-
1
-
-
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
-
2
-
-
0025111906
-
Solving query-retrieval problems by compacting Voronoi diagrams
-
Association for Computing Machinery, New York
-
A. AGGARWAL, M. HANSEN, AND T. LEIGHTON, Solving query-retrieval problems by compacting Voronoi diagrams, in Proc. 22nd Annu. ACM Sympos. Theory Comput., 1990, Association for Computing Machinery, New York, pp. 331-340.
-
(1990)
Proc. 22nd Annu. ACM Sympos. Theory Comput.
, pp. 331-340
-
-
Aggarwal, A.1
Hansen, M.2
Leighton, T.3
-
3
-
-
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
-
4
-
-
0344529140
-
Evaluating Signs of Determinants Using Single-Precision Arithmetic
-
INRIA, BP93, 06902 Sophia-Antipolis, France
-
F. AVNAIM, J.-D. BOISSONNAT, O. DEVILLERS, F. PREPARATA, AND M. YVINEC, Evaluating Signs of Determinants Using Single-Precision Arithmetic, Research Report 2306, INRIA, BP93, 06902 Sophia-Antipolis, France, 1994.
-
(1994)
Research Report
, vol.2306
-
-
Avnaim, F.1
Boissonnat, J.-D.2
Devillers, O.3
Preparata, F.4
Yvinec, M.5
-
5
-
-
84976658210
-
The Mocha algorithm animation system
-
J. E. BAKER, I. F. CRUZ, G. LIOTTA, AND R. TAMASSIA, The Mocha algorithm animation system, ACM Comput. Surv., 27 (1995), pp. 568-572.
-
(1995)
ACM Comput. Surv.
, vol.27
, pp. 568-572
-
-
Baker, J.E.1
Cruz, I.F.2
Liotta, G.3
Tamassia, R.4
-
6
-
-
0029723413
-
Animating geometric algorithms over the Web
-
Association for Computing Machinery, New York
-
J. E. BAKER, I. F. CRUZ, G. LIOTTA, AND R. TAMASSIA, Animating geometric algorithms over the Web, in Proc. 12th Annu. ACM Sympos. Comput. Geom., Association for Computing Machinery, New York, 1996, pp. C3-C4.
-
(1996)
Proc. 12th Annu. ACM Sympos. Comput. Geom.
-
-
Baker, J.E.1
Cruz, I.F.2
Liotta, G.3
Tamassia, R.4
-
7
-
-
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
-
10
-
-
0040508062
-
Exact geometric computation in LEDA
-
Association for Computing Machinery, New York
-
C. BURNIKEL, J. KÖNNEMANN, K. MEHLHORN, S. NÄHER, S. SCHIRRA, AND C. UHRIG, Exact geometric computation in LEDA, in Proc. 11th Annu. ACM Sympos. Comput. Geom., Association for Computing Machinery, New York, 1995, pp. C18-C19.
-
(1995)
Proc. 11th Annu. ACM Sympos. Comput. Geom.
-
-
Burnikel, C.1
Könnemann, J.2
Mehlhorn, K.3
Näher, S.4
Schirra, S.5
Uhrig, C.6
-
11
-
-
85012242791
-
How to compute the Voronoi diagram of line segments: Theoretical and experimental results
-
2nd Annual European Symp. on Algorithms, Springer-Verlag, Berlin
-
C. BURNIKEL, K. MEHLHORN, AND S. SCHIRRA, How to compute the Voronoi diagram of line segments: Theoretical and experimental results, in 2nd Annual European Symp. on Algorithms, Lecture Notes Comput. Sci. 855, Springer-Verlag, Berlin, 1994, pp. 227-239.
-
(1994)
Lecture Notes Comput. Sci.
, vol.855
, pp. 227-239
-
-
Burnikel, C.1
Mehlhorn, K.2
Schirra, S.3
-
12
-
-
0028196201
-
On degeneracy in geometric computations
-
C. BURNIKEL, K. MEHLHORN, AND S. SCHIRRA, On degeneracy in geometric computations, in Proc. 5th ACM-SIAM Sympos. Discrete Algorithms, 1994, pp. 16-23.
-
(1994)
Proc. 5th ACM-SIAM Sympos. Discrete Algorithms
, pp. 16-23
-
-
Burnikel, C.1
Mehlhorn, K.2
Schirra, S.3
-
13
-
-
0030816964
-
A strong and easily computable separation bound for arithmetic expressions involving square roots
-
C. BURNIKEL, R. FLEISCHER, K. MEHLHORN, AND S. SCHIRRA, A strong and easily computable separation bound for arithmetic expressions involving square roots, in Proc. ACM-SIAM Symposium on Discrete Algorithms, 1997.
