-
1
-
-
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
-
2
-
-
0029713035
-
On computing Voronoi diagrams by divide-prune-and-conquer
-
Philadelphia, PA
-
N. M. AMATO AND E. A. RAMOS, On computing Voronoi diagrams by divide-prune-and-conquer, in Proceedings of the 12th ACM Sympos. Comput. Geom., Philadelphia, PA, 1996, pp. 166-175.
-
(1996)
Proceedings of the 12th ACM Sympos. Comput. Geom.
, pp. 166-175
-
-
Amato, N.M.1
Ramos, E.A.2
-
3
-
-
0347224130
-
Deformed products and maximal shadows of polytopes
-
Report 502-1996, Technische Univesität Berlin, May 1996. B. Chazelle, J. E. Gooman, and R. Pollack, eds., American Mathematical Society, Providence, RI, full version of [4]
-
N. AMENTA AND G. ZIEGLER, Deformed products and maximal shadows of polytopes, Report 502-1996, Technische Univesität Berlin, May 1996. In Advances in Discrete and Computational Geometry, B. Chazelle, J. E. Gooman, and R. Pollack, eds., American Mathematical Society, Providence, RI, 1999, pp. 57-90 (full version of [4]).
-
(1999)
Advances in Discrete and Computational Geometry
, pp. 57-90
-
-
Amenta, N.1
Ziegler, G.2
-
4
-
-
0029719690
-
Shadows and slices of polytopes
-
Philadelphia, PA
-
N. AMENTA AND G. ZIEGLER, Shadows and slices of polytopes, in Proceedings of the 12th ACM Sympos. Comput. Geom., Philadelphia, PA, 1996, pp. 10-19.
-
(1996)
Proceedings of the 12th ACM Sympos. Comput. Geom.
, pp. 10-19
-
-
Amenta, N.1
Ziegler, G.2
-
5
-
-
0001755947
-
How good are convex hull algorithms?
-
D. AVIS, D. BREMNER, AND R. SEIDEL, How good are convex hull algorithms?, Comput. Geom. Theory Appl., 7 (1997), pp. 265-302.
-
(1997)
Comput. Geom. Theory Appl.
, vol.7
, pp. 265-302
-
-
Avis, D.1
Bremner, D.2
Seidel, R.3
-
6
-
-
34249842390
-
A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
-
D. AVIS AND K. FUKUDA, A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra, Discrete Comput. Geom., 8 (1992), pp. 295-313.
-
(1992)
Discrete Comput. Geom.
, vol.8
, pp. 295-313
-
-
Avis, D.1
Fukuda, K.2
-
9
-
-
0001387497
-
The orchard problem
-
S. A. BURR, B. GRÜNBAUM, AND N. J. A. SLOANE, The orchard problem, Geom. Dedicata, 2 (1974), pp. 397-424.
-
(1974)
Geom. Dedicata
, vol.2
, pp. 397-424
-
-
Burr, S.A.1
Grünbaum, B.2
Sloane, N.J.A.3
-
10
-
-
0030490026
-
Optimal output-sensitive convex hull algorithms in two and three dimensions
-
T. M. CHAN, Optimal output-sensitive convex hull algorithms in two and three dimensions, Discrete Comput. Geom., 16 (1996), pp. 361-368.
-
(1996)
Discrete Comput. Geom.
, vol.16
, pp. 361-368
-
-
Chan, T.M.1
-
11
-
-
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
-
12
-
-
0031522632
-
Primal dividing and dual pruning: Output-sensitive construction of 4-d polytopes and 3-d Voronoi diagrams
-
T. M. CHAN, J. SNOEYINK, AND C.-K. YAP, Primal dividing and dual pruning: Output-sensitive construction of 4-d polytopes and 3-d Voronoi diagrams, Discrete Comput. Geom., 18 (1997), pp. 433-454.
-
(1997)
Discrete Comput. Geom.
, vol.18
, pp. 433-454
-
-
Chan, T.M.1
Snoeyink, J.2
Yap, C.-K.3
-
14
-
-
0020155051
-
Some NP-complete problems in linear programming
-
R. CHANDRASEKARAN, S. N. KABADI, AND K. G. MURTY, Some NP-complete problems in linear programming, Oper. Res. Lett., 1 (1982), pp. 101-104.
