-
1
-
-
0032372467
-
On levels in arrangements of lines, segments, planes, and triangles
-
P. K. AGARWAL, B. ARONOV, T. M. CHAN, AND M. SHARIR, On levels in arrangements of lines, segments, planes, and triangles, Discrete Comput. Geom., 19 (1998), pp. 315-331.
-
(1998)
Discrete Comput. Geom.
, vol.19
, pp. 315-331
-
-
Agarwal, P.K.1
Aronov, B.2
Chan, T.M.3
Sharir, M.4
-
2
-
-
0001698164
-
Constructing levels in arrangements and higher order Voronoi diagrams
-
P. K. AGARWAL, M. DE BERG, J. MATOUŠEK, AND O. SCHWARZKOPF, Constructing levels in arrangements and higher order Voronoi diagrams, SIAM J. Comput., 27 (1998), pp. 654-667.
-
(1998)
SIAM J. Comput.
, vol.27
, pp. 654-667
-
-
Agarwal, P.K.1
De Berg, M.2
Matoušek, J.3
Schwarzkopf, O.4
-
3
-
-
84958016763
-
Vertical decomposition of shallow levels in 3-dimensional arrangements and its applications
-
Vancouver, Canada
-
P. K. AGARWAL, A. EFRAT, AND M. SHARIR, Vertical decomposition of shallow levels in 3-dimensional arrangements and its applications, in Proceedings of the 11th ACM Symposium on Computational Geometry, Vancouver, Canada, 1995, pp. 39-50.
-
(1995)
Proceedings of the 11th ACM Symposium on Computational Geometry
, pp. 39-50
-
-
Agarwal, P.K.1
Efrat, A.2
Sharir, M.3
-
4
-
-
0001848776
-
Geometric range searching and its relatives
-
B. Chazelle, J. E. Goodman, and R. Pollack, eds., AMS, Providence, RI
-
P. K. AGARWAL AND J. ERICKSON, Geometric range searching and its relatives, in Advances in Discrete and Computational Geometry, B. Chazelle, J. E. Goodman, and R. Pollack, eds., AMS, Providence, RI, 1999, pp. 1-56.
-
(1999)
Advances in Discrete and Computational Geometry
, pp. 1-56
-
-
Agarwal, P.K.1
Erickson, J.2
-
5
-
-
0027641024
-
Ray shooting and parametric search
-
P. K. AGARWAL AND J. MATOUŠEK, Ray shooting and parametric search, SIAM J. Comput., 22 (1993), pp. 794-806.
-
(1993)
SIAM J. Comput.
, vol.22
, pp. 794-806
-
-
Agarwal, P.K.1
Matoušek, J.2
-
6
-
-
0000229282
-
Dynamic half-space range reporting and its applications
-
P. K. AGARWAL AND J. MATOUŠEK, Dynamic half-space range reporting and its applications, Algorithmica, 13 (1995), pp. 325-345.
-
(1995)
Algorithmica
, vol.13
, pp. 325-345
-
-
Agarwal, P.K.1
Matoušek, J.2
-
7
-
-
0001457529
-
Computing many faces in arrangements of lines and segments
-
P. K. AGARWAL, J. MATOUŠEK, AND O. SCHWARZKOPF, Computing many faces in arrangements of lines and segments, SIAM J. Comput., 27 (1998), pp. 491-505.
-
(1998)
SIAM J. Comput.
, vol.27
, pp. 491-505
-
-
Agarwal, P.K.1
Matoušek, J.2
Schwarzkopf, O.3
-
8
-
-
0001989894
-
Arrangements and their applications
-
J. Urrutia and J. Sack, eds., North-Holland, Amsterdam, to appear
-
P. K. AGARWAL AND M. SHARIR, Arrangements and their applications, in Handbook of Computational Geometry, J. Urrutia and J. Sack, eds., North-Holland, Amsterdam, to appear.
-
Handbook of Computational Geometry
-
-
Agarwal, P.K.1
Sharir, M.2
-
9
-
-
0001253834
-
A linear-time algorithm for computing the Voronoi diagram of a convex polygon
-
A. AGGARWAL, L. J. GUIBAS, J. SAXE, AND P. W. SHOR, A linear-time algorithm for computing the Voronoi diagram of a convex polygon, Discrete Comput. Geom., 4 (1989), pp. 591-604.
