-
2
-
-
0036367548
-
Pseudo approximation algorithms, with applications to optimal motion planning
-
Barcelona, Spain, 2002, ACM Press Special Conference Issue of J. Discrete Comp. Geom.
-
T. Asano, D. Kirkpatrick, C. Yap, Pseudo approximation algorithms, with applications to optimal motion planning, in: 18th ACM Symp. on Comp. Geometry, Barcelona, Spain, 2002, ACM Press,pp. 170-178, 2002 (Special Conference Issue of J. Discrete Comp. Geom.)
-
(2002)
18th ACM Symp. on Comp. Geometry
, pp. 170-178
-
-
Asano, T.1
Kirkpatrick, D.2
Yap, C.3
-
3
-
-
84938090031
-
A computational basis for conic arcs and boolean operations on conic polygons
-
Lecture Notes in CS
-
E. Berberich, A. Eigenwillig, M. Hemmer, S. Hert, K.M und E. Schmer, A computational basis for conic arcs and boolean operations on conic polygons, in: 10th European Symposium on Algorithms (ESA'02), Lecture Notes in CS, No. 2461, 2002, pp. 174-186
-
(2002)
10th European Symposium on Algorithms (ESA'02)
, vol.2461
, pp. 174-186
-
-
Berberich, E.1
Eigenwillig, A.2
Hemmer, M.3
Hert, S.4
Und Schmer, E.K.M.5
-
4
-
-
0026384505
-
Computing sums of radicals in polynomial time
-
J. Blömer Computing sums of radicals in polynomial time IEEE Foundations Comput. Sci. 32 1991 670 677
-
(1991)
IEEE Foundations Comput. Sci.
, vol.32
, pp. 670-677
-
-
Blömer, J.1
-
5
-
-
84896775962
-
A probabilistic zero-test for expressions involving roots of rational numbers
-
LNCS 1461
-
J. Blömer, A probabilistic zero-test for expressions involving roots of rational numbers, in: Proc. Sixth Annual European Symp. Algorithms, LNCS 1461, 1998, pp. 151-162
-
(1998)
Proc. Sixth Annual European Symp. Algorithms
, pp. 151-162
-
-
Blömer, J.1
-
6
-
-
4244133681
-
-
Ph.D. Thesis, Free University Berlin, Department of Mathematics, October
-
J. Blömer, Simplifying Expressions Involving Radicals, Ph.D. Thesis, Free University Berlin, Department of Mathematics, October 1992
-
(1992)
Simplifying Expressions Involving Radicals
-
-
Blömer, J.1
-
8
-
-
0029214558
-
Designing programs that check their work
-
M. Blum, and S. Kannan Designing programs that check their work J. ACM 42 1 1995 269 291
-
(1995)
J. ACM
, vol.42
, Issue.1
, pp. 269-291
-
-
Blum, M.1
Kannan, S.2
-
9
-
-
0000619172
-
Self-testing and self-correcting programs, with applications to numerical programs
-
M. Blum, M. Luby, and R. Rubinfeld Self-testing and self-correcting programs, with applications to numerical programs J. Computer System Sci. 47 1993 549 595
-
(1993)
J. Computer System Sci.
, vol.47
, pp. 549-595
-
-
Blum, M.1
Luby, M.2
Rubinfeld, R.3
-
10
-
-
17644415171
-
-
Academic Press Boston-San Diego-New York
-
G. Bohlender, C. Ullrich, J.W. von Gudenberg, and L.B. Rall Pascal-SC, Perspectives in Computing, vol. 17 1990 Academic Press Boston-San Diego-New York
-
(1990)
Pascal-SC, Perspectives in Computing
, vol.17
-
-
Bohlender, G.1
Ullrich, C.2
Von Gudenberg, J.W.3
Rall, L.B.4
-
12
-
-
0005422241
-
Interval arithmetic yields efficient dynamic filters for computational geometry
-
H. Brönnimann, C. Burnikel, and S. Pion Interval arithmetic yields efficient dynamic filters for computational geometry Discrete Appl. Math. 109 2001 25 47
-
(2001)
Discrete Appl. Math.