-
(1997)
Proc. ACM-SIAM Symposium on Discrete Algorithms
-
-
Burnikel, C.1
Fleischer, R.2
Mehlhorn, K.3
Schirra, S.4
-
14
-
-
0020495002
-
How to search in history
-
B. CHAZELLE, How to search in history, Inform. Control, 64 (1985), pp. 77-99.
-
(1985)
Inform. Control
, vol.64
, pp. 77-99
-
-
Chazelle, B.1
-
15
-
-
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. Control, 68 (1986), pp. 105-124.
-
(1986)
Inform. Control
, vol.68
, pp. 105-124
-
-
Chazelle, B.1
Cole, R.2
Preparata, F.P.3
Yap, C.K.4
-
16
-
-
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
-
17
-
-
0023010037
-
Fractional cascading: I. a data structuring technique
-
B. CHAZELLE AND L. J. GUIBAS, Fractional cascading: I. A data structuring technique, Algorithmica, 1 (1986), pp. 133-162.
-
(1986)
Algorithmica
, vol.1
, pp. 133-162
-
-
Chazelle, B.1
Guibas, L.J.2
-
18
-
-
0023010035
-
Fractional cascading: II. Applications
-
B. CHAZELLE AND L. J. GUIBAS, Fractional cascading: II. Applications, Algorithmica, 1 (1986), pp. 163-191.
-
(1986)
Algorithmica
, vol.1
, pp. 163-191
-
-
Chazelle, B.1
Guibas, L.J.2
-
19
-
-
84995448525
-
Safe and effective determinant evaluation
-
IEEE Press, Piscataway, NJ
-
K. L. CLARKSON, Safe and effective determinant evaluation, in Proc. 33rd Ann. IEEE Sympos. Found. Comput. Sci., IEEE Press, Piscataway, NJ, 1992, pp. 387-395.
-
(1992)
Proc. 33rd Ann. IEEE Sympos. Found. Comput. Sci.
, pp. 387-395
-
-
Clarkson, K.L.1
-
20
-
-
0037919141
-
Delaunay triangulations in three dimensions with finite precision arithmetic
-
T. K. DEY, K. SUGIHARA, AND C. L. BAJAJ, Delaunay triangulations in three dimensions with finite precision arithmetic, Comput. Aided Geom. Design, 9 (1992), pp. 457-470.
-
(1992)
Comput. Aided Geom. Design
, vol.9
, pp. 457-470
-
-
Dey, T.K.1
Sugihara, K.2
Bajaj, C.L.3
-
21
-
-
0026926829
-
Computational geometry and computer graphics
-
D. P. DOBKIN, Computational geometry and computer graphics, in Proc. IEEE, 80 (1992), pp. 1400-1411.
-
(1992)
Proc. IEEE
, vol.80
, pp. 1400-1411
-
-
Dobkin, D.P.1
-
22
-
-
0001520324
-
Fast detection of polyhedral intersection
-
D. P. DOBKIN AND D. G. KIRKPATRICK, Fast detection of polyhedral intersection, Theoret. Comput. Sci., 27 (1982), pp. 241-253.
-
(1982)
Theoret. Comput. Sci.
, vol.27
, pp. 241-253
-
-
Dobkin, D.P.1
Kirkpatrick, D.G.2
-
23
-
-
0024776810
-
Primitives for the manipulation of three-dimensional subdivisions
-
D. P. DOBKIN AND M. J. LASZLO, Primitives for the manipulation of three-dimensional subdivisions, Algorithmica, 4 (1989), pp. 3-32.
-
(1989)
Algorithmica
, vol.4
, pp. 3-32
-
-
Dobkin, D.P.1
Laszlo, M.J.2
-
24
-
-
0346233742
-
A new point-location algorithm and its practical efficiency: Comparison with existing algorithms
-
M. EDAHIRO, I. KOKUBO, AND T. ASANO, A new point-location algorithm and its practical efficiency: Comparison with existing algorithms, ACM Trans. Graph., 3 (1984), pp. 6-109.
-
(1984)
ACM Trans. Graph.
, vol.3
, pp. 6-109
-
-
Edahiro, M.1
Kokubo, I.2
Asano, T.3
-
25
-
-
0022711327
-
Optimal point location in a monotone subdivision
-
H. EDELSBRUNNER, L. J. GUIBAS, AND J. STOLFI, Optimal point location in a monotone subdivision, SIAM J. Comput., 15 (1986), pp. 317-340.