-
(1989)
Discrete Comput. Geom.
, vol.4
, pp. 591-604
-
-
Aggarwal, A.1
Guibas, L.J.2
Saxe, J.3
Shor, P.W.4
-
10
-
-
0025111906
-
Solving query-retrieval problems by compacting Voronoi diagrams
-
ACM, New York
-
A. AGGARWAL, M. HANSEN, AND T. LEIGHTON, Solving query-retrieval problems by compacting Voronoi diagrams, in Proceedings of the 22nd ACM Symposium on the Theory of Computing, ACM, New York, 1990, pp. 331-340.
-
(1990)
Proceedings of the 22nd ACM Symposium on the Theory of Computing
, pp. 331-340
-
-
Aggarwal, A.1
Hansen, M.2
Leighton, T.3
-
12
-
-
0038121838
-
Topological walk revisited
-
Saskatoon, Saskatchewan, Canada
-
T. ASANO AND T. TOKUYAMA, Topological walk revisited, in Proceedings of the 6th Canadian Conference on Computational Geometry, Saskatoon, Saskatchewan, Canada, 1994, pp. 1-6.
-
(1994)
Proceedings of the 6th Canadian Conference on Computational Geometry
, pp. 1-6
-
-
Asano, T.1
Tokuyama, T.2
-
13
-
-
84976826673
-
Voronoi diagrams: A survey of a fundamental geometric data structure
-
F. AURENHAMMER, Voronoi diagrams: A survey of a fundamental geometric data structure, ACM Comput. Surv., 23 (1991), pp. 345-405.
-
(1991)
ACM Comput. Surv.
, vol.23
, pp. 345-405
-
-
Aurenhammer, F.1
-
14
-
-
0038922600
-
A simple on-line randomized incremental algorithm for computing higher order Voronoi diagrams
-
F. AURENHAMMER AND O. SCHWARZKOPF, A simple on-line randomized incremental algorithm for computing higher order Voronoi diagrams, Internat. J. Comput. Geom. Appl., 2 (1992), pp. 363-381.
-
(1992)
Internat. J. Comput. Geom. Appl.
, vol.2
, pp. 363-381
-
-
Aurenhammer, F.1
Schwarzkopf, O.2
-
15
-
-
0027577336
-
A semidynamic construction of higher-order Voronoi diagrams and its randomized analysis
-
J.-D. BOISSONNAT, O. DEVILLERS, AND M. TEILLAUD, A semidynamic construction of higher-order Voronoi diagrams and its randomized analysis, Algorithmica, 9 (1993), pp. 329-356.
-
(1993)
Algorithmica
, vol.9
, pp. 329-356
-
-
Boissonnat, J.-D.1
Devillers, O.2
Teillaud, M.3
-
16
-
-
0003685912
-
A note on Euclidean near neighbor searching in the plane
-
J. L. BENTLEY AND H. A. MAURER, A note on Euclidean near neighbor searching in the plane, Inform. Process. Lett., 8 (1979), pp. 133-136.
-
(1979)
Inform. Process. Lett.
, vol.8
, pp. 133-136
-
-
Bentley, J.L.1
Maurer, H.A.2
-
17
-
-
0029325389
-
A general approach to removing degeneracies
-
I. Z. EMIRIS AND J. F. CANNY, A general approach to removing degeneracies, SIAM J. Comput., 24 (1995), pp. 650-664.
-
(1995)
SIAM J. Comput.
, vol.24
, pp. 650-664
-
-
Emiris, I.Z.1
Canny, J.F.2
-
18
-
-
0030506452
-
Output-sensitive results on convex hulls, extreme points, and related problems
-
T. M. CHAN, Output-sensitive results on convex hulls, extreme points, and related problems, Discrete Comput. Geom., 16 (1996), pp. 369-387.
-
(1996)
Discrete Comput. Geom.
, vol.16
, pp. 369-387
-
-
Chan, T.M.1
-
20
-
-
0032620721
-
Dynamic planar convex hull operations in near-logarithmic amortized time
-
IEEE Computer Society, Los Alamitos, CA
-
T. M. CHAN, Dynamic planar convex hull operations in near-logarithmic amortized time, in Proceedings of the 40th IEEE Symposium on the Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1999, pp. 92-99.