, vol.109
, pp. 25-47
-
-
Brönnimann, H.1
Burnikel, C.2
Pion, S.3
-
14
-
-
0001338461
-
Exact geometric computation made easy
-
C. Burnikel, R. Fleischer, K. Mehlhorn, S. Schirra, Exact geometric computation made easy, in: Proc. 15th ACM Symp. Comp. Geom., 1999
-
(1999)
Proc. 15th ACM Symp. Comp. Geom.
-
-
Burnikel, C.1
Fleischer, R.2
Mehlhorn, K.3
Schirra, S.4
-
15
-
-
0012101574
-
A strong and easily computable separation bound for arithmetic expressions involving radicals
-
C. Burnikel, R. Fleischer, K. Mehlhorn, and S. Schirra A strong and easily computable separation bound for arithmetic expressions involving radicals Algorithmica 27 2000 87 99
-
(2000)
Algorithmica
, vol.27
, pp. 87-99
-
-
Burnikel, C.1
Fleischer, R.2
Mehlhorn, K.3
Schirra, S.4
-
16
-
-
84943272604
-
A separation bound for real algebraic expressions
-
C. Burnikel, S. Funke, K. Mehlhorn, S. Schirra, S. Schmitt, A separation bound for real algebraic expressions, in: Lecture Notes in Computer Science, 2001, pp. 254-265
-
(2001)
Lecture Notes in Computer Science
, pp. 254-265
-
-
Burnikel, C.1
Funke, S.2
Mehlhorn, K.3
Schirra, S.4
Schmitt, S.5
-
17
-
-
0035591185
-
Exact geometric computation using cascading
-
C. Burnikel, S. Funke, and M. Seel Exact geometric computation using cascading IJCGA (Special issue) 11 3 2001 245 266
-
(2001)
IJCGA (Special Issue)
, vol.11
, Issue.3
, pp. 245-266
-
-
Burnikel, C.1
Funke, S.2
Seel, M.3
-
18
-
-
0003767840
-
The complexity of robot motion planning
-
Ph.D. Thesis, M.I.T., The MIT Press
-
J.F. Canny, The complexity of robot motion planning, ACM Doctoral Dissertation Award Series, Ph.D. Thesis, M.I.T., The MIT Press, 1988
-
(1988)
ACM Doctoral Dissertation Award Series
-
-
Canny, J.F.1
-
19
-
-
84888229792
-
Some algebraic and geometric configurations in PSPACE
-
J.F. Canny, Some algebraic and geometric configurations in PSPACE, in: Proc. 20th Annual ACM Symp. Theory Comput., 1988, pp. 460-467
-
(1988)
Proc. 20th Annual ACM Symp. Theory Comput.
, pp. 460-467
-
-
Canny, J.F.1
-
20
-
-
0010464476
-
Application challenges to computational geometry
-
AMS The Computational Geometry Impact Task Force Report (1996)
-
B. Chazelle et al., Application challenges to computational geometry, in: Advances in Discrete and Computational Geometry, Contemporary Mathematics, vol. 223, AMS, 1999, pp. 407-463. The Computational Geometry Impact Task Force Report (1996)
-
(1999)
Advances in Discrete and Computational Geometry, Contemporary Mathematics
, vol.223
, pp. 407-463
-
-
Chazelle, B.1
-
21
-
-
0012032513
-
Level-index arithmetic: An introductory survey
-
P. Turner, Numerical Analysis and Parallel Processing, Springer-Verlag
-
C. Clenshaw, F. Olver, and P. Turner Level-index arithmetic: an introductory survey P. Turner Numerical Analysis and Parallel Processing Lecture Notes in Mathematics vol. 1397 1987 Springer-Verlag 95 168
-
(1987)
Lecture Notes in Mathematics
, vol.1397
, pp. 95-168
-
-
Clenshaw, C.1
Olver, F.2
Turner, P.3
-
23
-
-
4544350846
-
Efficient exact geometric predicates for Delaunay triangulations
-
January
-
O. Devillers, S. Pion, Efficient exact geometric predicates for Delaunay triangulations, in: Proc. 5th Workshop Algorithm Eng. Exper., January 2003, pp. 37-44
-
(2003)
Proc. 5th Workshop Algorithm Eng. Exper.
