-
1
-
-
84969219555
-
Complexity of Delaunay triangulation for points on lower-dimensional polyhedra
-
New-Orleans, Lousiana, USA, January 7-9
-
N. Amenta, D. Attali, and O. Devillers. Complexity of Delaunay triangulation for points on lower-dimensional polyhedra. In Proc. ACM-SIAM Sympos. Discrete Algorithms (SODA'07), New-Orleans, Lousiana, USA, January 7-9 2007.
-
(2007)
Proc. ACM-SIAM Sympos. Discrete Algorithms (SODA'07)
-
-
Amenta, N.1
Attali, D.2
Devillers, O.3
-
2
-
-
0033465068
-
Surface reconstruction by Voronoi filtering
-
N. Amenta and M. Bern. Surface reconstruction by Voronoi filtering. Discrete and Computational Geometry, 22(4):481-504, 1999.
-
(1999)
Discrete and Computational Geometry
, vol.22
, Issue.4
, pp. 481-504
-
-
Amenta, N.1
Bern, M.2
-
3
-
-
0032028909
-
The Crust and the β-Skeleton: Combinatorial Curve Reconstruction
-
N. Amenta, M. Bern, and D. Eppstein. The crust and the β-skeleton: Combinatorial curve reconstruction. Graphical Models and Image Processing, 60(2):125-135, 1998. (Pubitemid 128458198)
-
(1998)
Graphical Models and Image Processing
, vol.60
, Issue.2
, pp. 125-135
-
-
Amenta, N.1
Bern, M.2
Eppstein, D.3
-
4
-
-
0000852691
-
R-regular shape reconstruction from unorganized points
-
PII S0925772198000133
-
D. Attali. r-regular shape reconstruction from unorganized points. Computational Geometry: Theory and Applications, 10:239-247, 1998. (Pubitemid 128401866)
-
(1998)
Computational Geometry: Theory and Applications
, vol.10
, Issue.4
, pp. 239-247
-
-
Attali, D.1
-
5
-
-
1842765491
-
A Linear Bound on the Complexity of the Delaunay Triangulation of Points on Polyhedral Surfaces
-
DOI 10.1007/s00454-003-2870-4
-
D. Attali and J.-D. Boissonnat. A linear bound on the complexity of the Delaunay triangulation of points on polyhedral surfaces. Discrete and Computational Geometry, 31(3):369-384, February 2004. (Pubitemid 38483687)
-
(2004)
Discrete and Computational Geometry
, vol.31
, Issue.3
, pp. 369-384
-
-
Attali, D.1
Boissonnat, J.-D.2
-
6
-
-
0037700499
-
Complexity of the Delaunay triangulation of points on surfaces: The smooth case
-
San-Diego, California, USA, June
-
D. Attali, J.-D. Boissonnat, and A. Lieutier. Complexity of the Delaunay triangulation of points on surfaces: the smooth case. In 19th ACM Symposium on Computational Geometry, pages 201-210, San-Diego, California, USA, June 2003.
-
(2003)
19th ACM Symposium on Computational Geometry
, pp. 201-210
-
-
Attali, D.1
Boissonnat, J.-D.2
Lieutier, A.3
-
7
-
-
77954914092
-
Reconstructing shapes with guarantees by unions of convex sets
-
Snowbird, Utah, June 13-16
-
D. Attali and A. Lieutier. Reconstructing shapes with guarantees by unions of convex sets. In 26th Ann. Sympos. Comput. Geom., pages 344-353, Snowbird, Utah, June 13-16 2010.
-
(2010)
26th Ann. Sympos. Comput. Geom.
, pp. 344-353
-
-
Attali, D.1
Lieutier, A.2
-
8
-
-
84868137023
-
Efficient data structure for representing and simplifying simplicial complexes in high dimension
-
June 13-15
-
D. Attali, A. Lieutier, and D. Salinas. Efficient Data Structure for Representing and Simplifying Simplicial Complexes in High Dimension. In Proc. 27th Ann. Sympos. Comput. Geom., Paris, France, June 13-15 2011.
-
(2011)
Proc. 27th Ann. Sympos. Comput. Geom., Paris, France
-
-
Attali, D.1
Lieutier, A.2
Salinas, D.3
-
10
-
-
0000956933
-
Topological methods
-
MIT Press
-
A. Bjorner. Topological methods. In Handbook of combinatorics (vol. 2), page 1850. MIT Press, 1996.
-
(1996)
Handbook of Combinatorics
, vol.2
, pp. 1850
-
-
Bjorner, A.1
-
11
-
-
31244436824
-
Smooth surface reconstruction via natural neighbour interpolation of distance functions
-
J. Boissonnat and F. Cazals. Smooth surface reconstruction via natural neighbour interpolation of distance functions. Computational Geometry: Theory and Applications, 22(1-3):185-203, 2002.
