-
1
-
-
84892361873
-
-
Boost, C++ libraries
-
Boost, C++ libraries. http://www.boost.org
-
-
-
-
2
-
-
84892243487
-
-
Cgal, Computational Geometry Algorithms Library
-
Cgal, Computational Geometry Algorithms Library. http://www.cgal.org
-
-
-
-
3
-
-
84892353810
-
-
Core number library
-
Core number library. http://cs.nyu.edu/exact/core pages.
-
-
-
-
4
-
-
84892193098
-
-
Exacus Efficient and exact algorithms for curves and surfaces
-
Exacus, Efficient and exact algorithms for curves and surfaces. http://www.mpi-inf.mpg.de/projects/EXACUS
-
-
-
-
5
-
-
84892283541
-
-
FGB/RS
-
FGB/RS. http://fgbrs.lip6.fr.
-
-
-
-
6
-
-
84892231007
-
-
GMP, GNU multiple precision arithmetic library
-
GMP, GNU multiple precision arithmetic library. http://www.swox.com/gmp
-
-
-
-
7
-
-
84892202930
-
-
Irit modeling environment
-
Irit modeling environment. http://www.cs.technion.ac.il/~irit/.
-
-
-
-
8
-
-
84892287990
-
-
Leda, Library for efficient data types and algorithms
-
Leda, Library for efficient data types and algorithms. http://www.algorithmic-solutions.com/enleda.htm.
-
-
-
-
9
-
-
84892273373
-
-
MPFI, Multiple precision interval arithmetic library
-
MPFI, Multiple precision interval arithmetic library. http://perso.ens-lyon.fr/nathalie.revol/software.html.
-
-
-
-
10
-
-
84892199214
-
-
MPFR, Multiple-precision floating-point computations
-
MPFR, Multiple-precision floating-point computations. http://www.mpfr.org
-
-
-
-
11
-
-
84892210551
-
-
QI: Quadrics intersection
-
QI: Quadrics intersection. http://www.loria.fr/equipes/isa/qi.
-
-
-
-
14
-
-
0030735112
-
On the determination of starting points for parametric surface intersections
-
K. Abdel-Malek and H.-J. Yeh. On the determination of starting points for parametric surface intersections. Computer-Aided Design, 28:21-35, 1997.
-
(1997)
Computer-Aided Design
, vol.28
, pp. 21-35
-
-
Abdel-Malek, K.1
Yeh, H.-J.2
-
15
-
-
0001989894
-
Arrangements and their applications
-
J.-R. Sack and J. Urrutia, editors, Elsevier Science Publishers B.V. North-Holland, Amsterdam
-
P. K. Agarwal and M. Sharir. Arrangements and their applications. In J.-R. Sack and J. Urrutia, editors, Handbook of Computational Geometry, pages 49-119. Elsevier Science Publishers B.V. North-Holland, Amsterdam, 2000.
-
(2000)
Handbook of Computational Geometry
, pp. 49-119
-
-
Agarwal, P.K.1
Sharir, M.2
-
16
-
-
0035175291
-
Point set surfaces
-
M. Alexa, J. Behr, D. Cohen-Or, S. Fleishman, D. Levin, and C. Silva. Point set surfaces. In IEEE, editor, Visualization, pages 21-28, 2001.
-
(2001)
IEEE, Editor, Visualization
, pp. 21-28
-
-
Alexa, M.1
Behr, J.2
Cohen-Or, D.3
Fleishman, S.4
Levin, D.5
Silva, C.6
-
18
-
-
28844506353
-
Convection-driven dynamic surface reconstruction
-
Cambridge, MA, USA, June 15-17
-
R. Allegre, R. Chaine, and S. Akkouche. Convection-driven dynamic surface reconstruction. In Proc. of Shape Modeling International, pages 33-42, Cambridge, MA, USA, June 15-17 2005.
-
(2005)
Proc. of Shape Modeling International
, pp. 33-42
-
-
Allegre, R.1
Chaine, R.2
Akkouche, S.3
-
19
-
-
77953973380
-
Anisotropic polygonal remeshing
-
P. Alliez, D. Cohen-Steiner, O. Devillers, B. Ĺevy, and M. Desbrun. Anisotropic polygonal remeshing. ACM Trans. Graph., 22(3):485-493, 2003.
-
(2003)
ACM Trans. Graph.
, vol.22
, Issue.3
, pp. 485-493
-
-
Alliez, P.1
Cohen-Steiner, D.2
Devillers, O.3
Ĺevy, B.4
Desbrun, M.5
-
20
-
-
23944492932
-
The Voronoi diagram of curved objects
-
H. Alt, O. Cheong, and A. Vigneron. The Voronoi diagram of curved objects. Discrete and Computational Geometry, 34(3):439-453, 2002.
-
(2002)
Discrete and Computational Geometry
, vol.34
, Issue.3
, pp. 439-453
-
-
Alt, H.1
Cheong, O.2
Vigneron, A.3
-
22
-
-
0033465068
-
Surface reconstruction by Voronoi filtering
-
N. Amenta and M. Bern. Surface reconstruction by Voronoi filtering. Discrete Comput. Geom., 22(4):481-504, 1999.
-
(1999)
Discrete Comput. Geom.
, vol.22
, Issue.4
, pp. 481-504
-
-
Amenta, N.1
Bern, M.2
-
24
-
-
0032028909
-
The crust and the β-skeleton: Combinatorial curve reconstruction
-
N. Amenta, M. Bern, and D. Eppstein. The crust and the β-skeleton: Combinatorial curve reconstruction. Graphical models and image processing: GMIP, 60(2):125-135, 1998.