, pp. 37-44
-
-
Devillers, O.1
Pion, S.2
-
24
-
-
0032286920
-
A probabilistic analysis of the power of arithmetic filters
-
O. Devillers, and F.P. Preparata A probabilistic analysis of the power of arithmetic filters Discrete Comput. Geom. 20 1998 523 547
-
(1998)
Discrete Comput. Geom.
, vol.20
, pp. 523-547
-
-
Devillers, O.1
Preparata, F.P.2
-
25
-
-
85058202653
-
Hypergeometric functions in exact geometric computation
-
V. Brattka, M. Schoeder, K. Weihrauch (Eds.) Malaga, Spain, July 12-13
-
Z. Du, M. Eleftheriou, J. Moreira, C. Yap, Hypergeometric functions in exact geometric computation, in: V. Brattka, M. Schoeder, K. Weihrauch (Eds.), Proc. 5th Workshop on Computability and Complexity in Analysis, 2002, Malaga, Spain, July 12-13, 2002, pp. 55-66. in: Electronic Notes in Theoretical Computer Science 66:1 (2002). http://www.elsevier.nl/locate/entcs/volume66.html
-
(2002)
Proc. 5th Workshop on Computability and Complexity in Analysis, 2002
, pp. 55-66
-
-
Du, Z.1
Eleftheriou, M.2
Moreira, J.3
Yap, C.4
-
26
-
-
84858568350
-
-
Z. Du, M. Eleftheriou, J. Moreira, C. Yap, Hypergeometric functions in exact geometric computation, in: V. Brattka, M. Schoeder, K. Weihrauch (Eds.), Proc. 5th Workshop on Computability and Complexity in Analysis, 2002, Malaga, Spain, July 12-13, 2002, pp. 55-66. in: Electronic Notes in Theoretical Computer Science 66:1 (2002). http://www.elsevier.nl/locate/entcs/volume66.html
-
(2002)
Electronic Notes in Theoretical Computer Science
, vol.66
, pp. 1
-
-
-
29
-
-
4544299196
-
Towards an open curved kernel
-
ACM Press, New York
-
I.Z. Emiris, A.V. Kakargias, S. Pion, M. Teillaud, E.P. Tsigaridas, Towards an open curved kernel, in: Proc. 20th Annual ACM Symp. Comput. Geom., ACM Press, New York, 2004, pp. 438-446
-
(2004)
Proc. 20th Annual ACM Symp. Comput. Geom.
, pp. 438-446
-
-
Emiris, I.Z.1
Kakargias, A.V.2
Pion, S.3
Teillaud, M.4
Tsigaridas, E.P.5
-
30
-
-
0343830486
-
Computational geometry and software engineering: Towards a geometric computing environment
-
D.F. Rogers R.A. Earnshaw Springer-Verlag
-
A.R. Forrest Computational geometry and software engineering: towards a geometric computing environment D.F. Rogers R.A. Earnshaw Techniques for Computer Graphics 1987 Springer-Verlag 23 37
-
(1987)
Techniques for Computer Graphics
, pp. 23-37
-
-
Forrest, A.R.1
-
32
-
-
0024765831
-
Stable maintenance of point-set triangulations in two dimensions
-
S.J. Fortune Stable maintenance of point-set triangulations in two dimensions IEEE Foundations Computer Sci. 30 1989 494 499
-
(1989)
IEEE Foundations Computer Sci.
, vol.30
, pp. 494-499
-
-
Fortune, S.J.1
-
34
-
-
0030188659
-
Static analysis yields efficient exact integer arithmetic for computational geometry
-
S.J. Fortune, and C.J. van Wyk Static analysis yields efficient exact integer arithmetic for computational geometry ACM Trans. Graphics 15 3 1996 223 248
-
(1996)
ACM Trans. Graphics
, vol.15
, Issue.3
, pp. 223-248
-
-
Fortune, S.J.1
Van Wyk, C.J.2
-
35
-
-
0346864061
-
-
Master's Thesis, Max Planck Institute for Computer Science, Saarbrücken, Germany
-
S. Funke, Exact arithmetic using cascaded computation, Master's Thesis, Max Planck Institute for Computer Science, Saarbrücken, Germany, 1997
-
(1997)
Exact Arithmetic Using Cascaded Computation
-
-
Funke, S.1
-
37
-
-
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. Surveys 23 1 1991 5 48
-
(1991)
ACM Comput. Surveys
, vol.23
, Issue.1
, pp. 5-48
-
-
Goldberg, D.1
-
39
-
-
0030644880
-
Snap rounding line segments efficiently in two and three dimensions
-
M. Goodrich, L. Guibas, J. Hershberger, P. Tanenbaum, Snap rounding line segments efficiently in two and three dimensions, in: Proc. 13th ACM Symp. Computational Geom., 1997, pp. 284-293
-
(1997)
Proc. 13th ACM Symp. Computational Geom.
