-
1
-
-
77954924604
-
Kinetic stable Delaunay graphs
-
P. K. Agarwal, J. Gao, L. Guibas, H. Kaplan, V. Koltun, N. Rubin, and M. Sharir, Kinetic stable Delaunay graphs, Proceedings of the 26th annual symposium on Computational geometry (SoCG 2010), pp. 127-136.
-
(2010)
Proceedings of the 26th Annual Symposium on Computational Geometry (SoCG)
, pp. 127-136
-
-
Agarwal, P.K.1
Gao, J.2
Guibas, L.3
Kaplan, H.4
Koltun, V.5
Rubin, N.6
Sharir, M.7
-
2
-
-
2842584672
-
Voronoi Diagrams of Moving Points
-
G. Albers, L. J. Guibas, J. S. B. Mitchell, and T. Roos, Voronoi diagrams of moving points, Internat. J. Comput. Geom. Appl 8 (1998), 365-380. (Pubitemid 128074735)
-
(1998)
International Journal of Computational Geometry and Applications
, vol.8
, Issue.3
, pp. 365-380
-
-
Albers, G.1
Guibas, L.J.2
Mitchell, J.S.B.3
Roos, T.4
-
4
-
-
49449104682
-
Zone diagrams: Existence, uniqueness, and algorithmic challenge
-
a preliminary version in SODA 2007, pp. 756-765
-
T. Asano, J. Matoušek, and T. Tokuyama, Zone diagrams: Existence, uniqueness, and algorithmic challenge, SIAM J. Comput. 37 (2007), no. 4, 1182-1198, a preliminary version in SODA 2007, pp. 756-765.
-
(2007)
SIAM J. Comput.
, vol.37
, Issue.4
, pp. 1182-1198
-
-
Asano, T.1
Matoušek, J.2
Tokuyama, T.3
-
6
-
-
49149100062
-
Stability and computation of medial axes: A state of the art report
-
(B. Hamann T. Möller and B. Russell, eds.), Springer-Verlag, Mathematics and Visualization
-
D. Attali, J-D. Boissonnat, and H. Edelsbrunner, Stability and computation of medial axes: a state of the art report, Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration (B. Hamann T. Möller and B. Russell, eds.), Springer-Verlag, Mathematics and Visualization, 2007.
-
(2007)
Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration
-
-
Attali, D.1
Boissonnat, J.-D.2
Edelsbrunner, H.3
-
7
-
-
84976826673
-
Voronoi diagrams - A survey of a fundamental geometric data structure
-
F. Aurenhammer, Voronoi diagrams - a survey of a fundamental geometric data structure, ACM Computing Surveys, vol. 3, 1991, pp. 345-405.
-
(1991)
ACM Computing Surveys
, vol.3
, pp. 345-405
-
-
Aurenhammer, F.1
-
8
-
-
0001781555
-
Voronoi diagrams
-
(J. Sack and G. Urrutia, Eds.) North-Holland, Amsterdam
-
F. Aurenhammer and R. Klein, Voronoi diagrams, Handbook of computational geometry (J. Sack and G. Urrutia, Eds.), North-Holland, Amsterdam, 2000, pp. 201-290.
-
(2000)
Handbook of Computational Geometry
, pp. 201-290
-
-
Aurenhammer, F.1
Klein, R.2
-
10
-
-
77951432719
-
Comparing Voronoi and Laguerre tessellaions in the protein-protein docking context
-
T. Bourquard, J. Bernauer, J. Azé, and A. Poupon, Comparing Voronoi and Laguerre tessellaions in the protein-protein docking context, Proceedings of the sixth international symposium on Voronoi diagrams in science and engineering (ISVD 2009), pp. 225-232.
-
(2009)
Proceedings of the Sixth International Symposium on Voronoi Diagrams in Science and Engineering (ISVD)
, pp. 225-232
-
-
Bourquard, T.1
Bernauer, J.2
Azé, J.3
Poupon, A.4
-
11
-
-
62249220567
-
A sampling theory for compact sets in Euclidean space
-
A preliminary version in SoCG 2006, pp. 319-326
-
F. Chazal, D. Cohen-Steiner, and A. Lieutier, A sampling theory for compact sets in Euclidean space, Discrete Comput. Geom. 41 (2009), 461-479, A preliminary version in SoCG 2006, pp. 319-326.
-
(2009)
Discrete Comput. Geom.