-
(1998)
Graphical Models and Image Processing: GMIP
, vol.60
, Issue.2
, pp. 125-135
-
-
Amenta, N.1
Bern, M.2
Eppstein, D.3
-
25
-
-
0033684416
-
A simple algorithm for home-omorphic surface reconstruction
-
N. Amenta, S. Choi, T. K. Dey, and N. Leekha. A simple algorithm for home-omorphic surface reconstruction. In Proc. 16th Ann. Sympos. Comput. Geom., pages 213-222, 2000.
-
(2000)
Proc. 16th Ann. Sympos. Comput. Geom.
, pp. 213-222
-
-
Amenta, N.1
Choi, S.2
Dey, T.K.3
Leekha, N.4
-
27
-
-
0035391053
-
The power crust unions of balls, and the medial axis transform
-
N. Amenta, S. Choi, and R. K. Kolluri. The power crust, unions of balls, and the medial axis transform. Comput. Geom. Theory Appl., 19:127-153, 2001.
-
(2001)
Comput. Geom. Theory Appl.
, vol.19
, pp. 127-153
-
-
Amenta, N.1
Choi, S.2
Kolluri, R.K.3
-
28
-
-
0004255084
-
Basic topology
-
Springer-Verlag, New York, Berlin, Heidelberg
-
M. Armstrong. Basic Topology. Undergraduate Texts in Mathematics. Springer-Verlag, New York, Berlin, Heidelberg, 1983.
-
(1983)
Undergraduate Texts in Mathematics
-
-
Armstrong, M.1
-
29
-
-
0004085297
-
-
Birkḧauser Boston Inc., Boston, MA
-
V. I. Arnol'd, S. M. Gusein-Zade, and A. N. Varchenko. Singularities of dif-ferentiable maps. Vol.I: The classification of critical points, caustics and wave fronts, volume 82 of Monographs in Mathematics. Birkḧauser Boston Inc., Boston, MA, 1985.
-
(1985)
Singularities of Dif-ferentiable Maps. Vol.I: The Classification of Critical Points, Caustics and Wave Fronts, Volume 82 of Monographs in Mathematics
-
-
Arnol'D, V.I.1
Gusein-Zade, S.M.2
Varchenko, A.N.3
-
30
-
-
0000852691
-
R-regular shape reconstruction from unorganized points
-
D. Attali. r-regular shape reconstruction from unorganized points. Comput. Geom. Theory Appl., 10:239-247, 1998.
-
(1998)
Comput. Geom. Theory Appl.
, vol.10
, pp. 239-247
-
-
Attali, D.1
-
31
-
-
1842765491
-
A linear bound on the complexity of the delaunay triangulation of points on polyhedral surfaces
-
D. Attali and J.-D. Boissonnat. A linear bound on the complexity of the delaunay triangulation of points on polyhedral surfaces. Discrete and Comp. Geometry, 31:369-384, 2004.
-
(2004)
Discrete and Comp. Geometry
, vol.31
, pp. 369-384
-
-
Attali, D.1
Boissonnat, J.-D.2
-
32
-
-
49149100062
-
Stability and computation of medial axes: A state of the art report
-
T. M̈oller, B. Hamann, and B. Russell, editors, Springer-Verlag
-
D. Attali, J.-D. Boissonnat, and H. Edelsbrunner. Stability and computation of medial axes: a state of the art report. In T. M̈oller, B. Hamann, and B. Russell, editors, Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, Mathematics and Visualization. Springer-Verlag.
-
Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, Mathematics and Visualization
-
-
Attali, D.1
Boissonnat, J.-D.2
Edelsbrunner, H.3
-
33
-
-
0037700499
-
Complexity of the Delaunay trian-gulation of points on surfaces the smooth case
-
San Diego, ACM Press
-
D. Attali, J.-D. Boissonnat, and A. Lieutier. Complexity of the Delaunay trian-gulation of points on surfaces the smooth case. In Proc. 19th Ann. Symposium on Computational Geometry, pages 201-210, San Diego, 2003. ACM Press.
-
(2003)
Proc. 19th Ann. Symposium on Computational Geometry
, pp. 201-210
-
-
Attali, D.1
Boissonnat, J.-D.2
Lieutier, A.3
-
34
-
-
0342468772
-
Automatic surface reconstruction from point sets in space
-
ACM Press
-
M. Attene and M. Spagnuolo. Automatic surface reconstruction from point sets in space. In Eurographics, pages 457-465. ACM Press, 2000.
-
(2000)
Eurographics
, pp. 457-465
-
-
Attene, M.1
Spagnuolo, M.2
-
35
-
-
0023287929
-
Power diagrams: Properties, algorithms and applications
-
F. Aurenhammer. Power diagrams: properties, algorithms and applications. SIAM J. Comput., 16:78-96, 1987.
-
(1987)
SIAM J. Comput.
, vol.16
, pp. 78-96
-
-
Aurenhammer, F.1
-
36
-
-
0005360774
-
Linear combinations from power domains
-
F. Aurenhammer. Linear combinations from power domains. Geom. Dedicata, 28:45-52, 1988.
-
(1988)
Geom. Dedicata
, vol.28
, pp. 45-52
-
-
Aurenhammer, F.1
-
37
-
-
0001781555
-
Voronoi diagrams
-
J.-R. Sack and J. Urrutia, editors, Elsevier Science Publishers B.V. North-Holland, Amsterdam
-
F. Aurenhammer and R. Klein. Voronoi diagrams. In J.-R. Sack and J. Urrutia, editors, Handbook of Computational Geometry, pages 201-290. Elsevier Science Publishers B.V. North-Holland, Amsterdam, 2000
-
(2000)
Handbook of Computational Geometry
, pp. 201-290
-
-
Aurenhammer, F.1
Klein, R.2
-
40
-
-
52449147548
-
Generation of configuration space obstacles: The case of moving algebraic surfaces
-
C. Bajaj and M.-S. Kim. Generation of configuration space obstacles: the case of moving algebraic surfaces. Algorithmica, 4:155-172, 1989.