-
(1982)
Oper. Res. Lett.
, vol.1
, pp. 101-104
-
-
Chandrasekaran, R.1
Kabadi, S.N.2
Murty, K.G.3
-
15
-
-
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
-
16
-
-
0040358066
-
Derandomizing an output-sensitive convex hull algorithm in three dimensions
-
B. CHAZELLE AND J. MATOUŠEK, Derandomizing an output-sensitive convex hull algorithm in three dimensions, Comput. Geom., 5 (1995), pp. 27-32.
-
(1995)
Comput. Geom.
, vol.5
, pp. 27-32
-
-
Chazelle, B.1
Matoušek, J.2
-
18
-
-
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
-
19
-
-
0020799155
-
The complexity of vertex enumeration methods
-
M. E. DYER, The complexity of vertex enumeration methods, Math. Oper. Res., 8 (1983), pp. 381-402.
-
(1983)
Math. Oper. Res.
, vol.8
, pp. 381-402
-
-
Dyer, M.E.1
-
20
-
-
51249164100
-
Two combinatorial problems in the plane
-
P. ERDOS AND G. PURDY, Two combinatorial problems in the plane, Discrete Comput. Geom., 13 (1995), pp. 441-443.
-
(1995)
Discrete Comput. Geom.
, vol.13
, pp. 441-443
-
-
Erdos, P.1
Purdy, G.2
-
21
-
-
85039802428
-
Lower bounds for linear satisfiability problems
-
Proceedings of the 6th ACM-SIAM Sympos. Discrete Algorithms, San Francisco, CA, to appear
-
J. ERICKSON, Lower bounds for linear satisfiability problems, in Proceedings of the 6th ACM-SIAM Sympos. Discrete Algorithms, San Francisco, CA, 1995, pp. 388-395. Chicago J. Theoret. Comput. Sci., to appear.
-
(1995)
Chicago J. Theoret. Comput. Sci.
, pp. 388-395
-
-
Erickson, J.1
-
22
-
-
0029723414
-
New lower bounds for convex hull problems in odd dimensions
-
Philadelphia, PA
-
J. ERICKSON, New lower bounds for convex hull problems in odd dimensions, in Proceedings of the 12th ACM Sympos. Comput. Geom., Philadelphia, PA, 1996, pp. 1-9.
-
(1996)
Proceedings of the 12th ACM Sympos. Comput. Geom.
, pp. 1-9
-
-
Erickson, J.1
-
23
-
-
51249165581
-
Better lower bounds on detecting affine and spherical degeneracies
-
J. ERICKSON AND R. SEIDEL, Better lower bounds on detecting affine and spherical degeneracies, Discrete Comput. Geom., 13 (1995), pp. 41-57.
-
(1995)
Discrete Comput. Geom.
, vol.13
, pp. 41-57
-
-
Erickson, J.1
Seidel, R.2
-
24
-
-
21744453404
-
Erratum to "Better lower bounds on detecting affine and spherical degeneracies,"
-
J. ERICKSON AND R. SEIDEL, Erratum to "Better lower bounds on detecting affine and spherical degeneracies," Discrete Comput. Geom., 18 (1997), pp. 239-240.
-
(1997)
Discrete Comput. Geom.
, vol.18
, pp. 239-240
-
-
Erickson, J.1
Seidel, R.2
-
25
-
-
84968478622
-
Arrangements of lines with a large number of triangles
-
Z. FÜREDI AND I. PALÁSTI, Arrangements of lines with a large number of triangles, Proceedings of the Amer. Math. Soc., 92 (1984), pp. 561-566.
-
(1984)
Proceedings of the Amer. Math. Soc.
, vol.92
, pp. 561-566
-
-
Füredi, Z.1
Palásti, I.2
-
27
-
-
0010833530
-
Neighborly and cyclic polytopes
-
Convexity, V. Klee, ed., Providence, RI
-
D. GALE, Neighborly and cyclic polytopes, in Convexity, V. Klee, ed., in Proceedings of the Sympos. Pure Math. VII, Amer. Math. Soc., Providence, RI, 1963, pp. 225-232.