, vol.41
, pp. 461-479
-
-
Chazal, F.1
Cohen-Steiner, D.2
Lieutier, A.3
-
12
-
-
0242405872
-
Linear one-sided stability of MAT for weakly injective 3D domain
-
A preliminary version in SMA 2002, pp. 344-355
-
S.-W. Choi and H-P Seidel, Linear one-sided stability of MAT for weakly injective 3D domain, Computer-Aided Design 36 (2004), no. 2, 95-109, A preliminary version in SMA 2002 pp. 344-355.
-
(2004)
Computer-Aided Design
, vol.36
, Issue.2
, pp. 95-109
-
-
Choi, S.-W.1
Seidel, H.-P.2
-
13
-
-
84855485012
-
Uniformly convex spaces
-
J. A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), 396-414.
-
(1936)
Trans. Amer. Math. Soc.
, vol.40
, pp. 396-414
-
-
Clarkson, J.A.1
-
14
-
-
34248363967
-
Nearest-neighbor searching and metric space dimensions
-
(G. Shakhnarovich, T. Darrell, and P. Indyk, Eds.), MIT Press
-
K. L. Clarkson, Nearest-neighbor searching and metric space dimensions, Nearest-Neighbor Methods for Learning and Vision: Theory and Practice (G. Shakhnarovich, T. Darrell, and P. Indyk, Eds.), MIT Press, 2006, pp. 15-59.
-
(2006)
Nearest-Neighbor Methods for Learning and Vision: Theory and Practice
, pp. 15-59
-
-
Clarkson, K.L.1
-
15
-
-
33846839317
-
Stability of persistence diagrams
-
A preliminary version in SoCG 2005, pp. 263-271
-
D. Cohen-Steiner, H. Edelsbrunner, and J. Harer, Stability of persistence diagrams, Discrete Comput. Geom 37 (2007), no. 2, 103-120, A preliminary version in SoCG 2005 pp. 263-271.
-
(2007)
Discrete Comput. Geom
, vol.37
, Issue.2
, pp. 103-120
-
-
Cohen-Steiner, D.1
Edelsbrunner, H.2
Harer, J.3
-
16
-
-
0003643241
-
-
third ed., Springer-Verlag, New York
-
J. H. Conway and N. J. A. Sloane, Sphere packings, lattices, and groups, third ed., Springer-Verlag, New York, 1999.
-
(1999)
Sphere Packings, Lattices, and Groups
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
17
-
-
84941433641
-
Über die reduction der positiven quadratischen Formen mit drei unbestimmten ganzen zahlen
-
L. Dirichlet, Über die reduction der positiven quadratischen Formen mit drei unbestimmten ganzen zahlen., J. Reine. Angew. Math. 40 (1850), 209-227.
-
(1850)
J. Reine. Angew. Math.
, vol.40
, pp. 209-227
-
-
Dirichlet, L.1
-
18
-
-
33750271636
-
A method for creating mosaic images using Voronoi diagrams
-
Y. Dobashi, T. Haga, H. Johan, and T. Nishita, A method for creating mosaic images using Voronoi diagrams, In Proceedings of Eurographics 2002 Short Presentations (2002), 341-348.
-
(2002)
Proceedings of Eurographics 2002 Short Presentations
, pp. 341-348
-
-
Dobashi, Y.1
Haga, T.2
Johan, H.3
Nishita, T.4
-
19
-
-
0033317391
-
Centroidal Voronoi tessellations: Applications and algorithms
-
Q. Du, V. Faber, and M. Gunzburger, Centroidal Voronoi tessellations: applications and algorithms, SIAM Rev. 41 (1999), no. 4, 637-676 (electronic). (Pubitemid 30536738)
-
(1999)
SIAM Review
, vol.41
, Issue.4
, pp. 637-676
-
-
Du, Q.1
Faber, V.2
Gunzburger, M.3
-
21
-
-
0012154090
-
Numerical stability of algorithms for 2D Delaunay triangulations
-
A preliminary version in SoCG 1992, pp. 83-92
-
S. Fortune, Numerical stability of algorithms for 2D Delaunay triangulations, Internat. J. Comput. Geom. Appl. 5 (1995), no. 1-2, 193-213, A preliminary version in SoCG 1992, pp. 83-92.
-
(1995)
Internat. J. Comput. Geom. Appl.
