-
1
-
-
0033465068
-
Surface reconstruction by Vororioi filtering
-
N. Amenta and M. Bern. Surface reconstruction by Vororioi filtering. Discrete Comput. Geom., 22(4):481-504. 1999.
-
(1999)
Discrete Comput. Geom
, vol.22
, Issue.4
, pp. 481-504
-
-
Amenta, N.1
Bern, M.2
-
4
-
-
84976826673
-
Voronoi diagrams: A survey of a fundamental geometric data structure
-
September
-
F. Aurenhammer. Voronoi diagrams: A survey of a fundamental geometric data structure. ACM Comput. Surv., 23(3):345-405, September 1991.
-
(1991)
ACM Comput. Surv
, vol.23
, Issue.3
, pp. 345-405
-
-
Aurenhammer, F.1
-
5
-
-
46749111114
-
Inferring local homology from sampled stratified spaces
-
P. Bendich, D. Cohen-Steiner, H. Edelsbrunner. J. Harer, and D. Morozov. Inferring local homology from sampled stratified spaces. In Proc. 48th Annu. IEEE Sympos. Foundations of Computer Science, pages 536-546, 2007.
-
(2007)
Proc. 48th Annu. IEEE Sympos. Foundations of Computer Science
, pp. 536-546
-
-
Bendich, P.1
Cohen-Steiner, D.2
Edelsbrunner, H.3
Harer, J.4
Morozov, D.5
-
8
-
-
84892331864
-
Delaunay triangulation based surface reconstruction
-
J.D. Boissonnat and M. Teillaud, editors, Springer
-
F. Cazals and J. Giesen. Delaunay triangulation based surface reconstruction. In J.D. Boissonnat and M. Teillaud, editors. Effective Computational Geometry for Curves and Surfaces, pages 231-273. Springer, 2006.
-
(2006)
Effective Computational Geometry for Curves and Surfaces
, pp. 231-273
-
-
Cazals, F.1
Giesen, J.2
-
9
-
-
33748084033
-
A sampling-theory for compact sets in Euclidean space
-
F. Chazal, D. Cohen-Steiner, and A. Lieutier. A sampling-theory for compact sets in Euclidean space. In Proc, 22nd Annu. Sympos. Comput. Geom., pages 319-326, 2006.
-
(2006)
Proc, 22nd Annu. Sympos. Comput. Geom
, pp. 319-326
-
-
Chazal, F.1
Cohen-Steiner, D.2
Lieutier, A.3
-
10
-
-
18844412375
-
The λ-medial axis
-
July
-
F. Chazal and A. Lieutier. The λ-medial axis. Graphical Models, 67(4):304-331, July 2005.
-
(2005)
Graphical Models
, vol.67
, Issue.4
, pp. 304-331
-
-
Chazal, F.1
Lieutier, A.2
-
11
-
-
33748062672
-
Topology guaranteeing manifold reconstruction using distance function to noisy data
-
F. Chazal and A. Lieutier. Topology guaranteeing manifold reconstruction using distance function to noisy data. In Proc. 22nd Annu. Sympos. on Comput. Geom., pages 112-118, 2006.
-
(2006)
Proc. 22nd Annu. Sympos. on Comput. Geom
, pp. 112-118
-
-
Chazal, F.1
Lieutier, A.2
-
13
-
-
0000088136
-
Sliver exudation
-
S.-W. Cheng, T. K. Dey, H. Edelsbrunner, M. A. Facello, and S.-H. Teng. Sliver exudation. Jouimal of the ACM, 47(5):883 904, 2000.
-
(2000)
Jouimal of the ACM
, vol.47
, Issue.5
, pp. 883-904
-
-
Cheng, S.-W.1
Dey, T.K.2
Edelsbrunner, H.3
Facello, M.A.4
Teng, S.-H.5
-
16
-
-
57349166371
-
-
V, de Silva. A weak definition of Delaunay triangulation. Technical report, Stanford University, October, To appear in
-
V, de Silva. A weak definition of Delaunay triangulation. Technical report, Stanford University, October 2003. To appear in Geometriae Dedicata.
-
(2003)
Geometriae Dedicata
-
-
-
18
-
-
41849094721
-
Coverage in sensor networks via persistent homology
-
V. de Silva and R. Ghrist. Coverage in sensor networks via persistent homology. Algebraic & Geometric Topology, 7:339-358, 2007.
-
(2007)
Algebraic & Geometric Topology
, vol.7
, pp. 339-358
-
-
de Silva, V.1
Ghrist, R.2
-
19
-
-
84972498049
-
An extension of Tietze's theorem
-
J. Dugundji. An extension of Tietze's theorem. Pacific J. Math., 1:353-367, 1951.
-
(1951)
Pacific J. Math
, vol.1
, pp. 353-367
-
-
Dugundji, J.1
-
20
-
-
51249162203
-
The union of balls and its dual shape
-
H. Edelsbrunner. The union of balls and its dual shape. Discrete Comput. Georn., 13:415-440, 1995.
-
(1995)
Discrete Comput. Georn
, vol.13
, pp. 415-440
-
-
Edelsbrunner, H.1
-
23
-
-
84968469617
-
Curvature measures
-
H. Federer. Curvature measures. Trans. Amer. Math. Soc., 93:418-491, 1959.
-
(1959)
Trans. Amer. Math. Soc
, vol.93
, pp. 418-491
-
-
Federer, H.1
-
24
-
-
57349162830
-
Barcodes: The persistent topology of data
-
October
-
R Ghrist. Barcodes: The persistent topology of data. Bull. Amer. Math. Soc., October 2007.
-
(2007)
Bull. Amer. Math. Soc
-
-
Ghrist, R.1
-
25
-
-
0010041995
-
Critical point theory for distance functions
-
K. Grove. Critical point theory for distance functions. In Proc. of Symposia in Pure Mathematics, volume 54, 1993.
-
(1993)
Proc. of Symposia in Pure Mathematics
, vol.54
-
-
Grove, K.1
-
29
-
-
40349102105
-
Finding the homology of subrnanifolds with high confidence from random samples
-
to appear
-
P. Niyogi, S. Smale, and S. Weinberger. Finding the homology of subrnanifolds with high confidence from random samples. Discrete Comput. Geom., to appear.
-
Discrete Comput. Geom
-
-
Niyogi, P.1
Smale, S.2
Weinberger, S.3
-
30
-
-
57349134721
-
-
S. Y. Oudot. On the topology of the restricted Delaunay triangulation and witness complex in higher dimensions. Technical report, Stanford University, November 2006. LANL arXiv:0803.1296v1 [cs.CG], http://arxiv.org/abs/0803.1296.
-
S. Y. Oudot. On the topology of the restricted Delaunay triangulation and witness complex in higher dimensions. Technical report, Stanford University, November 2006. LANL arXiv:0803.1296v1 [cs.CG], http://arxiv.org/abs/0803.1296.
-
-
-
-
31
-
-
33244484866
-
Towards computing homology from approximations
-
V, Robins. Towards computing homology from approximations. Topology, 24:503-532, 1999.
-
(1999)
Topology
, vol.24
, pp. 503-532
-
-
Robins, V.1
-
32
-
-
0001228780
-
A new algorithm for generating all the maximal independent sets
-
S. Tsukiyama, M. Ide, H. Ariyoshi, and I. Shirakawa. A new algorithm for generating all the maximal independent sets. SIAM J. on Computing. 6:505-517, 1977.
-
(1977)
SIAM J. on Computing
, vol.6
, pp. 505-517
-
-
Tsukiyama, S.1
Ide, M.2
Ariyoshi, H.3
Shirakawa, I.4
|