, pp. 284-293
-
-
Goodrich, M.1
Guibas, L.2
Hershberger, J.3
Tanenbaum, P.4
-
40
-
-
17644387014
-
A survey of exact arithmetic implementations
-
J. Blank, V. Brattka, P. Hertling (Eds.) Springer 4th International Workshop, CCA 2000, Swansea, UK, September 17-19, 2000, Selected Papers, Lecture Notes in Computer Science, No. 2064
-
P. Gowland, D. Lester, A survey of exact arithmetic implementations, In: J. Blank, V. Brattka, P. Hertling (Eds.), Computability and Complexity in Analysis, Springer, 2000, pp. 30-47. 4th International Workshop, CCA 2000, Swansea, UK, September 17-19, 2000, Selected Papers, Lecture Notes in Computer Science, No. 2064
-
(2000)
Computability and Complexity in Analysis
, pp. 30-47
-
-
Gowland, P.1
Lester, D.2
-
43
-
-
84935114364
-
Epsilon geometry: Building robust algorithms from imprecise computations
-
L. Guibas, D. Salesin, and J. Stolfi Epsilon geometry: building robust algorithms from imprecise computations ACM Symp. Comp. Geom. 5 1989 208 217
-
(1989)
ACM Symp. Comp. Geom.
, vol.5
, pp. 208-217
-
-
Guibas, L.1
Salesin, D.2
Stolfi, J.3
-
44
-
-
0012075052
-
Practical segment intersection with finite precision output
-
J.D. Hobby Practical segment intersection with finite precision output Comput. Geom. Theory Appl. 13 4 1999 199 214
-
(1999)
Comput. Geom. Theory Appl.
, vol.13
, Issue.4
, pp. 199-214
-
-
Hobby, J.D.1
-
46
-
-
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 3 1989 31 40
-
(1989)
IEEE Computer
, vol.22
, Issue.3
, pp. 31-40
-
-
Hoffmann, C.M.1
-
47
-
-
84860936439
-
-
Computational Geometry Algorithms Library (CGAL) Project
-
The CGAL Homepage, Computational Geometry Algorithms Library (CGAL) Project. URL http://www.cgal.org/
-
The CGAL Homepage
-
-
-
50
-
-
0025554086
-
Simplifying nested radicals and solving polynomials by radicals in minimum depth
-
G. Horng, M.D. Huang, Simplifying nested radicals and solving polynomials by radicals in minimum depth, in: Proc. 31st Symp. Foundations of Computer Science, 1990, pp. 847-854
-
(1990)
Proc. 31st Symp. Foundations of Computer Science
, pp. 847-854
-
-
Horng, G.1
Huang, M.D.2
-
52
-
-
0032641817
-
A Core Library for robust numeric and geometric computation
-
June
-
V. Karamcheti, C. Li, I. Pechtchanski, C. Yap, A Core Library for robust numeric and geometric computation, in: Proc. 15th ACM Symp. Comput. Geometry, June 1999, pp. 351-359
-
(1999)
Proc. 15th ACM Symp. Comput. Geometry
, pp. 351-359
-
-
Karamcheti, V.1
Li, C.2
Pechtchanski, I.3
Yap, C.4
-
53
-
-
0025191490
-
Efficient Delaunay triangulation using rational arithmetic
-
M. Karasick, D. Lieber, and L.R. Nackman Efficient Delaunay triangulation using rational arithmetic ACM Trans. Graphics 10 1991 71 91
-
(1991)