, vol.5
, Issue.1-2
, pp. 193-213
-
-
Fortune, S.1
-
22
-
-
0003199612
-
Uniform convexity, hyperbolic geometry, and nonexpansive mappings
-
Marcel Dekker Inc., New York
-
K. Goebel and S. Reich, Uniform convexity, hyperbolic geometry, and nonexpansive mappings, Monographs and Textbooks in Pure and Applied Mathematics, vol. 83, Marcel Dekker Inc., New York, 1984.
-
(1984)
Monographs and Textbooks in Pure and Applied Mathematics
, vol.83
-
-
Goebel, K.1
Reich, S.2
-
25
-
-
34250450742
-
Continuity properties of Voronoi domains
-
H. Groemer, Continuity properties of Voronoi domains, Monatsh. Math. 75 (1971), no. 5, 423-431.
-
(1971)
Monatsh. Math.
, vol.75
, Issue.5
, pp. 423-431
-
-
Groemer, H.1
-
27
-
-
22044441063
-
A proof of the Kepler conjecture
-
T. C. Hales, A proof of the Kepler conjecture, Annals of Mathematics 162 (2005), 1065-1185, arXiv 9811078 (1998). (Pubitemid 44047882)
-
(2005)
Annals of Mathematics
, vol.162
, Issue.3
, pp. 1065-1185
-
-
Hales, T.C.1
-
28
-
-
77749246987
-
A special issue of the journal DCG devoted to the unabridged version of the proof of the Kepler conjecture (6 papers)
-
one paper is a joint work with S. P. Ferguson
-
T. C. Hales, A special issue of the journal DCG devoted to the unabridged version of the proof of the Kepler conjecture (6 papers), Discrete and Computational Geometry (DCG) 36 (2006), 1-269, one paper is a joint work with S. P. Ferguson.
-
(2006)
Discrete and Computational Geometry (DCG)
, vol.36
, pp. 1-269
-
-
Hales, T.C.1
-
31
-
-
24644489770
-
Nearest neighbors in high-dimensional spaces
-
Chapter 39, (J.E. Goodman and J. O'Rourke, Eds.) CRC Press
-
P. Indyk, Nearest neighbors in high-dimensional spaces, Chapter 39 in: Handbook of Discrete and Computational Geometry (J.E. Goodman and J. O'Rourke, Eds.), CRC Press (2004).
-
(2004)
Handbook of Discrete and Computational Geometry
-
-
Indyk, P.1
-
32
-
-
21944446764
-
Voronoi diagrams and ornamental design
-
C. Kaplan, Voronoi diagrams and ornamental design, ISAMA 1999, pp. 277-283.
-
(1999)
ISAMA
, pp. 277-283
-
-
Kaplan, C.1
-
34
-
-
24944494980
-
Visualization and analysis of protein structures using Euclidean Voronoi diagram of atoms
-
Computational Science and Its Applications - ICCSA 2005: International Conference, Proceedings
-
D.-S. Kim, D. Kim, Y. Cho, J. Ryu, C.-H. Cho, and J. Y. Park, Visualization and analysis of protein structures using Euclidean Voronoi diagram of atoms, Lecture notes in computer science 3482 (2005), 993-1002, Also appeared in ICCSA 2005. (Pubitemid 41313641)
-
(2005)
Lecture Notes in Computer Science
, vol.3482
, Issue.3
, pp. 993-1002
-
-
Kim, D.-S.1
Kim, D.2
Cho, Y.3
Ryu, J.4
Cho, C.-H.5
Park, J.Y.6
Lee, H.C.7
-
35
-
-
79960180545
-
Zone diagrams in compact subsets of uniformly convex spaces
-
accepted for publication, preliminary versions in arXiv 1002.3583, CCCG 2010
-
E. Kopecká, D. Reem, and S. Reich, Zone diagrams in compact subsets of uniformly convex spaces, Israel Journal of Mathematics, accepted for publication, preliminary versions in arXiv 1002.3583 (2010), CCCG 2010, pp. 17-20.
-
(2010)
Israel Journal of Mathematics
, pp. 17-20
-
-
Kopecká, E.1
Reem, D.2
Reich, S.3
-
36
-
-
32444450815
-
Extended Voronoi cell finite element model for multiple cohesive crack propagation in brittle materials
-
DOI 10.1002/nme.1472
-
S. Li. and S. Ghosh, Extended Voronoi cell finite element model for multiple cohesive crack propagation in brittle materials, Int. J. Numer. Meth. Eng 65 (2006), 1028-1067. (Pubitemid 43224530)
-
(2006)
International Journal for Numerical Methods in Engineering
, vol.65
, Issue.7
, pp. 1028-1067
-
-
Li, S.1
Ghosh, S.2
-
37
-
-
0002667676
-
The stability and instability of relativistic matter
-
E. H. Lieb and H.-T. Yau, The stability and instability of relativistic matter, Commun. Math. Phys. 118 (1988), 177-213.
-
(1988)
Commun. Math. Phys.