-
(1986)
SIAM J. Comput.
, vol.15
, pp. 317-340
-
-
Edelsbrunner, H.1
Guibas, L.J.2
Stolfi, J.3
-
26
-
-
0022101367
-
Finding extreme points in three dimensions and solving the post-office problem in the plane
-
H. EDELSBRUNNER AND H. A. MAURER, Finding extreme points in three dimensions and solving the post-office problem in the plane, Inform. Process. Lett., 21 (1985), pp. 39-47.
-
(1985)
Inform. Process. Lett.
, vol.21
, pp. 39-47
-
-
Edelsbrunner, H.1
Maurer, H.A.2
-
27
-
-
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. Graph., 9 (1990), pp. 66-104.
-
(1990)
ACM Trans. Graph.
, vol.9
, pp. 66-104
-
-
Edelsbrunner, H.1
Mücke, E.P.2
-
28
-
-
0024765831
-
Stable maintenance of point set triangulations in two dimensions
-
IEEE Press, Piscataway, NJ
-
S. FORTUNE, Stable maintenance of point set triangulations in two dimensions, in Proc. 30th Ann. IEEE Sympos. Found. Comput. Sci., IEEE Press, Piscataway, NJ, 1989, pp. 494-505.
-
(1989)
Proc. 30th Ann. IEEE Sympos. Found. Comput. Sci.
, pp. 494-505
-
-
Fortune, S.1
-
29
-
-
0012154090
-
Numerical stability of algorithms for 2-d Delaunay triangulations
-
S. FORTUNE, Numerical stability of algorithms for 2-d Delaunay triangulations, Internat. J. Comput. Geom. Appl., 5 (1995), pp. 193-213.
-
(1995)
Internat. J. Comput. Geom. Appl.
, vol.5
, pp. 193-213
-
-
Fortune, S.1
-
30
-
-
33751303513
-
Polyhedral modeling with multiprecision integer arithmetic
-
to appear
-
S. FORTUNE, Polyhedral modeling with multiprecision integer arithmetic, Comput. Aided Design, to appear.
-
Comput. Aided Design
-
-
Fortune, S.1
-
31
-
-
0027839028
-
Efficient exact arithmetic for computational geometry
-
Association for Computing Machinery, New York
-
S. FORTUNE AND C. J. VAN WYK, Efficient exact arithmetic for computational geometry, in Proc. 9th Annu. ACM Sympos. Comput. Geom., Association for Computing Machinery, New York, 1993, pp. 163-172.
-
(1993)
Proc. 9th Annu. ACM Sympos. Comput. Geom.
, pp. 163-172
-
-
Fortune, S.1
Van Wyk, C.J.2
-
32
-
-
0030188659
-
Static analysis yields efficient exact integer arithmetic for computational geometry
-
S. FORTUNE AND C. V. WYK, Static analysis yields efficient exact integer arithmetic for computational geometry, ACM Trans. Graphics, 15 (1996), pp. 223-248.
-
(1996)
ACM Trans. Graphics
, vol.15
, pp. 223-248
-
-
Fortune, S.1
Wyk, C.V.2
-
33
-
-
52449147685
-
A sweepline algorithm for Voronoi diagrams
-
S. J. FORTUNE, A sweepline algorithm for Voronoi diagrams, Algorithmica, 2 (1987), pp. 153-174.
-
(1987)
Algorithmica
, vol.2
, pp. 153-174
-
-
Fortune, S.J.1
-
34
-
-
0022910673
-
Finite-resolution computational geometry
-
IEEE Press, Piscataway, NJ
-
D. H. GREENE AND F. F. YAO, Finite-resolution computational geometry, in Proc. 27th Ann. IEEE Sympos. Found. Comput. Sci., IEEE Press, Piscataway, NJ, 1986, pp. 143-152.
-
(1986)
Proc. 27th Ann. IEEE Sympos. Found. Comput. Sci.
, pp. 143-152
-
-
Greene, D.H.1
Yao, F.F.2
-
35
-
-
52449149247
-
Randomized incremental construction of Delaunay and Voronoi diagrams
-
L. J. GUIBAS, D. E. KNUTH, AND M. SHARIR, Randomized incremental construction of Delaunay and Voronoi diagrams, Algorithmica, 7 (1992), pp. 381-413.