ACM Trans. Graphics
, vol.10
, pp. 71-91
-
-
Karasick, M.1
Lieber, D.2
Nackman, L.R.3
-
55
-
-
17644399980
-
One sided error predicates in geometric computing
-
K. Mehlhorn (Ed.)
-
L. Kettner, E. Welzl, One sided error predicates in geometric computing, in: K. Mehlhorn (Ed.), Proc. 15th IFIP World Computer Congress, Fundamentals-Foundations of Computer Science, 1998, pp. 13-26
-
(1998)
Proc. 15th IFIP World Computer Congress, Fundamentals-foundations of Computer Science
, pp. 13-26
-
-
Kettner, L.1
Welzl, E.2
-
56
-
-
0026819850
-
Simplification of nested radicals
-
S. Landau Simplification of nested radicals SIAM J. Comput. 21 1 1992 85 110
-
(1992)
SIAM J. Comput.
, vol.21
, Issue.1
, pp. 85-110
-
-
Landau, S.1
-
57
-
-
0037858188
-
-
Ph.D. Thesis, Department of Computer Science, New York University, January
-
C. Li, Exact Geometric Computation: Theory and Applications, Ph.D. Thesis, Department of Computer Science, New York University, January 2001. Download http://cs.nyu.edu/exact/doc/
-
(2001)
Exact Geometric Computation: Theory and Applications
-
-
Li, C.1
-
61
-
-
0019759741
-
An overflow/underflow-free floating-point representation of numbers
-
S. Matsui, and M. Iri An overflow/underflow-free floating-point representation of numbers J. Inform. Process. 4 3 1981 123 133
-
(1981)
J. Inform. Process.
, vol.4
, Issue.3
, pp. 123-133
-
-
Matsui, S.1
Iri, M.2
-
62
-
-
0029719691
-
Checking geometric programs or verification of geometric structures
-
May
-
K. Mehlhorn, S. Näher, T. Schilz, R. Seidel, M. Seel, C. Uhrig, Checking geometric programs or verification of geometric structures, in: Proc. 12th ACM Symp. Computational Geom., Association for Computing Machinery, May 1996, pp. 159-165
-
(1996)
Proc. 12th ACM Symp. Computational Geom., Association for Computing Machinery
, pp. 159-165
-
-
Mehlhorn, K.1
Näher, S.2
Schilz, T.3
Seidel, R.4
Seel, M.5
Uhrig, C.6
-
64
-
-
0025135647
-
Finding compact coordinate representations for polygons and polyhedra
-
V. Milenkovic, and L. Nackman Finding compact coordinate representations for polygons and polyhedra ACM Symp. Comp. Geom. 6 1990 244 252
-
(1990)
ACM Symp. Comp. Geom.
, vol.6
, pp. 244-252
-
-
Milenkovic, V.1
Nackman, L.2
-
65
-
-
0024122109
-
Verifiable implementations of geometric algorithms using finite precision arithmetic
-
V.J. Milenkovic Verifiable implementations of geometric algorithms using finite precision arithmetic Artificial Intelligence 37 1988 377 401
-
(1988)
Artificial Intelligence
, vol.37
, pp. 377-401
-
-
Milenkovic, V.J.1
-
66
-
-
0004293209
-
-
Prentice Hall Englewood Cliffs, NJ
-
R.E. Moore Interval Analysis 1966 Prentice Hall Englewood Cliffs, NJ
-
(1966)
Interval Analysis
-
-
Moore, R.E.1
-
68
-
-
0034782594
-
Automatic generation of staged geometric predicates
-
Florence, Italy Also Carnegie Mellon CS Tech Report CMU-CS-01-141
-
A. Nanevski, G. Blelloch, R. Harper, Automatic generation of staged geometric predicates, in: International Conference on Functional Programming, Florence, Italy, 2001. Also Carnegie Mellon CS Tech Report CMU-CS-01-141
-
(2001)
International Conference on Functional Programming
-
-
Nanevski, A.1
Blelloch, G.2
Harper, R.3
-
70
-
-
85024222972
-
Numerical stability of geometric algorithms
-
T. Ottmann, G. Thiemt, C. Ullrich, Numerical stability of geometric algorithms, in: Proc. 3rd ACM Symp. Comput. Geom., 1987, pp. 119-125
-
(1987)
Proc. 3rd ACM Symp. Comput. Geom.