-
(1989)
Algorithmica
, vol.4
, pp. 155-172
-
-
Bajaj, C.1
Kim, M.-S.2
-
41
-
-
84972536303
-
Critical points and curvature for embedded polyhedra
-
T. F. Banchoff. Critical points and curvature for embedded polyhedra. J. Diff. Geom., 1:245-256, 1967.
-
(1967)
J. Diff. Geom.
, vol.1
, pp. 245-256
-
-
Banchoff, T.F.1
-
42
-
-
0001685025
-
Critical points and curvature for embedded polyhedral surfaces
-
T. F. Banchoff. Critical points and curvature for embedded polyhedral surfaces. Amer. Math. Monthly, 77:475-485, 1970.
-
(1970)
Amer. Math. Monthly
, vol.77
, pp. 475-485
-
-
Banchoff, T.F.1
-
43
-
-
84867999673
-
Maximizing the area of an axially-symmetric polygon inscribed by a simple polygon
-
G. Barequet and V. Rogol. Maximizing the area of an axially-symmetric polygon inscribed by a simple polygon. In 16th Canadian Conf. on Computational Geometry, pages 128-131, 2004.
-
(2004)
16th Canadian Conf. on Computational Geometry
, pp. 128-131
-
-
Barequet, G.1
Rogol, V.2
-
45
-
-
0016557674
-
Multidimensional binary search trees used for associative searching
-
Sept.
-
J. L. Bentley. Multidimensional binary search trees used for associative searching. Commun. ACM, 18(9):509-517, Sept. 1975.
-
(1975)
Commun. ACM
, vol.18
, Issue.9
, pp. 509-517
-
-
Bentley, J.L.1
-
46
-
-
0018515704
-
Algorithms for reporting and counting geometric intersections
-
Sept.
-
J. L. Bentley and T. A. Ottmann. Algorithms for reporting and counting geometric intersections. IEEE Trans. Comput., C-28(9):643-647, Sept. 1979.
-
(1979)
IEEE Trans. Comput C
, vol.28
, Issue.9
, pp. 643-647
-
-
Bentley, J.L.1
Ottmann, T.A.2
-
48
-
-
27144523718
-
EXACUS: Efficient and exact algorithms for curves and surfaces
-
Oct.
-
E. Berberich, A. Eigenwillig, M. Hemmer, S. Hert, L. Kettner, K. Mehlhorn, J. Reichel, S. Schmitt, E. Scḧomer, and N. Wolpert. EXACUS: Efficient and exact algorithms for curves and surfaces. In Proc. 13th Annu. European Sym-pos. Algorithms (ESA'05), volume 3669 of Lecture Notes in Computer Science, pages 155-166, Oct. 2005.
-
(2005)
Proc. 13th Annu. European Sym-pos. Algorithms (ESA'05) Volume 3669 of Lecture Notes in Computer Science
, pp. 155-166
-
-
Berberich, E.1
Eigenwillig, A.2
Hemmer, M.3
Hert, S.4
Kettner, L.5
Mehlhorn, K.6
Reichel, J.7
Schmitt, S.8
Scḧomer, E.9
Wolpert, N.10
-
49
-
-
84938090031
-
A computational basis for conic arcs and Boolean operations on conic polygons
-
Springer-Verlag
-
E. Berberich, A. Eigenwillig, M. Hemmer, S. Hert, K. Mehlhorn, and E. Scḧomer. A computational basis for conic arcs and Boolean operations on conic polygons. In Proc. 10th European Symposium on Algorithms, volume 2461 of Lecture Notes in Computer Science, pages 174-186. Springer-Verlag, 2002.
-
(2002)
Proc. 10th European Symposium on Algorithms Volume 2461 of Lecture Notes in Computer Science
, pp. 174-186
-
-
Berberich, E.1
Eigenwillig, A.2
Hemmer, M.3
Hert, S.4
Mehlhorn, K.5
Scḧomer, E.6
-
50
-
-
27144486382
-
An exact, complete and efficient implementation for computing planar maps of quadric intersection curves
-
E. Berberich, M. Hemmer, L. Kettner, E. Scḧomer, and N. Wolpert. An exact, complete and efficient implementation for computing planar maps of quadric intersection curves. In Proc. 21th Annual Symposium on Computational Geometry, pages 99-106, 2005.
-
(2005)
Proc. 21th Annual Symposium on Computational Geometry
, pp. 99-106
-
-
Berberich, E.1
Hemmer, M.2
Kettner, L.3
Scḧomer, E.4
Wolpert, N.5
-
51
-
-
0003533543
-
Differential geometry: Manifolds, curves and surfaces
-
Springer-Verlag, New York, translated by S. Levy)
-
M. Berger and B. Gostiaux. Differential Geometry: Manifolds, Curves and Surfaces. Graduate Texts in Mathematics No. 115. Springer-Verlag, New York, 1988. (translated by S. Levy).