-
(2002)
Computational Geometry: Theory and Applications
, vol.22
, Issue.1-3
, pp. 185-203
-
-
Boissonnat, J.1
Cazals, F.2
-
14
-
-
77952008659
-
Vietoris-rips complexes of planar point sets
-
E. Chambers, V. de Silva, J. Erickson, and R. Ghrist. Vietoris-rips complexes of planar point sets. Discrete and Computational Geometry, pages 1-16, 2010.
-
(2010)
Discrete and Computational Geometry
, pp. 1-16
-
-
Chambers, E.1
De Silva, V.2
Erickson, J.3
Ghrist, R.4
-
15
-
-
62249220567
-
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. Discrete and Computational Geometry, 41(3):461-479, 2009.
-
(2009)
Discrete and Computational Geometry
, vol.41
, Issue.3
, pp. 461-479
-
-
Chazal, F.1
Cohen-Steiner, D.2
Lieutier, A.3
-
17
-
-
84867940824
-
Smooth manifold reconstruction from noisy and non uniform approximation with guarantees
-
F. Chazal and A. Lieutier. Smooth Manifold Reconstruction from Noisy and Non Uniform Approximation with Guarantees. Computational Geometry: Theory and Applications, 40:156-170, 2008.
-
(2008)
Computational Geometry: Theory and Applications
, vol.40
, pp. 156-170
-
-
Chazal, F.1
Lieutier, A.2
-
19
-
-
45849141951
-
A weak characterisation of the Delaunay triangulation
-
V. De Silva. A weak characterisation of the Delaunay triangulation. Geometriae Dedicata, 135(1):39-64, 2008.
-
(2008)
Geometriae Dedicata
, vol.135
, Issue.1
, pp. 39-64
-
-
De Silva, V.1
-
20
-
-
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
-
22
-
-
0002244951
-
Computational topology
-
B. Chazelle, J. E. Goodman, and R. Pollack, editors, Advances in Discrete and Computational Geometry. AMS, Providence
-
T. K. Dey, H. Edelsbrunner, and S. Guha. Computational topology. In B. Chazelle, J. E. Goodman, and R. Pollack, editors, Advances in Discrete and Computational Geometry, volume 223 of Contemporary Mathematics. AMS, Providence, 1999.
-
(1999)
Contemporary Mathematics
, vol.223
-
-
Dey, T.K.1
Edelsbrunner, H.2
Guha, S.3
-
27
-
-
0010041995
-
Critical point theory for distance functions
-
K. Grove. Critical point theory for distance functions. In Proc. of Symposia in Pure Mathematics, volume 54, pages 357-386, 1993.
-
(1993)
Proc. of Symposia in Pure Mathematics
, vol.54
, pp. 357-386
-
-
Grove, K.1
-
29
-
-
0035802862
-
Vietoris-rips complexes of metric spaces near a closed Riemannian manifold
-
J. Latschev. Vietoris-Rips complexes of metric spaces near a closed Riemannian manifold. Archiv der Mathematik, 77(6):522-528, 2001. (Pubitemid 33402794)
-
(2001)
Archiv der Mathematik
, vol.77
, Issue.6
, pp. 522-528
-
-
Latschev, J.1
-
30
-
-
2942755983
-
Any open bounded subset of Rn has the same homotopy type as its medial axis
-
A. Lieutier. Any open bounded subset of Rn has the same homotopy type as its medial axis. Computer-Aided Design, 36(11):1029-1046, 2004.
-
(2004)
Computer-Aided Design
, vol.36
, Issue.11
, pp. 1029-1046
-
-
Lieutier, A.1
-
32
-
-
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 Computational Geometry, 39(1-3):419-441, 2008.
-
(2008)
Discrete Computational Geometry
, vol.39
, Issue.1-3
, pp. 419-441
-
-
Niyogi, P.1
Smale, S.2
Weinberger, S.3
-
33
-
-
85030869395
-
Smallest enclosing disks (balls and ellipsoids)
-
In H. Maurer, editor, Springer
-
E. Welzl. Smallest enclosing disks (balls and ellipsoids). In H. Maurer, editor, New Results and New Trends in Computer Science, volume 555, pages 359-370. Springer, 1991.
-
(1991)
New Results and New Trends in Computer Science
, vol.555
, pp. 359-370
-
-
Welzl, E.1
-
34
-
-
77955270465
-
Fast construction of the Vietoris-Rips complex
-
A. Zomorodian. Fast construction of the Vietoris-Rips complex. Computers & Graphics, 2010.
-
(2010)
Computers & Graphics
-
-
Zomorodian, A.1
|