-
(1999)
Proceedings of the 40th IEEE Symposium on the Foundations of Computer Science
, pp. 92-99
-
-
Chan, T.M.1
-
22
-
-
84922451359
-
On the convex layers of a planar set
-
B. CHAZELLE, On the convex layers of a planar set, IEEE Trans. Inform. Theory, IT-31 (1985), pp. 509-517.
-
(1985)
IEEE Trans. Inform. Theory
, vol.IT-31
, pp. 509-517
-
-
Chazelle, B.1
-
23
-
-
0022767762
-
Filtering search: A new approach to query-answering
-
B. CHAZELLE, Filtering search: A new approach to query-answering, SIAM J. Comput., 15 (1986), pp. 703-724.
-
(1986)
SIAM J. Comput.
, vol.15
, pp. 703-724
-
-
Chazelle, B.1
-
24
-
-
51249162153
-
An optimal convex hull algorithm in any fixed dimension
-
B. CHAZELLE, An optimal convex hull algorithm in any fixed dimension, Discrete Comput. Geom., 10 (1993), pp. 377-409.
-
(1993)
Discrete Comput. Geom.
, vol.10
, pp. 377-409
-
-
Chazelle, B.1
-
25
-
-
0022453055
-
New upper bounds for neighbor searching
-
B. CHAZELLE, R. COLE, F. P. PREPARATA, AND C. K. YAP, New upper bounds for neighbor searching, Inform. and Control, 68 (1986), pp. 105-124.
-
(1986)
Inform. and Control
, vol.68
, pp. 105-124
-
-
Chazelle, B.1
Cole, R.2
Preparata, F.P.3
Yap, C.K.4
-
26
-
-
0023455982
-
An improved algorithm for constructing kth-order Voronoi diagrams
-
B. CHAZELLE AND H. EDELSBRUNNER, An improved algorithm for constructing kth-order Voronoi diagrams, IEEE Trans. Comput., C-36 (1987), pp. 1349-1354.
-
(1987)
IEEE Trans. Comput.
, vol.C-36
, pp. 1349-1354
-
-
Chazelle, B.1
Edelsbrunner, H.2
-
27
-
-
33244480878
-
A deterministic view of random sampling and its use in geometry
-
B. CHAZELLE AND J. FRIEDMAN, A deterministic view of random sampling and its use in geometry, Combinatorica, 10 (1990), pp. 229-249.
-
(1990)
Combinatorica
, vol.10
, pp. 229-249
-
-
Chazelle, B.1
Friedman, J.2
-
28
-
-
0021788174
-
The power of geometric duality
-
B. CHAZELLE, L. GUIBAS, AND D. T. LEE, The power of geometric duality, BIT, 25 (1985), pp. 76-90.
-
(1985)
BIT
, vol.25
, pp. 76-90
-
-
Chazelle, B.1
Guibas, L.2
Lee, D.T.3
-
29
-
-
0038522287
-
Halfspace range search: An algorithmic application of k-sets
-
B. CHAZELLE AND F. P. PREPARATA, Halfspace range search: An algorithmic application of k-sets, Discrete Comput. Geom., 1 (1986), pp. 3-93.
-
(1986)
Discrete Comput. Geom.
, vol.1
, pp. 3-93
-
-
Chazelle, B.1
Preparata, F.P.2
-
30
-
-
0037765301
-
New applications of random sampling in computational geometry
-
K. L. CLARKSON, New applications of random sampling in computational geometry, Discrete Comput. Geom., 2 (1987), pp. 195-222.
-
(1987)
Discrete Comput. Geom.
, vol.2
, pp. 195-222
-
-
Clarkson, K.L.1
-
31
-
-
0024054715
-
A randomized algorithm for closest-point queries
-
K. L. CLARKSON, A randomized algorithm for closest-point queries, SIAM J. Comput., 17 (1988), pp. 830-847.
-
(1988)
SIAM J. Comput.
, vol.17
, pp. 830-847
-
-
Clarkson, K.L.1
-
32
-
-
0001702902
-
Applications of random sampling in computational geometry II
-
K. L. CLARKSON AND P. W. SHOR, Applications of random sampling in computational geometry II, Discrete Comput. Geom., 4 (1989), pp. 387-421.
