-
1
-
-
0003415652
-
-
Addison-Wesley, Reading, MA
-
A.V. Aho, J.E. Hopcroft, J.D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading, MA, 1974.
-
(1974)
The Design and Analysis of Computer Algorithms
-
-
Aho, A.V.1
Hopcroft, J.E.2
Ullman, J.D.3
-
3
-
-
84886804152
-
Evaluation of a new method to compute signs of determinants
-
F. Avnaim, J.-D. Boissonnat, O. Devillers, F. Preparata, M. Yvinec, Evaluation of a new method to compute signs of determinants, Proc. 11th Annu. ACM Symp. Comput. Geom., 1995, pp. C16-C17.
-
(1995)
Proc. 11th Annu. ACM Symp. Comput. Geom.
-
-
Avnaim, F.1
Boissonnat, J.-D.2
Devillers, O.3
Preparata, F.4
Yvinec, M.5
-
5
-
-
85034544010
-
-
Birkhäuser, Boston
-
D. Bini, V.Y. Pan, Polynomial and Matrix Computations, vol. 1: Fundamental Algorithms, Birkhäuser, Boston, 1994.
-
(1994)
Polynomial and Matrix Computations, Vol. 1: Fundamental Algorithms
, vol.1
-
-
Bini, D.1
Pan, V.Y.2
-
6
-
-
0346916255
-
Certified numerical computation of the sign of matrix determinant
-
D. Bini, V.Y. Pan, Y. Yu, Certified numerical computation of the sign of matrix determinant, Preliminary Report, 1997.
-
(1997)
Preliminary Report
-
-
Bini, D.1
Pan, V.Y.2
Yu, Y.3
-
7
-
-
0029767507
-
A new Euclidean division algorithm for residue number systems
-
J.-C. Bajard, L.S. Didier, J.-M. Muller, A new Euclidean division algorithm for residue number systems, Proc. ASAP, 1996, pp. 45-54.
-
(1996)
Proc. ASAP
, pp. 45-54
-
-
Bajard, J.-C.1
Didier, L.S.2
Muller, J.-M.3
-
8
-
-
0030645960
-
Computing exact geometric predicates using modular arithmetic with single precision
-
H. Brönnimann, I.Z. Emiris, V. Pan, S. Pion, Computing exact geometric predicates using modular arithmetic with single precision, Proc. ACM Symp. on Computational Geometry, 1997, pp. 174-182.
-
(1997)
Proc. ACM Symp. on Computational Geometry
, pp. 174-182
-
-
Brönnimann, H.1
Emiris, I.Z.2
Pan, V.3
Pion, S.4
-
10
-
-
24544476412
-
Efficient exact evaluation of signs of determinants
-
INRIA Sophia-Antipolis
-
H. Brönnimann, M. Yvinec, Efficient exact evaluation of signs of determinants, Research Report 3140, INRIA Sophia-Antipolis, 1997.
-
(1997)
Research Report 3140
-
-
Brönnimann, H.1
Yvinec, M.2
-
11
-
-
0040508062
-
Exact geometric computation in LEDA
-
C. Burnikel, J. Könnemann, K. Mehlhorn, S. Näher, S. Schirra, C. Uhrig, Exact geometric computation in LEDA, Proc. 11th Annu. ACM Symp. Comput. Geom., 1995, pp. C18-C19. Package available at http://www.mpi-sb.mpg.de/LEDA/leda.html.
-
(1995)
Proc. 11th Annu. ACM Symp. Comput. Geom.
-
-
Burnikel, C.1
Könnemann, J.2
Mehlhorn, K.3
Näher, S.4
Schirra, S.5
Uhrig, C.6
-
12
-
-
0347547258
-
An improved sign determination algorithm
-
H.F. Mattson, T. Mora, T.R.N. Rao (Eds.), Proc. Int. Symp. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Springer, Berlin
-
J.F. Canny, An improved sign determination algorithm, H.F. Mattson, T. Mora, T.R.N. Rao (Eds.), Proc. Int. Symp. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Lecture Notes in Computer Science, vol. 539, Springer, Berlin, pp. 108-117.
-
Lecture Notes in Computer Science
, vol.539
, pp. 108-117
-
-
Canny, J.F.1
-
14
-
-
0002355090
-
Real zeros of polynomials
-
B. Buchberger, G.E. Collins, R. Loos (Eds.), Springer, Wien
-
G.E. Collins, R. Loos, Real zeros of polynomials, in: B. Buchberger, G.E. Collins, R. Loos (Eds.), Computer Algebra: Symbolic and Algebraic Computation, 2nd ed., Springer, Wien, 1982, pp. 83-94.
-
(1982)
Computer Algebra: Symbolic and Algebraic Computation, 2nd Ed.
, pp. 83-94
-
-
Collins, G.E.1
Loos, R.2
-
15
-
-
0025214884
-
Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms
-
H. Edelsbrunner, E.P. Mücke, Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms, ACM Trans. Graphics 9(1) (1990) 67-104.
