsbrunner, and J. Harer. Extending persistence using Poincaré and Lefschetz duality. Foundations of Computational Mathematics, 9(1):79-103, 2009.
-
(2009)
Foundations of Computational Mathematics
, vol.9
, Issue.1
, pp. 79-103
-
-
Cohen-Steiner, D.1
Edelsbrunner, H.2
Harer, J.3
-
7
-
-
33748048165
-
Vines and vineyards by updating persistence in linear time
-
Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06
-
D. Cohen-Steiner, H. Edelsbrunner, and D. Morozov. Vines and vineyards by updating persistence in linear time. In Proc. 22nd Annu. Sympos. Comput. Geom., pages 119-126, 2006. (Pubitemid 44300779)
-
(2006)
Proceedings of the Annual Symposium on Computational Geometry
, vol.2006
, pp. 119-126
-
-
Cohen-Steiner, D.1
Edelsbrunner, H.2
Morozov, D.3
-
8
-
-
4344669332
-
Loops in Reeb graphs of 2-manifolds
-
K. Cole-McLaughlin, H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pascucci. Loops in Reeb graphs of 2-manifolds. Discrete Comput. Geom., 32(2):231-244, 2004. (Pubitemid 39129966)
-
(2004)
Discrete and Computational Geometry
, vol.32
, Issue.2
, pp. 231-244
-
-
Cole-McLaughlin, K.1
Edelsbrunner, H.2
Harer, J.3
Natarajan, V.4
Pascucci, V.5
-
11
-
-
77954938168
-
Approximating loops in a shortest homology basis from point data
-
T. K. Dey, J. Sun, and Y. Wang. Approximating loops in a shortest homology basis from point data. In Proc. 26th Annu. Sympos. Compu. Geom., pages 166-175, 2010.
-
(2010)
Proc. 26th Annu. Sympos. Compu. Geom.
, pp. 166-175
-
-
Dey, T.K.1
Sun, J.2
Wang, Y.3
-
14
-
-
70349220130
-
Persistent homology - A survey
-
J. E. Goodman, J. Pach, and R. Pollack, editors. Amer. Math. Soc., Providence, Rhode Island. Contemporary Mathematics 453
-
H. Edelsbrunner and J. Harer. Persistent homology - a survey. In J. E. Goodman, J. Pach, and R. Pollack, editors, Surveys on Discrete and Computational Geometry. Twenty Years Later, pages 257-282. Amer. Math. Soc., Providence, Rhode Island, 2008. Contemporary Mathematics 453.
-
(2008)
Surveys on Discrete and Computational Geometry. Twenty Years Later
, pp. 257-282
-
-
Edelsbrunner, H.1
Harer, J.2
-
15
-
-
84867965784
-
Time-varying Reeb graphs for continuous space-time data
-
H. Edelsbrunner, J. Harer, A. Mascarenhas, V. Pascucci, and J. Snoeyink. Time-varying Reeb graphs for continuous space-time data. Comput. Geom., 41(3):149-166, 2008.
-
(2008)
Comput. Geom.
, vol.41
, Issue.3
, pp. 149-166
-
-
Edelsbrunner, H.1
Harer, J.2
Mascarenhas, A.3
Pascucci, V.4
Snoeyink, J.5
-
16
-
-
0036883297
-
Topological persistence and simplification
-
DOI 10.1007/s00454-002-2885-2
-
H. Edelsbrunner, D. Letscher, and A. Zomorodian. Topological persistence and simplification. Discrete Comput. Geom., 28:511-533, 2002. (Pubitemid 36161396)
-
(2002)
Discrete and Computational Geometry
, vol.28
, Issue.4
, pp. 511-533
-
-
Edelsbrunner, H.1
Letscher, D.2
Zomorodian, A.3
-
17
-
-
77954900227
-
A randomized O(mlogm) time algorithm for computing Reeb graph of arbitrary simplicial complexes
-
W. Harvey, R. Wenger, and Y. Wang. A randomized O(mlogm) time algorithm for computing Reeb graph of arbitrary simplicial complexes. In Proc. 26th Annu. Sympos. Compu. Geom., pages 267-276, 2010.
-
(2010)
Proc. 26th Annu. Sympos. Compu. Geom.
, pp. 267-276
-
-
Harvey, W.1
Wenger, R.2
Wang, Y.3
-
18
-
-
33750977243
-
On the Vietoris-Rips complexes and a cohomology theory for metric spaces
-
Ann. Math. Stud. Princeton Univ. Press
-
J.-C. Hausmann. On the Vietoris-Rips complexes and a cohomology theory for metric spaces. In Prospects in Topology: Proc. Conf. in Honour of William Browder, Ann. Math. Stud., 138, pages 175-188. Princeton Univ. Press, 1995.
-
(1995)
Prospects in Topology: Proc. Conf. in Honour of William Browder
, vol.138
, pp. 175-188
-
-
Hausmann, J.-C.1
-
20
-
-
40349102105
-
Finding the homology of submanifolds with high confidence from random samples
-
P. Niyogi, S. Smale, and S. Weinberger. Finding the homology of submanifolds with high confidence from random samples. Discrete Comput. Geom., 39:419-441, 2008.
-
(2008)
Discrete Comput. Geom.
, vol.39
, pp. 419-441
-
-
Niyogi, P.1
Smale, S.2
Weinberger, S.3
-
21
-
-
34547664988
-
Robust on-line computation of Reeb graphs: Simplicity and speed
-
V. Pascucci, G. Scorzelli, P.-T. Bremer, and A. Mascarenhas. Robust on-line computation of Reeb graphs: simplicity and speed. ACM Trans. Graph., 26(3):58, 2007.
-
(2007)
ACM Trans. Graph.
, vol.26
, Issue.3
, pp. 58
-
-
Pascucci, V.1
Scorzelli, G.2
Bremer, P.-T.3
Mascarenhas, A.4
-
22
-
-
0001647901
-
Sur les points singuliers d'une forme de Pfaff complètement intégrable ou d'une fonction numérique
-
G. Reeb. Sur les points singuliers d'une forme de Pfaff complètement intégrable ou d'une fonction numérique. Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, 222:847-849, 1946.
-
(1946)
Comptes Rendus Hebdomadaires des Séances de L'Académie des Sciences
, vol.222
, pp. 847-849
-
-
Reeb, G.1
-
23
-
-
0002165618
-
Constructing a Reeb graph automatically from cross sections
-
Y. Shinagawa and T. L. Kunii. Constructing a Reeb graph automatically from cross sections. IEEE Comput. Graph. Appl., 11(6):44-51, 1991.
-
(1991)
IEEE Comput. Graph. Appl.
, vol.11
, Issue.6
, pp. 44-51
-
-
Shinagawa, Y.1
Kunii, T.L.2
-
24
-
-
77957824323
-
Loop surgery for volumetric meshes: Reeb graphs reduced to contour trees
-
J. Tierny, A. Gyulassy, E. Simon, and V. Pascucci. Loop surgery for volumetric meshes: Reeb graphs reduced to contour trees. IEEE Trans. Vis. Comput. Graph., 15(6):1177-1184, 2009.
-
(2009)
IEEE Trans. Vis. Comput. Graph.
, vol.15
, Issue.6
, pp. 1177-1184
-
-
Tierny, J.1
Gyulassy, A.2
Simon, E.3
Pascucci, V.4
|