-
(1963)
Proceedings of the Sympos. Pure Math. VII, Amer. Math. Soc.
, pp. 225-232
-
-
Gale, D.1
-
29
-
-
49649136358
-
An efficient algorithm for determining the convex hull of a finite planar set
-
R. L. GRAHAM, An efficient algorithm for determining the convex hull of a finite planar set, Inform. Process. Lett., 1 (1972), pp. 132-133.
-
(1972)
Inform. Process. Lett.
, vol.1
, pp. 132-133
-
-
Graham, R.L.1
-
30
-
-
0004291883
-
Convex Polytopes
-
John Wiley, New York, Rev. ed., V. Klee and P. Kleinschmidt, ed., Springer-Verlag, New York, in preparation
-
B. GRÜNBAUM, Convex Polytopes, John Wiley, New York, 1967. Rev. ed., V. Klee and P. Kleinschmidt, ed., Graduate Texts in Math., Springer-Verlag, New York, in preparation.
-
(1967)
Graduate Texts in Math.
-
-
Grünbaum, B.1
-
31
-
-
0003350116
-
Arrangements and Spreads
-
Amer. Math. Soc., Providence
-
B. GRÜNBAUM, Arrangements and Spreads, Regional Conf. Ser. Math. 10, Amer. Math. Soc., Providence, 1972.
-
(1972)
Regional Conf. Ser. Math.
, vol.10
-
-
Grünbaum, B.1
-
32
-
-
0038992930
-
De functionibus alternantibus earumque divisione per productum e differentiis elementorum conflatum
-
J. Reine Angew.
-
C. G. J. JACOBI, De functionibus alternantibus earumque divisione per productum e differentiis elementorum conflatum, J. Reine Angew. Mathematik, 22 (1841), pp. 360-371. Reprinted in Gesammelten Werke III, G. Reimer, Berlin, 1884.
-
(1841)
Mathematik
, vol.22
, pp. 360-371
-
-
Jacobi, C.G.J.1
-
33
-
-
0038992930
-
-
Berlin
-
C. G. J. JACOBI, De functionibus alternantibus earumque divisione per productum e differentiis elementorum conflatum, J. Reine Angew. Mathematik, 22 (1841), pp. 360-371. Reprinted in Gesammelten Werke III, G. Reimer, Berlin, 1884.
-
(1884)
Gesammelten Werke
, vol.3
-
-
Reimer, G.1
-
34
-
-
0001740155
-
On the complexity of approximating determinants in matrices
-
L. KHACHIYAN, On the complexity of approximating determinants in matrices, J. Complexity, 11 (1995), pp. 138-153.
-
(1995)
J. Complexity
, vol.11
, pp. 138-153
-
-
Khachiyan, L.1
-
35
-
-
0022663183
-
The ultimate planar convex hull algorithm?
-
D. G. KIRKPATRICK AND R. SEIDEL, The ultimate planar convex hull algorithm?, SIAM J. Comput. 15 (1986), pp. 287-299.
-
(1986)
SIAM J. Comput.
, vol.15
, pp. 287-299
-
-
Kirkpatrick, D.G.1
Seidel, R.2
-
36
-
-
0000166119
-
Linear optimization queries
-
J. MATOUŠEK, Linear optimization queries, J. Algorithms, 14 (1993), pp. 432-448.
-
(1993)
J. Algorithms
, vol.14
, pp. 432-448
-
-
Matoušek, J.1
-
38
-
-
0020845843
-
Linear programming in linear time when the dimension is fixed
-
N. MEGIDDO, Linear programming in linear time when the dimension is fixed, J. Assoc. Comput. Mach., 31 (1984), pp. 114-127.
-
(1984)
J. Assoc. Comput. Mach.
, vol.31
, pp. 114-127
-
-
Megiddo, N.1
-
39
-
-
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
-
40
-
-
0027002217
-
Degenerate convex hulls in high dimensions without extra storage
-
Berlin, Germany
-
G. ROTE, Degenerate convex hulls in high dimensions without extra storage, in Proceedings of the 8th ACM Sympos. Comput. Geom., Berlin, Germany, 1992, pp. 26-32.