, pp. 119-125
-
-
Ottmann, T.1
Thiemt, G.2
Ullrich, C.3
-
71
-
-
0344097793
-
-
Master's Thesis, New York University, Department of Computer Science, Courant Institute, January
-
K. Ouchi, Real/Expr: Implementation of an Exact Computation Package, Master's Thesis, New York University, Department of Computer Science, Courant Institute, January 1997. URL http://www.cs.nyu.edu/exact/doc/
-
(1997)
Real/Expr: Implementation of An Exact Computation Package
-
-
Ouchi, K.1
-
72
-
-
0012093747
-
Certification of numerical computation of the sign of the determinant of a matrix
-
V.Y. Pan, and Y. Yu Certification of numerical computation of the sign of the determinant of a matrix Algorithmica 2001 708 724
-
(2001)
Algorithmica
, pp. 708-724
-
-
Pan, V.Y.1
Yu, Y.2
-
73
-
-
17644401168
-
Towards robust geometric modellers, 1994 progress report
-
N.M. Patrikalakis, W. Cho, C.-Y. Hu, T. Maekawa, E.C. Sherbrooke, J. Zhou, Towards robust geometric modellers, 1994 progress report, in: Proc. 1995 NSF Design and Manufacturing Grantees Conf., 1995, pp. 139-140
-
(1995)
Proc. 1995 NSF Design and Manufacturing Grantees Conf.
, pp. 139-140
-
-
Patrikalakis, N.M.1
Cho, W.2
Hu, C.-Y.3
Maekawa, T.4
Sherbrooke, E.C.5
Zhou, J.6
-
74
-
-
17644417981
-
-
Thèse de doctorat en sciences, Université de Nice-Sophia Antipolis, France TU-0619
-
S. Pion, De la géométrie algorithmique au calcul géométrique, Thèse de doctorat en sciences, Université de Nice-Sophia Antipolis, France, 1999. TU-0619
-
(1999)
De La Géométrie Algorithmique Au Calcul Géométrique
-
-
Pion, S.1
-
75
-
-
0038520679
-
Interval arithmetic: An efficient implementation and an application to computational geometry
-
S. Pion, Interval arithmetic: An efficient implementation and an application to computational geometry, in: Workshop on Applications of Interval Analysis to Systems and Control, 1999, pp. 99-110
-
(1999)
Workshop on Applications of Interval Analysis to Systems and Control
, pp. 99-110
-
-
Pion, S.1
-
76
-
-
0038714749
-
Constructive root bound method for k-ary rational input numbers
-
S. Pion, C. Yap, Constructive root bound method for k-ary rational input numbers, in: Proc. 19th Annu. ACM Sympos. Comput. Geom., 2003, pp. 256-263
-
(2003)
Proc. 19th Annu. ACM Sympos. Comput. Geom.
, pp. 256-263
-
-
Pion, S.1
Yap, C.2
-
78
-
-
0031539357
-
How to recognize zero
-
D. Richardson How to recognize zero J. Symbol. Comput. 24 1997 627 645
-
(1997)
J. Symbol. Comput.
, vol.24
, pp. 627-645
-
-
Richardson, D.1
-
79
-
-
23044521239
-
When close enough is close enough
-
E.R. Scheinerman When close enough is close enough Amer. Math. Monthly 107 2000 489 499
-
(2000)
Amer. Math. Monthly
, vol.107
, pp. 489-499
-
-
Scheinerman, E.R.1
-
80
-
-
0012075054
-
Robustness and precision issues in geometric computation
-
J.-R. Sack J. Urrutia Elsevier Science Publishers B.V., North-Holland Amsterdam
-
S. Schirra Robustness and precision issues in geometric computation J.-R. Sack J. Urrutia Handbook of Computational Geometry 2000 Elsevier Science Publishers B.V., North-Holland Amsterdam 597 632 Chapter 14
-
(2000)
Handbook of Computational Geometry
, pp. 597-632
-
-
Schirra, S.1
-
81
-
-
38249003644
-
An axiomatic approach to robust geometric programs
-
P. Schorn An axiomatic approach to robust geometric programs J. Symbol. Comput. 16 1993 155 165
-
(1993)
J. Symbol. Comput.
, vol.16
, pp. 155-165
-
-
Schorn, P.1
-
83
-
-
0037858190
-
Using interval computation with the Mahler measure for zero determination of algebraic numbers
-
H. Sekigawa Using interval computation with the Mahler measure for zero determination of algebraic numbers Josai Inform. Sci. Res. 9 1 1998 83 99
-
(1998)
Josai Inform. Sci. Res.