-
(1988)
Graduate Texts in Mathematics No. 115
-
-
Berger, M.1
Gostiaux, B.2
-
52
-
-
0033207611
-
The ball-pivoting algorithm for surface reconstruction
-
F. Bernardini, J. Mittleman, H. Rushmeir, C. Silva, and G. Taubin. The ball-pivoting algorithm for surface reconstruction. IEEE Transactions on Visualization and Computer Graphics, 5(4):349-359, 1999.
-
(1999)
IEEE Transactions on Visualization and Computer Graphics
, vol.5
, Issue.4
, pp. 349-359
-
-
Bernardini, F.1
Mittleman, J.2
Rushmeir, H.3
Silva, C.4
Taubin, G.5
-
53
-
-
30944448854
-
Nef polyhedra: A brief introduction
-
H. Bieri. Nef polyhedra: A brief introduction. Computing Suppl., 10:43-60, 1995.
-
(1995)
Computing Suppl.
, vol.10
, pp. 43-60
-
-
Bieri, H.1
-
54
-
-
84913415905
-
Geometric structures for three-dimensional shape representation
-
J.-D. Boissonnat. Geometric structures for three-dimensional shape representation. ACM Trans. Graph., 3(4):266-286, 1984.
-
(1984)
ACM Trans. Graph.
, vol.3
, Issue.4
, pp. 266-286
-
-
Boissonnat, J.-D.1
-
55
-
-
7744247415
-
Coarse-to-fine surface simplification with geometric guarantees
-
J.-D. Boissonnat and F. Cazals. Coarse-to-fine surface simplification with geometric guarantees. In Eurographics, 01.
-
Eurographics
, vol.1
-
-
Boissonnat, J.-D.1
Cazals, F.2
-
56
-
-
0033702377
-
Smooth surface reconstruction via natural neighbour interpolation of distance functions
-
J.-D. Boissonnat and F. Cazals. Smooth surface reconstruction via natural neighbour interpolation of distance functions. In Proc. 16th Ann. Sympos. Comput. Geom., pages 223-232, 2000.
-
(2000)
Proc. 16th Ann. Sympos. Comput. Geom.
, pp. 223-232
-
-
Boissonnat, J.-D.1
Cazals, F.2
-
57
-
-
0033702377
-
Smooth surface reconstruction via natural neighbour interpolation of distance functions
-
ACM Press
-
J.-D. Boissonnat and F. Cazals. Smooth surface reconstruction via natural neighbour interpolation of distance functions. In Proc. 16th Ann. Symposium on Computational Geometry, pages 223-232. ACM Press, 2000.
-
(2000)
Proc. 16th Ann. Symposium on Computational Geometry
, pp. 223-232
-
-
Boissonnat, J.-D.1
Cazals, F.2
-
58
-
-
0035801155
-
Coarse-to-fine surface simplification with geometric guarantees
-
A. Chalmers and T.-M. Rhyne, editors, Manchester, Blackwell
-
J.-D. Boissonnat and F. Cazals. Coarse-to-fine surface simplification with geometric guarantees. In A. Chalmers and T.-M. Rhyne, editors, Eurographics'01, pages 490-499, Manchester, 2001. Blackwell.
-
(2001)
Eurographics'01
, pp. 490-499
-
-
Boissonnat, J.-D.1
Cazals, F.2
-
60
-
-
3142613928
-
Output-sensitive construction of the Delaunay triangulation of points lying in two planes
-
J.-D. Boissonnat, A. Ćeŕezo, O. Devillers, and M. Teillaud. Output-sensitive construction of the Delaunay triangulation of points lying in two planes. In-ternat. J. Comput. Geom. Appl., 6(1):1-14, 1996.
-
(1996)
Internat. J. Comput. Geom. Appl.
, vol.6
, Issue.1
, pp. 1-14
-
-
Boissonnat, J.-D.1
Ćeŕezo, A.2
Devillers, O.3
Teillaud, M.4
-
61
-
-
4544273247
-
Isotopic implicit surface meshing
-
New York, June, ACM Press
-
J.-D. Boissonnat, D. Cohen-Steiner, and G. Vegter. Isotopic implicit surface meshing. In Proc. 36th Ann. ACM Symposium on Theory of Computing, pages 301-309, New York, June 2004. ACM Press.
-
(2004)
Proc. 36th Ann. ACM Symposium on Theory of Computing
, pp. 301-309
-
-
Boissonnat, J.-D.1
Cohen-Steiner, D.2
Vegter, G.3
-
63
-
-
0038077555
-
On the combinatorial complexity of Euclidean Voronoi cells and convex hulls of d-dimensional spheres
-
J.-D. Boissonnat and M. Karavelas. On the combinatorial complexity of Euclidean Voronoi cells and convex hulls of d-dimensional spheres. In Proc. 14th ACM-SIAM Sympos. Discrete Algorithms (SODA), pages 305-312, 2003.
-
(2003)
Proc. 14th ACM-SIAM Sympos. Discrete Algorithms (SODA)
, pp. 305-312
-
-
Boissonnat, J.-D.1
Karavelas, M.2
-
64
-
-
85122623844
-
Provably good surface sampling and approximation
-
Aire-la-Ville, Switzerland, Switzerland, Eurographics Association
-
J.-D. Boissonnat and S. Oudot. Provably good surface sampling and approximation. In SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing, pages 9-18, Aire-la-Ville, Switzerland, Switzerland, 2003. Eurographics Association.
-
SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing
, Issue.2003
, pp. 9-18
-
-
Boissonnat, J.-D.1
Oudot, S.2
-
65
-
-
24944582018
-
Provably good sampling and meshing of surfaces
-
J.-D. Boissonnat and S. Oudot. Provably good sampling and meshing of surfaces. Graphical Models, 67:405-451, 2005.