-
(1990)
ACM Trans. Graphics
, vol.9
, Issue.1
, pp. 67-104
-
-
Edelsbrunner, H.1
Mücke, E.P.2
-
16
-
-
0010080286
-
A complete implementation for computing general dimensional convex hulls
-
to appear. Preliminary version as Research Report 2551, INRIA Sophia-Antipolis, France, 1995
-
I.Z. Emiris, A complete implementation for computing general dimensional convex hulls, Int. J. Comput. Geom. Appl. (1997), to appear. Preliminary version as Research Report 2551, INRIA Sophia-Antipolis, France, 1995.
-
(1997)
Int. J. Comput. Geom. Appl.
-
-
Emiris, I.Z.1
-
17
-
-
0029325389
-
A general approach to removing degeneracies
-
I.Z. Emiris, J.F. Canny, A general approach to removing degeneracies, SIAM J. Comput. 24(3) (1995) 650-664.
-
(1995)
SIAM J. Comput.
, vol.24
, Issue.3
, pp. 650-664
-
-
Emiris, I.Z.1
Canny, J.F.2
-
18
-
-
0032119428
-
Modular arithmetic for linear algebra computations in the real field
-
to appear
-
I.Z. Emiris, V.Y. Pan, Y. Yu, Modular arithmetic for linear algebra computations in the real field, J. Symbol. Comput. (1998), to appear.
-
(1998)
J. Symbol. Comput.
-
-
Emiris, I.Z.1
Pan, V.Y.2
Yu, Y.3
-
19
-
-
0038809776
-
Numerical stability of algorithms for 2-d Delaunay triangulation, and Voronoi diagrams
-
S. Fortune, Numerical stability of algorithms for 2-d Delaunay triangulation, and Voronoi diagrams, Proc. 8th Annu. ACM Symp. Comput. Geom., 1992, pp. 83-92.
-
(1992)
Proc. 8th Annu. ACM Symp. Comput. Geom.
, pp. 83-92
-
-
Fortune, S.1
-
21
-
-
0030188659
-
Static analysis yields efficient exact integer arithmetic for computational geometry
-
S. Fortune, C.J. Van Wyk, Static analysis yields efficient exact integer arithmetic for computational geometry, ACM Trans. Graphics, 1996.
-
(1996)
ACM Trans. Graphics
-
-
Fortune, S.1
Van Wyk, C.J.2
-
22
-
-
0026122066
-
What every computer scientist should know about floating-point arithmetic
-
D. Goldberg, What every computer scientist should know about floating-point arithmetic, ACM Comput. Surv. 32(1) (1991) 5-48.
-
(1991)
ACM Comput. Surv.
, vol.32
, Issue.1
, pp. 5-48
-
-
Goldberg, D.1
-
23
-
-
0004236492
-
-
Johns Hopkins University Press, Baltimore, MD
-
G.H. Golub, C.F. van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
24
-
-
84879511883
-
How solid is solid modeling?
-
Applied Computational Geometry, Springer, Berlin
-
C.M. Hoffmann, How solid is solid modeling? Applied Computational Geometry, Lecture Notes in Computer Science, vol. 1148, Springer, Berlin, 1996, pp. 1-8.
-
(1996)
Lecture Notes in Computer Science
, vol.1148
, pp. 1-8
-
-
Hoffmann, C.M.1
-
25
-
-
0024770161
-
Robust set operations on polyhedral solids
-
C.M. Hoffmann, J.E. Hopcroft, M.T. Karasick, Robust set operations on polyhedral solids, IEEE Comput. Graph. Appl. 9(6) (1989) 50-59.
-
(1989)
IEEE Comput. Graph. Appl.
, vol.9
, Issue.6
, pp. 50-59
-
-
Hoffmann, C.M.1
Hopcroft, J.E.2
Karasick, M.T.3
-
26
-
-
38149144278
-
An approximate sign detection method for residue numbers and its application to RNS division
-
C.Y. Hung, B. Parhami, An approximate sign detection method for residue numbers and its application to RNS division, Comput. Math. Appl. 27(4) (1994) 23-35.
-
(1994)
Comput. Math. Appl.
, vol.27
, Issue.4
, pp. 23-35
-
-
Hung, C.Y.1
Parhami, B.2
-
27
-
-
0037779520
-
-
Technical Report 40, Dept. Computer Science, Univ. N. Carolina, Chapel Hill
-
J. Keyser, S. Krishnan, D. Manocha, Efficient B-rep generation of low degree sculptured solids using exact arithmetic, Technical Report 40, Dept. Computer Science, Univ. N. Carolina, Chapel Hill, 1996.