, vol.9
, Issue.1
, pp. 83-99
-
-
Sekigawa, H.1
-
84
-
-
0034538282
-
Precision-sensitive Euclidean shortest path in 3-space
-
J. Sellen, J. Choi, and C. Yap Precision-sensitive Euclidean shortest path in 3-space SIAM J. Comput. 29 5 2000 1577 1595 Also: 11th ACM Symp. on Comp. Geom., 1995, pp. 350-359
-
(2000)
SIAM J. Comput.
, vol.29
, Issue.5
, pp. 1577-1595
-
-
Sellen, J.1
Choi, J.2
Yap, C.3
-
85
-
-
0002923605
-
A performance comparison of interval arithmetic and error analysis in geometric predicates
-
School of Computer Science, Carnegie-Mellon University
-
S.A. Seshia, G.E. Blelloch, R.W. Harper, A performance comparison of interval arithmetic and error analysis in geometric predicates, Technical Report CMU-CS-00-172, School of Computer Science, Carnegie-Mellon University, 2000
-
(2000)
Technical Report
, vol.CMU-CS-00-172
-
-
Seshia, S.A.1
Blelloch, G.E.2
Harper, R.W.3
-
86
-
-
0029709490
-
Robust adaptive floating-point geometric predicates
-
May
-
J.R. Shewchuk, Robust adaptive floating-point geometric predicates, in: Proc. 12th ACM Symp. Computational Geom., May 1996, pp. 141-150
-
(1996)
Proc. 12th ACM Symp. Computational Geom.
, pp. 141-150
-
-
Shewchuk, J.R.1
-
88
-
-
38249024309
-
Two design principles of geometric algorithms in finite precision arithmetic
-
K. Sugihara, and M. Iri Two design principles of geometric algorithms in finite precision arithmetic Appl. Math. Lett. 2 1989 203 206
-
(1989)
Appl. Math. Lett.
, vol.2
, pp. 203-206
-
-
Sugihara, K.1
Iri, M.2
-
89
-
-
0026922858
-
Construction of the Voronoi diagram for 'one million' generat ors in single-precision arithmetic
-
K. Sugihara, and M. Iri Construction of the Voronoi diagram for 'one million' generat ors in single-precision arithmetic Proc. IEEE 80 9 1992 1471 1484
-
(1992)
Proc. IEEE
, vol.80
, Issue.9
, pp. 1471-1484
-
-
Sugihara, K.1
Iri, M.2
-
90
-
-
17644362135
-
An approach to the problem of numerical errors in geometric algorithms
-
Kyoto, September 12-14
-
K. Sugihara, M. Iri, An approach to the problem of numerical errors in geometric algorithms, in: Proc. 37th Convention of the Information Processing Society of Japan, Kyoto, September 12-14, 1988, pp. 1665-1666
-
(1988)
Proc. 37th Convention of the Information Processing Society of Japan
, pp. 1665-1666
-
-
Sugihara, K.1
Iri, M.2
-
91
-
-
0345937907
-
Geometric algorithms in finite-precision arithmetic
-
Dept. of Math. Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo, September 13th International Symposium on Mathematical Programming, Tokyo, August 29-September 2, 1988
-
K. Sugihara, M. Iri, Geometric algorithms in finite-precision arithmetic, Research Memorandum RMI 88-10, Dept. of Math. Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo, September, 1988, 13th International Symposium on Mathematical Programming, Tokyo, August 29-September 2, 1988
-
(1988)
Research Memorandum
, vol.RMI 88-10
-
-
Sugihara, K.1
Iri, M.2
-
92
-
-
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
-
93
-
-
0041301324
-
Strategic directions in computational geometry
-
R. Tamassia Strategic directions in computational geometry ACM Comput. Surveys 28 4 1996
-
(1996)
ACM Comput. Surveys
, vol.28
, Issue.4
-
-
Tamassia, R.1
-
94
-
-