, vol.118
, pp. 177-213
-
-
Lieb, E.H.1
Yau, H.-T.2
-
39
-
-
70049086698
-
On centroidal Voronoi tessellation - Energy smoothness and fast computation
-
Article 101 (17 pages), Presented at SIGGRAPH 2010
-
Y. Liu, W. Wang, B. Lévy, F. Sun, D.-M. Yan, L. Lu, and C. Yang, On centroidal Voronoi tessellation - energy smoothness and fast computation, ACM Transactions on Graphics (TOG) 28 (2009), Article 101 (17 pages), Presented at SIGGRAPH 2010.
-
(2009)
ACM Transactions on Graphics (TOG)
, vol.28
-
-
Liu, Y.1
Wang, W.2
Lévy, B.3
Sun, F.4
Yan, D.-M.5
Lu, L.6
Yang, C.7
-
41
-
-
73549120398
-
Largest bounding box, smallest diameter, and related problems on imprecise points
-
a preliminary version in WADS 2007, LNCS, pp. 446-457
-
M. Löffler and M. van Kreveld, Largest bounding box, smallest diameter, and related problems on imprecise points, Computational Geometry: Theory and Applications 43 (2010), 419-433, a preliminary version in WADS 2007, LNCS, pp. 446-457.
-
(2010)
Computational Geometry: Theory and Applications
, vol.43
, pp. 419-433
-
-
Löffler, M.1
Van Kreveld, M.2
-
42
-
-
77958602716
-
On lattice points in n-dimensional star bodies I. existence theorems
-
K. Mahler, On lattice points in n-dimensional star bodies I. existence theorems, Proc. Roy. Soc. Lond. A 187 (1946), 151-187.
-
(1946)
Proc. Roy. Soc. Lond. A
, vol.187
, pp. 151-187
-
-
Mahler, K.1
-
44
-
-
0003760944
-
-
second ed., Wiley Series in Probability and Statistics, John Wiley & Sons Ltd., Chichester, with a foreword by D. G. Kendall
-
A. Okabe, B. Boots, K. Sugihara, and S. N. Chiu, Spatial tessellations: concepts and applications of Voronoi diagrams, second ed., Wiley Series in Probability and Statistics, John Wiley & Sons Ltd., Chichester, 2000, with a foreword by D. G. Kendall.
-
(2000)
Spatial Tessellations: Concepts and Applications of Voronoi Diagrams
-
-
Okabe, A.1
Boots, B.2
Sugihara, K.3
Chiu, S.N.4
-
45
-
-
51649162483
-
The differentiability of nonlinear semigroups in uniformly convex spaces
-
A. T. Plant, The differentiability of nonlinear semigroups in uniformly convex spaces, Israel J. Math. 38 (1981), no. 3, 257-268.
-
(1981)
Israel J. Math.
, vol.38
, Issue.3
, pp. 257-268
-
-
Plant, A.T.1
-
49
-
-
0015977588
-
The interpretation of protein structures: Total volume, group volume distributions and packing density
-
F. M. Richards, The interpretation of protein structures: total volume, group volume distributions and packing density, Journal of Molecular Biology 82 (1974), 1-14.
-
(1974)
Journal of Molecular Biology
, vol.82
, pp. 1-14
-
-
Richards, F.M.1
-
52
-
-
0003767842
-
-
Ablex Publishing Corporation, Norwood, New Jersey
-
J. T. Schwartz, M. Sharir, and J. E. Hopcroft (eds.), Planning, geometry, and complexity of robot motion, Ablex Publishing Corporation, Norwood, New Jersey, 1987.
-
(1987)
Planning, Geometry, and Complexity of Robot Motion
-
-
Schwartz, J.T.1
Sharir, M.2
Hopcroft, J.E.3
-
53
-
-
84911837213
-
Communication in the presence of noise
-
C. Shannon, Communication in the presence of noise, Proc. IRE 37 (1949), no. 1, 10-21
-
(1949)
Proc. IRE
, vol.37
, Issue.1
, pp. 10-21
-
-
Shannon, C.1
-
54
-
-
0031996528
-
-
Republished at
-
Republished at Proc. IEEE 86 (1998), no. 2, pp. 447-457.