-
(1996)
Efficient B-rep Generation of low Degree Sculptured Solids Using Exact Arithmetic
-
-
Keyser, J.1
Krishnan, S.2
Manocha, D.3
-
28
-
-
0003657590
-
-
Addison-Wesley, Reading, MA
-
D.E. Knuth, The Art of Computer Programming: Seminumerical Algorithms, vol. 2, Addison-Wesley, Reading, MA, 1981 and 1997.
-
(1981)
The Art of Computer Programming: Seminumerical Algorithms
, vol.2
-
-
Knuth, D.E.1
-
29
-
-
0039259511
-
Computing by homomorphic images
-
B. Buchberger, G.E. Collins, R. Loos (Eds.), Springer, Wien
-
M. Lauer, Computing by homomorphic images, in: B. Buchberger, G.E. Collins, R. Loos (Eds.), Computer Algebra: Symbolic and Algebraic Computation, 2nd ed., Springer, Wien, 1982, pp. 139-168.
-
(1982)
Computer Algebra: Symbolic and Algebraic Computation, 2nd Ed.
, pp. 139-168
-
-
Lauer, M.1
-
30
-
-
0024765832
-
Double precision geometry: A general technique for calculating line and segment intersections using rounded arithmetic
-
V. Milenkovic, Double precision geometry: a general technique for calculating line and segment intersections using rounded arithmetic, Proc, 30th Annu. IEEE Symp. Found. Comput. Sci., 1989, pp. 500-505.
-
(1989)
Proc, 30th Annu. IEEE Symp. Found. Comput. Sci.
, pp. 500-505
-
-
Milenkovic, V.1
-
32
-
-
0030214595
-
Parallel computation of polynomial GCD and some related parallel computations over abstract fields
-
V.Y. Pan, Parallel computation of polynomial GCD and some related parallel computations over abstract fields, Theoret. Comput. Sci. 162(2) (1996) 173-223.
-
(1996)
Theoret. Comput. Sci.
, vol.162
, Issue.2
, pp. 173-223
-
-
Pan, V.Y.1
-
33
-
-
0031189411
-
Algebraic and numerical techniques for the computation of matrix determinants
-
with applications
-
V.Y. Pan, Y. Yu, C. Stewart, Algebraic and numerical techniques for the computation of matrix determinants, Comput. Math. (with applications) 34(1) (1997) 43-70.
-
(1997)
Comput. Math.
, vol.34
, Issue.1
, pp. 43-70
-
-
Pan, V.Y.1
Yu, Y.2
Stewart, C.3
-
34
-
-
30944452190
-
A complete and practical algorithm for geometric theorem proving
-
A. Rege, A complete and practical algorithm for geometric theorem proving, Proc. ACM Symp. on Computational Geometry, 1995, pp. 277-286.
-
(1995)
Proc. ACM Symp. on Computational Geometry
, pp. 277-286
-
-
Rege, A.1
-
37
-
-
0000916188
-
A robust topology-oriented incremental algorithm for Voronoi diagrams
-
K. Sugihara, M. Iri, A robust topology-oriented incremental algorithm for Voronoi diagrams, Int. J. Comput. Geom. Appl. 4 (1994) 179-228.
-
(1994)
Int. J. Comput. Geom. Appl.
, vol.4
, pp. 179-228
-
-
Sugihara, K.1
Iri, M.2
-
38
-
-
0024141611
-
Solving systems of nonlinear equations using the nonzero value of the topological degree
-
M.N. Vrahatis, Solving systems of nonlinear equations using the nonzero value of the topological degree, ACM Trans. on Math. Software 14(4) (1998) 312-329.
-
(1998)
ACM Trans. on Math. Software
, vol.14
, Issue.4
, pp. 312-329
-
-
Vrahatis, M.N.1
-
39
-
-
0002125694
-
Towards exact geometric computation
-
C. Yap, Towards exact geometric computation, Comput. Geom. Theory Appl. 7 (1997) 3-23.
-
(1997)
Comput. Geom. Theory Appl.
, vol.7
, pp. 3-23
-
-
Yap, C.1
-
40
-
-
0343729277
-
Exact computational geometry and tolerancing metrology
-
D. Avis, J. Bose (Eds.), Tech. Rep. SOCS-94.50, McGill School of Comput. Sci.
-
C.K. Yap, Exact computational geometry and tolerancing metrology, in: D. Avis, J. Bose (Eds.), Snapshots of Computational and Discrete Geometry, vol. 3, Tech. Rep. SOCS-94.50, McGill School of Comput. Sci., 1995.
-
(1995)
Snapshots of Computational and Discrete Geometry
, vol.3
-
-
Yap, C.K.1
-
41
-
-
0001119219
-
The exact computation paradigm
-
D. Du, F. Hwang (Eds.), World Scientific Press, Singapore
-
C.K. Yap, T. Dubhe, The exact computation paradigm, in: D. Du, F. Hwang (Eds.), Computing in Euclidean Geometry, World Scientific Press, Singapore, 1995.
-
(1995)
Computing in Euclidean Geometry
-
-
Yap, C.K.1
Dubhe, T.2
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