0003589319
-
-
ANSI/IEEE Std 754-1985. Reprinted in SIGPLAN
-
The Institute of Electrical and Electronic Engineers, Inc., IEEE Standard 754-1985 for binary floating-point arithmetic, ANSI/IEEE Std 754-1985. Reprinted in SIGPLAN 22(2) (1985) 9-25
-
(1985)
IEEE Standard 754-1985 for Binary Floating-point Arithmetic
, vol.22
, Issue.2
, pp. 9-25
-
-
-
95
-
-
84949510783
-
Randomized zero testing of radical expressions and elementary geometry theorem proving
-
J. Richter-Gebert, D. Wang (Eds.) Lecture Notes in Artificial Intelligence Springer, Zurich, Switzerland
-
D. Tulone, C. Yap, C. Li, Randomized zero testing of radical expressions and elementary geometry theorem proving, in: J. Richter-Gebert, D. Wang (Eds.), Proc. 3rd Int'l. Workshop on Automated Deduction in Geometry (ADG'00), Lecture Notes in Artificial Intelligence, vol. 2061, Springer, Zurich, Switzerland, 2001, pp. 58-82
-
(2001)
Proc. 3rd int'L. Workshop on Automated Deduction in Geometry (ADG'00)
, vol.2061
, pp. 58-82
-
-
Tulone, D.1
Yap, C.2
Li, C.3
-
97
-
-
0037520672
-
A new number core for robust numerical and geometric libraries
-
Invited Talk. Brown University, October 11-12, 1998. For abstracts
-
C. Yap, A new number core for robust numerical and geometric libraries, in: 3rd CGC Workshop on Geometric Computing, 1998. Invited Talk. Brown University, October 11-12, 1998. For abstracts, see http://www.cs.brown.edu/cgc/ cgc98/home.html
-
(1998)
3rd CGC Workshop on Geometric Computing
-
-
Yap, C.1
-
98
-
-
0002125694
-
Towards exact geometric computation
-
C.K. Yap Towards exact geometric computation Comput. Geom. Theory Appl. 7 1997 3 23 Invited talk, Proc. 5th Canadian Conference on Comp. Geometry, Waterloo, August 5-9, 1993
-
(1997)
Comput. Geom. Theory Appl.
, vol.7
, pp. 3-23
-
-
Yap, C.K.1
-
100
-
-
27144482942
-
On guaranteed accuracy computation
-
F. Chen, D. Wang, (Eds.) World Scientific Publishing Co., Singapore, to appear
-
C.K. Yap, On guaranteed accuracy computation, in: F. Chen, D. Wang, (Eds.), Geometric Computation, World Scientific Publishing Co., Singapore, to appear
-
Geometric Computation
-
-
Yap, C.K.1
-
101
-
-
17644369824
-
Robust geometric computation
-
J.E. Goodman J. O'Rourke second ed. CRC Press LLC Boca Raton, FL
-
C.K. Yap Robust geometric computation J.E. Goodman J. O'Rourke Handbook of Discrete and Computational Geometry second ed. 2004 CRC Press LLC Boca Raton, FL 927 952 Chapter 41
-
(2004)
Handbook of Discrete and Computational Geometry
, pp. 927-952
-
-
Yap, C.K.1
-
102
-
-
0001119219
-
The exact computation paradigm
-
D.-Z. Du F.K. Hwang World Scientific Press
-
C.K. Yap, and T. Dubé The exact computation paradigm D.-Z. Du F.K. Hwang Computing in Euclidean Geometry 1995 World Scientific Press 452 486
-
(1995)
Computing in Euclidean Geometry
, pp. 452-486
-
-
Yap, C.K.1
Dubé, T.2
-
103
-
-
0005358608
-
-
Ph.D. dissertation, Department of Computer Science, Purdue University, West Lafayette, IN 47907, June. Technical Report No. CSD-TR-92-037
-
J. Yu, Exact Arithmetic Solid Modeling. Ph.D. dissertation, Department of Computer Science, Purdue University, West Lafayette, IN 47907, June 1992. Technical Report No. CSD-TR-92-037
-
(1992)
Exact Arithmetic Solid Modeling
-
-
Yu, J.1
|