-
(2005)
Graphical Models
, vol.67
, pp. 405-451
-
-
Boissonnat, J.-D.1
Oudot, S.2
-
68
-
-
0041859748
-
On the angular defect of triangu-lations and the pointwise approximation of curvatures
-
V. Borrelli, F. Cazals, and J.-M. Morvan. On the angular defect of triangu-lations and the pointwise approximation of curvatures. Comput. Aided Geom. Design, 20:319-341, 2003.
-
(2003)
Comput. Aided Geom. Design
, vol.20
, pp. 319-341
-
-
Borrelli, V.1
Cazals, F.2
Morvan, J.-M.3
-
69
-
-
0005422241
-
Interval arithmetic yields efficient dynamic filters for computational geometry
-
H. Br̈onnimann, C. Burnikel, and S. Pion. Interval arithmetic yields efficient dynamic filters for computational geometry. Discrete Applied Mathematics, 109:25-47, 2001.
-
(2001)
Discrete Applied Mathematics
, vol.109
, pp. 25-47
-
-
Br̈onnimann, H.1
Burnikel, C.2
Pion, S.3
-
70
-
-
84949185039
-
Applications of the generic programming paradigm in the design of CGAL
-
M. Jazayeri, R. Loos, and D. Musser, editors, Springer-Verlag
-
H. Br̈onnimann, L. Kettner, S. Schirra, and R. Veltkamp. Applications of the generic programming paradigm in the design of CGAL. In M. Jazayeri, R. Loos, and D. Musser, editors, Generic Programming-Proceedings of a Dagstuhl Seminar, volume 1766 of Lecture Notes in Computer Science, pages 206-217. Springer-Verlag, 2000.
-
(2000)
Generic Programming-Proceedings of A Dagstuhl Seminar Volume 1766 of Lecture Notes in Computer Science
, pp. 206-217
-
-
Br̈onnimann, H.1
Kettner, L.2
Schirra, S.3
Veltkamp, R.4
-
72
-
-
0031195477
-
Systems of coordinates associated with points scattered in the plane
-
J. L. Brown. Systems of coordinates associated with points scattered in the plane. Comput. Aided Design, 14:547-559, 1997.
-
(1997)
Comput. Aided Design
, vol.14
, pp. 547-559
-
-
Brown, J.L.1
-
73
-
-
84892322545
-
-
Technical Report ECG-TR-123101-02, MPI Saarbrücken
-
C. Burnikel, S. Funke, K. Mehlhorn, S. Schirra, and S. Schmitt. A separation bound for real algebraic expressions. Technical Report ECG-TR-123101-02, MPI Saarbrücken, 2002.
-
(2002)
A Separation Bound for Real Algebraic Expressions
-
-
Burnikel, C.1
Funke, S.2
Mehlhorn, K.3
Schirra, S.4
Schmitt, S.5
-
76
-
-
0010247052
-
-
Technical Report MPI-I-96-1-001, Max-Planck Institut Inform., Saarbrücken, Germany, Jan.
-
C. Burnikel, K. Mehlhorn, and S. Schirra. The LEDA class real number. Technical Report MPI-I-96-1-001, Max-Planck Institut Inform., Saarbrücken, Germany, Jan. 1996.
-
(1996)
The LEDA Class Real Number
-
-
Burnikel, C.1
Mehlhorn, K.2
Schirra, S.3
-
79
-
-
0035157649
-
Reconstruction and representation of 3d objects with radial basis functions
-
ACM
-
J. Carr, R. Beatson, J. Cherrie, T. Mitchell, T. Fright, B. McCallum, and T. Evans. Reconstruction and representation of 3d objects with radial basis functions. In Siggraph, pages 67-76. ACM, 2001.
-
(2001)
Siggraph
, pp. 67-76
-
-
Carr, J.1
Beatson, R.2
Cherrie, J.3
Mitchell, T.4
Fright, T.5
McCallum, B.6
Evans, T.7
-
82
-
-
57349115751
-
A convection geometric-based approach to surface reconstruction
-
R. Chaine. A convection geometric-based approach to surface reconstruction. In Symp. Geometry Processing, pages 218-229, 2003.
-
(2003)
Symp. Geometry Processing
, pp. 218-229
-
-
Chaine, R.1
-
84
-
-
51249162153
-
An optimal convex hull algorithm in any fixed dimension
-
B. Chazelle. An optimal convex hull algorithm in any fixed dimension. Discrete Comput. Geom., 10:377-409, 1993.
-
(1993)
Discrete Comput. Geom.
, vol.10
, pp. 377-409
-
-
Chazelle, B.1
-
85
-
-
0026191608
-
A singly-exponential stratification scheme for real semi-algebraic varieties and its applications
-
B. Chazelle, H. Edelsbrunner, L. J. Guibas, and M. Sharir. A singly-exponential stratification scheme for real semi-algebraic varieties and its applications. The-oret. Comput. Sci., 84:77-105, 1991.
-
(1991)
The-oret. Comput. Sci.
, vol.84
, pp. 77-105
-
-
Chazelle, B.1
Edelsbrunner, H.2
Guibas, L.J.3
Sharir, M.4
-
87
-
-
0010464476
-
Application challenges to computational geometry: CG impact task force report
-
B. Chazelle, J. E. Goodman, and R. Pollack, editors, American Mathematical Society, Providence
-
B. Chazelle et al. Application challenges to computational geometry: CG impact task force report. In B. Chazelle, J. E. Goodman, and R. Pollack, editors Advances in Discrete and Computational Geometry, volume 223 of Contemporary Mathematics, pages 407-463. American Mathematical Society, Providence, 1999.