-
(1992)
Algorithmica
, vol.7
, pp. 381-413
-
-
Guibas, L.J.1
Knuth, D.E.2
Sharir, M.3
-
36
-
-
84935114364
-
Epsilon geometry: Building robust algorithms from imprecise computations
-
Association for Computing Machinery, New York
-
L. J. GUIBAS, D. SALESIN, AND J. STOLFI, Epsilon geometry: Building robust algorithms from imprecise computations, in Proc. 5th Ann. ACM Sympos. Comput. Geom., Association for Computing Machinery, New York, 1989, pp. 208-217.
-
(1989)
Proc. 5th Ann. ACM Sympos. Comput. Geom.
, pp. 208-217
-
-
Guibas, L.J.1
Salesin, D.2
Stolfi, J.3
-
37
-
-
84942026338
-
Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams
-
L. J. GUIBAS AND J. STOLFI, Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams, ACM Trans. Graph., 4 (1985), pp. 74-123.
-
(1985)
ACM Trans. Graph.
, vol.4
, pp. 74-123
-
-
Guibas, L.J.1
Stolfi, J.2
-
38
-
-
0024627489
-
The problems of accuracy and robustness in geometric computation
-
C. M. HOFFMANN, The problems of accuracy and robustness in geometric computation, IEEE Computer, 22 (1989), pp. 31-41.
-
(1989)
IEEE Computer
, vol.22
, pp. 31-41
-
-
Hoffmann, C.M.1
-
39
-
-
0024770161
-
Robust set operations on polyhedral solids
-
C. M. HOFFMANN, J. E. HOPCROFT, AND M. T. KARASICK, Robust set operations on polyhedral solids, IEEE Comput. Graph. Appl., 9 (1989), pp. 50-59.
-
(1989)
IEEE Comput. Graph. Appl.
, vol.9
, pp. 50-59
-
-
Hoffmann, C.M.1
Hopcroft, J.E.2
Karasick, M.T.3
-
40
-
-
0026151963
-
Construction of three-dimensional Delaunay triangulations using local transformations
-
B. JOE, Construction of three-dimensional Delaunay triangulations using local transformations, Comput. Aided Geom. Design, 8 (1991), pp. 123-142.
-
(1991)
Comput. Aided Geom. Design
, vol.8
, pp. 123-142
-
-
Joe, B.1
-
41
-
-
0025191490
-
Efficient Delaunay triangulations using rational arithmetic
-
M. KARASICK, D. LIEBER, AND L. R. NACKMAN, Efficient Delaunay triangulations using rational arithmetic, ACM Trans. Graph., 10 (1991), pp. 71-91.
-
(1991)
ACM Trans. Graph.
, vol.10
, pp. 71-91
-
-
Karasick, M.1
Lieber, D.2
Nackman, L.R.3
-
42
-
-
0002429537
-
Optimal search in planar subdivisions
-
D. G. KIRKPATRICK, Optimal search in planar subdivisions, SIAM J. Comput., 12 (1983), pp. 28-35.
-
(1983)
SIAM J. Comput.
, vol.12
, pp. 28-35
-
-
Kirkpatrick, D.G.1
-
43
-
-
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. 478-487.
-
(1982)
IEEE Trans. Comput.
, vol.C-31
, pp. 478-487
-
-
Lee, D.T.1
-
44
-
-
0000488913
-
Location of a point in a planar subdivision and its applications
-
D. T. LEE AND F. P. PREPARATA, Location of a point in a planar subdivision and its applications, SIAM J. Comput., 6 (1997), pp. 594-606.
-
(1997)
SIAM J. Comput.
, vol.6
, pp. 594-606
-
-
Lee, D.T.1
Preparata, F.P.2
-
45
-
-
0009596763
-
Robust Proximity Queries in Implicit Voronoi Diagrams
-
Center for Geometric Computing, Comput. Sci. Dept., Brown Univ., Providence, RI
-
G. LIOTTA, F. P. PREPARATA, AND R. TAMASSIA, Robust Proximity Queries in Implicit Voronoi Diagrams, Technical Report CS-96-16, Center for Geometric Computing, Comput. Sci. Dept., Brown Univ., Providence, RI, 1996.