-
(1989)
Discrete Comput. Geom.
, vol.4
, pp. 387-421
-
-
Clarkson, K.L.1
Shor, P.W.2
-
33
-
-
0023288651
-
On k-hulls and related problems
-
R. COLE, M. SHARIR, AND C. K. YAP, On k-hulls and related problems, SIAM J. Comput., 16 (1987), pp. 61-77.
-
(1987)
SIAM J. Comput.
, vol.16
, pp. 61-77
-
-
Cole, R.1
Sharir, M.2
Yap, C.K.3
-
34
-
-
0032394371
-
Improved bounds on planar k-sets and k-levels
-
T. K. DEY, Improved bounds on planar k-sets and k-levels, Discrete Comput. Geom., 19 (1998), pp. 373-382.
-
(1998)
Discrete Comput. Geom.
, vol.19
, pp. 373-382
-
-
Dey, T.K.1
-
35
-
-
51249163392
-
Counting triangle crossings and halving planes
-
T. K. DEY AND H. EDELSBRUNNER, Counting triangle crossings and halving planes, Discrete Comput. Geom., 12 (1994), pp. 281-289.
-
(1994)
Discrete Comput. Geom.
, vol.12
, pp. 281-289
-
-
Dey, T.K.1
Edelsbrunner, H.2
-
36
-
-
0023013390
-
Edge-skeletons in arrangements with applications
-
H. EDELSBRUNNER, Edge-skeletons in arrangements with applications, Algorithmica, 1 (1986), pp. 93-109.
-
(1986)
Algorithmica
, vol.1
, pp. 93-109
-
-
Edelsbrunner, H.1
-
38
-
-
0025214884
-
Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms
-
H. EDELSBRUNNER AND E. P. MÜCKE, Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms, ACM Trans. on Graphics, 9 (1990), pp. 66-104.
-
(1990)
ACM Trans. on Graphics
, vol.9
, pp. 66-104
-
-
Edelsbrunner, H.1
Mücke, E.P.2
-
39
-
-
0022714544
-
Constructing arrangements of lines and hyperplanes with applications
-
H. EDELSBRUNNER, J. O'ROURKE, AND R. SEIDEL, Constructing arrangements of lines and hyperplanes with applications, SIAM J. Comput., 15 (1986), pp. 341-363.
-
(1986)
SIAM J. Comput.
, vol.15
, pp. 341-363
-
-
Edelsbrunner, H.1
O'Rourke, J.2
Seidel, R.3
-
40
-
-
0022663946
-
Constructing belts in two-dimensional arrangements with applications
-
H. EDELSBRUNNER AND E. WELZL, Constructing belts in two-dimensional arrangements with applications, SIAM J. Comput., 15 (1986), pp. 271-284.
-
(1986)
SIAM J. Comput.
, vol.15
, pp. 271-284
-
-
Edelsbrunner, H.1
Welzl, E.2
-
41
-
-
0003665492
-
Dissection graphs of planar point sets
-
J. N. Srivastava, ed., North-Holland, Amsterdam
-
P. ERDOS, L. LOVÁSZ, A. SIMMONS, AND E. STRAUS, Dissection graphs of planar point sets, in A Survey of Combinatorial Theory, J. N. Srivastava, ed., North-Holland, Amsterdam, 1973, pp. 139-154.
-
(1973)
A Survey of Combinatorial Theory
, pp. 139-154
-
-
Erdos, P.1
Lovász, L.2
Simmons, A.3
Straus, E.4
-
42
-
-
0030524699
-
An optimal algorithm for the (≤ k)-levels, with applications to separation and transversal problems
-
H. EVERETT, J.-M. ROBERT, AND M. VAN KREVELD, An optimal algorithm for the (≤ k)-levels, with applications to separation and transversal problems, Internat. J. Comput. Geom. Appl., 6 (1996), pp. 247-261.
-
(1996)
Internat. J. Comput. Geom. Appl.
, vol.6
, pp. 247-261
-
-
Everett, H.1
Robert, J.-M.2
Van Kreveld, M.3
-
43
-
-
0001798952
-
Arrangements
-
J. E. Goodman and J. O'Rourke, eds., CRC Press, Boca Raton, FL
-
D. HALPERIN, Arrangements, in Handbook of Discrete and Computational Geometry, J. E. Goodman and J. O'Rourke, eds., CRC Press, Boca Raton, FL, 1997, pp. 389-412.