-
(1999)
Advances in Discrete and Computational Geometry, Volume 223 of Contemporary Mathematics
, pp. 407-463
-
-
Chazelle, B.1
-
88
-
-
0035632149
-
Dynamic skin triangulation
-
H.-L. Cheng, T. K. Dey, H. Edelsbrunner, and J. Sullivan. Dynamic skin triangulation. Discrete Comput. Geom., 25:525-568, 2001.
-
(2001)
Discrete Comput. Geom.
, vol.25
, pp. 525-568
-
-
Cheng, H.-L.1
Dey, T.K.2
Edelsbrunner, H.3
Sullivan, J.4
-
89
-
-
0032676429
-
Sliver exudation
-
S.-W. Cheng, T. K. Dey, H. Edelsbrunner, M. A. Facello, and S.-H. Teng. Sliver exudation. In Proc. 15th Ann. Sympos. Comput. Geom., pages 1-13, 1999.
-
(1999)
Proc. 15th Ann. Sympos. Comput. Geom.
, pp. 1-13
-
-
Cheng, S.-W.1
Dey, T.K.2
Edelsbrunner, H.3
Facello, M.A.4
Teng, S.-H.5
-
90
-
-
4544267752
-
Sampling and meshing a surface with guaranteed topology and geometry
-
S.-W. Cheng, T. K. Dey, E. A. Ramos, and T. Ray. Sampling and meshing a surface with guaranteed topology and geometry. In Proc. 20th Ann. Sympos. Comput. Geom., pages 280-289, 2004.
-
(2004)
Proc. 20th Ann. Sympos. Comput. Geom.
, pp. 280-289
-
-
Cheng, S.-W.1
Dey, T.K.2
Ramos, E.A.3
Ray, T.4
-
91
-
-
0027803996
-
Guaranteed-quality mesh generation for curved surfaces
-
L. P. Chew. Guaranteed-quality mesh generation for curved surfaces. In Proc. 9th Ann. Sympos. Comput. Geom., pages 274-280, 1993.
-
(1993)
Proc. 9th Ann. Sympos. Comput. Geom.
, pp. 274-280
-
-
Chew, L.P.1
-
92
-
-
10044238852
-
Simple and optimal output-sensitive construction of contour trees using monotone paths
-
Y.-J. Chiang, T. Lenz, X. Lu, and G. Rote. Simple and optimal output-sensitive construction of contour trees using monotone paths. Computational Geometry, Theory and Applications, 30:165-195, 2005.
-
(2005)
Computational Geometry Theory and Applications
, vol.30
, pp. 165-195
-
-
Chiang, Y.-J.1
Lenz, T.2
Lu, X.3
Rote, G.4
-
94
-
-
2342591360
-
A greedy Delaunay based surface reconstruction algorithm
-
D. Cohen-Steiner and F. Da. A greedy Delaunay based surface reconstruction algorithm. The Visual Computer, 20:4-16, 2004.
-
(2004)
The Visual Computer
, vol.20
, pp. 4-16
-
-
Cohen-Steiner, D.1
Da, F.2
-
99
-
-
4344669332
-
Loops in Reeb graphs of 2-manifolds
-
K. Cole-McLaughlin, H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pas-cucci. Loops in Reeb graphs of 2-manifolds. Discrete Comput. Geom., 32(2):231-244, 2004.
-
(2004)
Discrete Comput. Geom.
, vol.32
, Issue.2
, pp. 231-244
-
-
Cole-Mclaughlin, K.1
Edelsbrunner, H.2
Harer, J.3
Natarajan, V.4
Pas-Cucci, V.5
-
100
-
-
0001938647
-
Quantifier elimination by cylindrical algebraic decomposition-twenty years of progress
-
B. Caviness and J. Johnson, Editors, Springer, Verlag
-
E. Collins. Quantifier elimination by cylindrical algebraic decomposition-twenty years of progress. In B. Caviness and J. Johnson, editors, Quantifier Elimination and Cylindrical Algebraic Decomposition, pages 8-23. Springer Verlag, 1998.
-
(1998)
Quantifier Elimination and Cylindrical Algebraic Decomposition
, pp. 8-23
-
-
Collins, E.1
-
102
-
-
25944474942
-
Quantifier elimination and the sign variation method for real root isolation
-
New York, NY, USA, ACM Press
-
G. E. Collins and J. R. Johnson. Quantifier elimination and the sign variation method for real root isolation. In ISSAC '89: Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation, pages 264-271, New York, NY, USA, 1989. ACM Press.
-
(1989)
ISSAC '89: Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic and Algebraic Computation
, pp. 264-271
-
-
Collins, G.E.1
Johnson, J.R.2
-
103
-
-
0000538815
-
Analytical molecular surface calculation
-
M. L. Connolly. Analytical molecular surface calculation. J. Appl. Cryst., 16:548-558, 1983.
-
(1983)
J. Appl. Cryst.
, vol.16
, pp. 548-558
-
-
Connolly, M.L.1
-
107
-
-
0003908675
-
Ideals, varieties, and algorithms: An introduction to computational algebraic geometry and commutative algebra
-
Springer Verlag, New York
-
D. Cox, J. Little, and D. O'Shea. Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Undergraduate Texts in Mathematics. Springer Verlag, New York, 1992.