-
(1996)
Technical Report CS-96-16
-
-
Liotta, G.1
Preparata, F.P.2
Tamassia, R.3
-
46
-
-
0029184961
-
LEDA: A platform for combinatorial and geometric computing
-
K. MEHLHORN AND S. NÄHER, LEDA: A platform for combinatorial and geometric computing, Comm. ACM, 38 (1995), pp. 96-102.
-
(1995)
Comm. ACM
, vol.38
, pp. 96-102
-
-
Mehlhorn, K.1
Näher, S.2
-
47
-
-
0029719691
-
Checking geometric programs or verification of geometric structures
-
Association for Computing Machinery, New York
-
K. MEHLHORN, S. NÄHER, T. SCHILZ, S. SCHIRRA, M. SEEL, R. SEIDEL, AND C. UHRIG, Checking geometric programs or verification of geometric structures, in Proc. 12th Ann. ACM Sympos. Comput. Geom., Association for Computing Machinery, New York, 1996, pp. 159-165.
-
(1996)
Proc. 12th Ann. ACM Sympos. Comput. Geom.
, pp. 159-165
-
-
Mehlhorn, K.1
Näher, S.2
Schilz, T.3
Schirra, S.4
Seel, M.5
Seidel, R.6
Uhrig, C.7
-
48
-
-
0024122109
-
Verifiable implementations of geometric algorithms using finite precision arithmetic
-
V. J. MILENKOVIC, Verifiable implementations of geometric algorithms using finite precision arithmetic, Artif. Intell., 37 (1988), pp. 377-401.
-
(1988)
Artif. Intell.
, vol.37
, pp. 377-401
-
-
Milenkovic, V.J.1
-
50
-
-
0003503337
-
A new approach to planar point location
-
F. P. PREPARATA, A new approach to planar point location, SIAM J. Comput., 10 (1981), pp. 473-482.
-
(1981)
SIAM J. Comput.
, vol.10
, pp. 473-482
-
-
Preparata, F.P.1
-
52
-
-
0039639471
-
Efficient point location in a convex spatial cell-complex
-
F. P. PREPARATA AND R. TAMASSIA, Efficient point location in a convex spatial cell-complex, SIAM J. Comput., 21 (1992), pp. 267-280.
-
(1992)
SIAM J. Comput.
, vol.21
, pp. 267-280
-
-
Preparata, F.P.1
Tamassia, R.2
-
53
-
-
84976669340
-
Planar point location using persistent search trees
-
N. SARNAK AND R. E. TARJAN, Planar point location using persistent search trees, Comm. ACM, 29 (1986), pp. 669-679.
-
(1986)
Comm. ACM
, vol.29
, pp. 669-679
-
-
Sarnak, N.1
Tarjan, R.E.2
-
54
-
-
0026922858
-
Construction of the Voronoi diagram for 'one million' generators in single-precision arithmetic
-
IEEE Press, Piscataway, NJ
-
K. SUGIHARA AND M. IRI, Construction of the Voronoi diagram for 'one million' generators in single-precision arithmetic, Proc. IEEE, IEEE Press, Piscataway, NJ, 80 (1992), pp. 1471-1484.
-
(1992)
Proc. IEEE
, vol.80
, pp. 1471-1484
-
-
Sugihara, K.1
Iri, M.2
-
55
-
-
0348123412
-
Topology-oriented approach to robustness and its applications to several Voronoi-diagram algorithms
-
K. SUGIHARA, Y. OOISHI, AND T. IMAI, Topology-oriented approach to robustness and its applications to several Voronoi-diagram algorithms, in Proc. 2nd Canad. Conf. Comput. Geom., 1990, pp. 36-39.
-
(1990)
Proc. 2nd Canad. Conf. Comput. Geom.
, pp. 36-39
-
-
Sugihara, K.1
Ooishi, Y.2
Imai, T.3
-
56
-
-
0003503193
-
Optimal cooperative search in fractional cascaded data structures
-
R. TAMASSIA AND J. S. VITTER, Optimal cooperative search in fractional cascaded data structures, Algorithmica, 15 (1996), pp. 154-171.
-
(1996)
Algorithmica
, vol.15
, pp. 154-171
-
-
Tamassia, R.1
Vitter, J.S.2
-
58
-
-
85000312610
-
Symbolic treatment of geometric degeneracies
-
C. K. YAP, Symbolic treatment of geometric degeneracies, J. Symbolic Comput., 10 (1990), pp. 349-370.
-
(1990)
J. Symbolic Comput.
, vol.10
, pp. 349-370
-
-
Yap, C.K.1
-
59
-
-
0002125694
-
Toward exact geometric computation
-
C. K. YAP, Toward exact geometric computation, Comput. Geom., 7 (1997), pp. 3-23.
-
(1997)
Comput. Geom.
, vol.7
, pp. 3-23
-
-
Yap, C.K.1
|