-
(1992)
Proceedings of the 8th ACM Sympos. Comput. Geom.
, pp. 26-32
-
-
Rote, G.1
-
41
-
-
0003417051
-
-
thesis, Berlin, 1901. Reprinted in Gesammelte Abhandlungen, Springer
-
I. SCHUR, Über eine Klasse von Matrizen, die sich einer gegebenen Matrix zuordnen lassen, thesis, Berlin, 1901. Reprinted in Gesammelte Abhandlungen, Springer, 1973.
-
(1973)
Über Eine Klasse Von Matrizen, die Sich Einer Gegebenen Matrix Zuordnen Lassen
-
-
Schur, I.1
-
42
-
-
0003501748
-
-
M.S. thesis, Dept. Comput. Sci., Univ. British Columbia, Vancouver, BC
-
R. SEIDEL, A convex hull algorithm optimal for point sets in even dimensions, M.S. thesis, Dept. Comput. Sci., Univ. British Columbia, Vancouver, BC, 1981.
-
(1981)
A Convex Hull Algorithm Optimal for Point Sets in even Dimensions
-
-
Seidel, R.1
-
43
-
-
85012739167
-
A method for proving lower bounds for certain geometric problems
-
G. T. Toussaint, ed., North-Holland, Amsterdam
-
R. SEIDEL, A method for proving lower bounds for certain geometric problems, in Computational Geometry, G. T. Toussaint, ed., North-Holland, Amsterdam, 1985, pp. 319-334.
-
(1985)
Computational Geometry
, pp. 319-334
-
-
Seidel, R.1
-
44
-
-
0002035316
-
Constructing higher-dimensional convex hulls at logarithmic cost per face
-
Berkeley, CA
-
R. SEIDEL, Constructing higher-dimensional convex hulls at logarithmic cost per face, in Proceedings of the 18th ACM Sympos. Theory Comput., Berkeley, CA, 1986, pp. 404-413.
-
(1986)
Proceedings of the 18th ACM Sympos. Theory Comput.
, pp. 404-413
-
-
Seidel, R.1
-
45
-
-
51249172581
-
Small-dimensional linear programming and convex hulls made easy
-
R. SEIDEL, Small-dimensional linear programming and convex hulls made easy, Discrete Comput. Geom., 6 (1991), pp. 423-434.
-
(1991)
Discrete Comput. Geom.
, vol.6
, pp. 423-434
-
-
Seidel, R.1
-
46
-
-
0003530642
-
Convex hull computations
-
J. E. Goodman and J. O'Rourke, eds., CRC Press LLC, Boca Raton, FL
-
R. SEIDEL, Convex hull computations, in Handbook of Discrete and Computational Geometry, J. E. Goodman and J. O'Rourke, eds., CRC Press LLC, Boca Raton, FL, 1997, pp. 361-376.
-
(1997)
Handbook of Discrete and Computational Geometry
, pp. 361-376
-
-
Seidel, R.1
-
48
-
-
0002448492
-
Finding the convex hull facet by facet
-
G. F. SWART, Finding the convex hull facet by facet, J. Algorithms, 6 (1985), pp. 17-48.
-
(1985)
J. Algorithms
, vol.6
, pp. 17-48
-
-
Swart, G.F.1
-
49
-
-
0019625307
-
A lower bound to finding convex hulls
-
A. C. YAO, A lower bound to finding convex hulls, J. Assoc. Comput. Mach., 28 (1981), pp. 780-787.
-
(1981)
J. Assoc. Comput. Mach.
, vol.28
, pp. 780-787
-
-
Yao, A.C.1
-
50
-
-
0004159676
-
-
Graduate Texts in Math. 152, Springer-Verlag, New York
-
G. M. ZIEGLER, Lectures on Polytopes, Graduate Texts in Math. 152, Springer-Verlag, New York, 1994.
-
(1994)
Lectures on Polytopes
-
-
Ziegler, G.M.1
|