-
(1992)
Undergraduate Texts in Mathematics
-
-
Cox, D.1
Little, J.2
O'Shea, D.3
-
110
-
-
0003772933
-
-
Springer-Verlag, Berlin
-
M. de Berg, M. van Kreveld, M. Overmars, and O. Schwarzkopf. Computational Geometry: Algorithms and Applications. Springer-Verlag, Berlin, 1997.
-
(1997)
Computational Geometry: Algorithms and Applications
-
-
De Berg, M.1
Van Kreveld, M.2
Overmars, M.3
Schwarzkopf, O.4
-
111
-
-
0003772933
-
-
Springer-Verlag, Berlin, Germany, 2nd edition
-
M. de Berg, M. van Kreveld, M. Overmars, and O. Schwarzkopf. Computational Geometry: Algorithms and Applications. Springer-Verlag, Berlin, Germany, 2nd edition, 2000.
-
(2000)
Computational Geometry: Algorithms and Applications
-
-
De Berg, M.1
Van Kreveld, M.2
Overmars, M.3
Schwarzkopf, O.4
-
113
-
-
10044257064
-
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
-
C. J. A. Delfinado and H. Edelsbrunner. An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Comput. Aided Geom. Des., 12(7):771-784, 1995.
-
(1995)
Comput. Aided Geom. Des.
, vol.12
, Issue.7
, pp. 771-784
-
-
Delfinado, C.J.A.1
Edelsbrunner, H.2
-
116
-
-
31244433868
-
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
-
O. Devillers, A. Fronville, B. Mourrain, and M. Teillaud. Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Comput. Geom. Theory Appl., 22:119-142, 2002.
-
(2002)
Comput. Geom. Theory Appl.
, vol.22
, pp. 119-142
-
-
Devillers, O.1
Fronville, A.2
Mourrain, B.3
Teillaud, M.4
-
117
-
-
4544350846
-
Efficient exact geometric predicates for Delaunay triangulations
-
O. Devillers and S. Pion. Efficient exact geometric predicates for Delaunay triangulations. In Proc. 5th Workshop Algorithm Eng. Exper., pages 37-44, 2003.
-
(2003)
Proc. 5th Workshop Algorithm Eng. Exper.
, pp. 37-44
-
-
Devillers, O.1
Pion, S.2
-
119
-
-
0002244951
-
Computational topology
-
B. Chazelle, J. E. Goodman, and R. Pollack, editors, American Mathematical Society
-
T. K. Dey, H. Edelsbrunner, and S. Guha. Computational topology. In B. Chazelle, J. E. Goodman, and R. Pollack, editors, Advances in Discrete and Computational Geometry-Proc. 1996 AMS-IMS-SIAM Joint Summer Research Conf. Discrete and Computational Geometry: Ten Years Later, number 223 in Contemporary Mathematics, pages 109-143. American Mathematical Society, 1999.
-
(1999)
Advances in Discrete and Computational Geometry-Proc. 1996 AMS-IMS-SIAM Joint Summer Research Conf. Discrete and Computational Geometry: Ten Years Later Number 223 in Contemporary Mathematics
, pp. 109-143
-
-
Dey, T.K.1
Edelsbrunner, H.2
Guha, S.3
-
122
-
-
33244478988
-
Critical points of the distance to an epsilon-sampling on a surface and flow-complex-based surface reconstruction
-
ACM Press
-
T. K. Dey, J. Giesen, E. A. Ramos, and B. Sadri. Critical points of the distance to an epsilon-sampling on a surface and flow-complex-based surface reconstruction. In Proc. 21st Ann. Symposium on Computational Geometry, pages 218-227. ACM Press, 2005.
-
(2005)
Proc. 21st Ann. Symposium on Computational Geometry
, pp. 218-227
-
-
Dey, T.K.1
Giesen, J.2
Ramos, E.A.3
Sadri, B.4
-
125
-
-
0032785131
-
A simple provable algorithm for curve reconstruction
-
Philadelphia, PA, USA, Society for Industrial and Applied Mathematics
-
T. K. Dey and P. Kumar. A simple provable algorithm for curve reconstruction. In SODA '99: Proceedings of the Tenth Annual ACM-SIAM Symposium on Discrete Algorithms, pages 893-894, Philadelphia, PA, USA, 1999. Society for Industrial and Applied Mathematics.
-
(1999)
SODA '99: Proceedings of the Tenth Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 893-894
-
-
Dey, T.K.1
Kumar, P.2
-
128
-
-
0038376477
-
Near-optimal parameterization of the intersection of quadrics
-
L. Dupont, D. Lazard, S. Lazard, and S. Petitjean. Near-optimal parameterization of the intersection of quadrics. In Proc. 19th Ann. Sympos. Comput. Geom., pages 246-255, 2003.
-
(2003)
Proc. 19th Ann. Sympos. Comput. Geom.
, pp. 246-255
-
-
Dupont, L.1
Lazard, D.2
Lazard, S.3
Petitjean, S.4
-
129
-
-
51249175171
-
Higher-dimensional Voronoi diagrams in linear expected time
-
R. A. Dwyer. Higher-dimensional Voronoi diagrams in linear expected time. Discrete Comput. Geom., 6:343-367, 1991.
-
(1991)
Discrete Comput. Geom.
, vol.6
, pp. 343-367
-
-
Dwyer, R.A.1
-
131
-
-
0005904188
-
Weighted alpha shapes, technical report UIUCDCS-R-92-1760
-
Univ. Illinois, Urbana, IL
-
H. Edelsbrunner. Weighted alpha shapes. Technical Report UIUCDCS-R-92-1760, Dept. Comput. Sci., Univ. Illinois, Urbana, IL, 1992.