-
(1997)
Handbook of Discrete and Computational Geometry
, pp. 389-412
-
-
Halperin, D.1
-
44
-
-
0033317228
-
Taking a walk in a planar arrangement
-
IEEE Computer Society, Los Alamitos, CA
-
S. HAR-PELED, Taking a walk in a planar arrangement, in Proceedings of the 40th IEEE Symposium on the Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1999, pp. 100-110.
-
(1999)
Proceedings of the 40th IEEE Symposium on the Foundations of Computer Science
, pp. 100-110
-
-
Har-Peled, S.1
-
45
-
-
0343038296
-
Finding k farthest pairs and k closest/farthest bichromatic pairs for points in the plane
-
N. KATOH AND K. IWANO, Finding k farthest pairs and k closest/farthest bichromatic pairs for points in the plane, Internat. J. Comput. Geom. Appl., 5 (1995), pp. 37-51.
-
(1995)
Internat. J. Comput. Geom. Appl.
, vol.5
, pp. 37-51
-
-
Katoh, N.1
Iwano, K.2
-
46
-
-
0020141081
-
On k-nearest neighbor Voronoi diagrams in the plane
-
D. T. LEE, On k-nearest neighbor Voronoi diagrams in the plane, IEEE Trans. Comput., C-31 (1982), pp. 478-287.
-
(1982)
IEEE Trans. Comput.
, vol.C-31
, pp. 478-1287
-
-
Lee, D.T.1
-
47
-
-
21144462806
-
Efficient partition trees
-
J. MATOUŠEK, Efficient partition trees, Discrete Comput. Geom., 8 (1992), pp. 315-334.
-
(1992)
Discrete Comput. Geom.
, vol.8
, pp. 315-334
-
-
Matoušek, J.1
-
48
-
-
0001456187
-
Reporting points in halfspaces
-
J. MATOUŠEK, Reporting points in halfspaces, Comput. Geom., 2 (1992), pp. 169-186.
-
(1992)
Comput. Geom.
, vol.2
, pp. 169-186
-
-
Matoušek, J.1
-
49
-
-
0028742542
-
Geometric range searching
-
J. MATOUŠEK, Geometric range searching, ACM Comput. Surv., 26 (1994), pp. 421-461.
-
(1994)
ACM Comput. Surv.
, vol.26
, pp. 421-461
-
-
Matoušek, J.1
-
52
-
-
51249172854
-
On levels in arrangements and Voronoi diagrams
-
K. MULMULEY, On levels in arrangements and Voronoi diagrams, Discrete Comput. Geom., 6 (1991), pp. 307-338.
-
(1991)
Discrete Comput. Geom.
, vol.6
, pp. 307-338
-
-
Mulmuley, K.1
-
54
-
-
0017453547
-
Convex hulls of finite sets of points in two and three dimensions
-
F. P. PREPARATA AND S. J. HONG, Convex hulls of finite sets of points in two and three dimensions, Commun. ACM, 20 (1977), pp. 87-93.
-
(1977)
Commun. ACM
, vol.20
, pp. 87-93
-
-
Preparata, F.P.1
Hong, S.J.2
-
56
-
-
0012577282
-
On range reporting, ray shooting, and k-level construction
-
ACM, New York
-
E. RAMOS, On range reporting, ray shooting, and k-level construction, in Proceedings of the 15th ACM Symposium on Computational Geometry, ACM, New York, 1999, pp. 390-399.
-
(1999)
Proceedings of the 15th ACM Symposium on Computational Geometry
, pp. 390-399
-
-
Ramos, E.1
-
57
-
-
85063287628
-
Closest-point problems
-
IEEE Computer Society, Los Alamitos, CA
-
M. I. SHAMOS AND D. HOEY, Closest-point problems, in Proceedings of the 16th IEEE Symposium on the Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1977, pp. 151-162.
-
(1977)
Proceedings of the 16th IEEE Symposium on the Foundations of Computer Science
, pp. 151-162
-
-
Shamos, M.I.1
Hoey, D.2
|