-
(1998)
Proc. IEEE
, vol.86
, Issue.2
, pp. 447-457
-
-
-
55
-
-
58149260244
-
Correlation between particle motion and Voronoi-cell-shape fluctuations during the compaction of granular matter
-
S. Slotterback, M. Toiya, L. Goff, J. F. Douglas, and W. Losert, Correlation between particle motion and Voronoi-cell-shape fluctuations during the compaction of granular matter, Phys. Rev. Lett. 101 (2008), 258001.
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 258001
-
-
Slotterback, S.1
Toiya, M.2
Goff, L.3
Douglas, J.F.4
Losert, W.5
-
56
-
-
55549098183
-
Prospects for detecting supersymmetric dark matter in the galactic halo
-
V. Springel, S. D. M. White, C. S. Frenk, J. F. Navarro, A. Jenkins, M. Vogelsberger, J. Wang, A. Ludlow, and A. Helmi, Prospects for detecting supersymmetric dark matter in the galactic halo, Nature 456 (2008), 73-76.
-
(2008)
Nature
, vol.456
, pp. 73-76
-
-
Springel, V.1
White, S.D.M.2
Frenk, C.S.3
Navarro, J.F.4
Jenkins, A.5
Vogelsberger, M.6
Wang, J.7
Ludlow, A.8
Helmi, A.9
-
57
-
-
0347248300
-
Topology-oriented implementation - An approach to robust geometric algorithms
-
K. Sugihara, M. Iri, H. Inagaki, and T. Imai, Topology-oriented implementation - an approach to robust geometric algorithms, Algorithmica 27 (2000), 5-20.
-
(2000)
Algorithmica
, vol.27
, pp. 5-20
-
-
Sugihara, K.1
Iri, M.2
Inagaki, H.3
Imai, T.4
-
58
-
-
0031134949
-
Medical Image Databases: A Content-based Retrieval Approach
-
H. Tagare, C. C. Jaffe, and J. Duncan, Medical image databases - a content-based retrieval approach, Journal of the American Medical Informatics Association 4 (1997), 184-198. (Pubitemid 127431643)
-
(1997)
Journal of the American Medical Informatics Association
, vol.4
, Issue.3
, pp. 184-198
-
-
Tagare, H.D.1
Jaffe, C.C.2
Duncan, J.3
-
59
-
-
70149083047
-
Scaling laws between population and facility densities
-
J. Um, S.-W. Son, S.-I. Lee, H. Jeong, and B. J. Kim, Scaling laws between population and facility densities, PNAS 106 (2009), 14236-14240.
-
(2009)
PNAS
, vol.106
, pp. 14236-14240
-
-
Um, J.1
Son, S.-W.2
Lee, S.-I.3
Jeong, H.4
Kim, B.J.5
-
60
-
-
84927514013
-
Nouvelles applications des parameters continus à la theorie des formes quadratiques
-
G. Voronoi, Nouvelles applications des parameters continus à la theorie des formes quadratiques., J. Reine. Angew. Math. 134 (1908), 198-287.
-
(1908)
J. Reine. Angew. Math.
, vol.134
, pp. 198-287
-
-
Voronoi, G.1
-
61
-
-
33746992718
-
The stability of the Voronoi diagram
-
M. N. Vyalyi, E. N. Gordeyev, and S. P. Tarasov, The stability of the Voronoi diagram, Computational Mathematics and Mathematical Physics 36 (1996), 405-414.
-
(1996)
Computational Mathematics and Mathematical Physics
, vol.36
, pp. 405-414
-
-
Vyalyi, M.N.1
Gordeyev, E.N.2
Tarasov, S.P.3
-
62
-
-
66349131932
-
Understanding the spreading patterns of mobile phone viruses
-
arXiv 0906.4567 (2009)
-
P. Wang, M. Gonzalez, C. A. Hidalgo, and A.-L. Barabási, Understanding the spreading patterns of mobile phone viruses, Science 324 (2009), 1071-1076, arXiv 0906.4567 (2009).
-
(2009)
Science
, vol.324
, pp. 1071-1076
-
-
Wang, P.1
Gonzalez, M.2
Hidalgo, C.A.3
Barabási, A.-L.4
|