-
(1992)
Dept Comput Sci
-
-
Edelsbrunner, H.1
-
132
-
-
2442564037
-
Surface reconstruction by wrapping finite point sets in space
-
B. Aronov, S. Basu, J. Pach, and M. Sharir, editors, Springer-Verlag
-
H. Edelsbrunner. Surface reconstruction by wrapping finite point sets in space. In B. Aronov, S. Basu, J. Pach, and M. Sharir, editors, Ricky Pollack and Eli Goodman Festschrift, pages 379-404. Springer-Verlag, 2003.
-
(2003)
Ricky Pollack and Eli Goodman Festschrift
, pp. 379-404
-
-
Edelsbrunner, H.1
-
133
-
-
25144437208
-
Biological applications of computational topology
-
J. Goodman and J. O'Rourke, editors, Chapman & Hall/CRC
-
H. Edelsbrunner. Biological applications of computational topology. In J. Goodman and J. O'Rourke, editors, CRC Handbook of Discrete and Computational Geometry, chapter 63, pages 1395-1412. Chapman & Hall/CRC, 2004.
-
(2004)
CRC Handbook of Discrete and Computational Geometry, Chapter 63
, pp. 1395-1412
-
-
Edelsbrunner, H.1
-
134
-
-
0038376464
-
Morse-Smale complexes for piecewise linear 3-manifolds
-
H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pascucci. Morse-Smale complexes for piecewise linear 3-manifolds. In Proc. 19th Ann. Sympos. Comput. Geom., pages 361-370, 2003.
-
(2003)
Proc. 19th Ann. Sympos. Comput. Geom.
, pp. 361-370
-
-
Edelsbrunner, H.1
Harer, J.2
Natarajan, V.3
Pascucci, V.4
-
135
-
-
0037971839
-
Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds
-
H. Edelsbrunner, J. Harer, and A. Zomorodian. Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Discrete Comput. Geom., 30(1): 87-107, 2003.
-
(2003)
Discrete Comput. Geom.
, vol.30
, Issue.1
, pp. 87-107
-
-
Edelsbrunner, H.1
Harer, J.2
Zomorodian, A.3
-
136
-
-
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(1):66-104, 1990.
-
(1990)
ACM Trans. Graph.
, vol.9
, Issue.1
, pp. 66-104
-
-
Edelsbrunner, H.1
Mücke, E.P.2
-
137
-
-
0028259338
-
Three-dimensional alpha shapes
-
Jan.
-
H. Edelsbrunner and E. P. Mücke. Three-dimensional alpha shapes. ACM Trans. Graph., 13(1):43-72, Jan. 1994.
-
(1994)
ACM Trans. Graph.
, vol.13
, Issue.1
, pp. 43-72
-
-
Edelsbrunner, H.1
Mücke, E.P.2
-
140
-
-
4544290536
-
Complete, exact, and efficient computations with cubic curves
-
accepted for Computational Geometry: Theory and Applications
-
A. Eigenwillig, L. Kettner, E. Scḧomer, and N. Wolpert. Complete, exact, and efficient computations with cubic curves. In Proc. 20th Annual Symposium on Computational Geometry, pages 409-418, 2004. accepted for Computational Geometry: Theory and Applications.
-
(2004)
Proc. 20th Annual Symposium on Computational Geometry
, pp. 409-418
-
-
Eigenwillig, A.1
Kettner, L.2
Scḧomer, E.3
Wolpert, N.4
-
143
-
-
33744904162
-
Symbolic-numeric tools for solving polynomial equations and applications
-
A. Dickenstein and I. Emiris, editors, Springer
-
M. Elkadi and B. Mourrain. Symbolic-numeric tools for solving polynomial equations and applications. In A. Dickenstein and I. Emiris, editors, Solving Polynomial Equations: Foundations, Algorithms, and Applications., volume 14 of Algorithms and Computation in Mathematics, pages 125-168. Springer, 2005.
-
(2005)
Solving Polynomial Equations: Foundations, Algorithms, and Applications. Volume 14 of Algorithms and Computation in Mathematics
, pp. 125-168
-
-
Elkadi, M.1
Mourrain, B.2
-
145
-
-
4544299196
-
Towards an open curved kernel
-
I. Z. Emiris, A. Kakargias, S. Pion, M. Teillaud, and E. P. Tsigaridas. Towards an open curved kernel. In Proc. 20th Ann. Sympos. Comput. Geom., pages 438-446, 2004.
-
(2004)
Proc. 20th Ann. Sympos. Comput. Geom.
, pp. 438-446
-
-
Emiris, I.Z.1
Kakargias, A.2
Pion, S.3
Teillaud, M.4
Tsigaridas, E.P.5
-
146
-
-
84867952068
-
The predicates of the apollonius diagram: Algorithmic analysis and implementation
-
I. Z. Emiris and M. I. Karavelas. The predicates of the apollonius diagram: algorithmic analysis and implementation. Computational Geometry: Theory and Applications, 33:18-57, 2006.
-
(2006)
Computational Geometry: Theory and Applications
, vol.33
, pp. 18-57
-
-
Emiris, I.Z.1
Karavelas, M.I.2
-
150
-
-
0038309092
-
Nice point sets can have nasty Delaunay triangulations
-
J. Erickson. Nice point sets can have nasty Delaunay triangulations. Discrete Comput. Geom., 30(1):109-132, 2003.
-
(2003)
Discrete Comput. Geom.
, vol.30
, Issue.1
, pp. 109-132
-
-
Erickson, J.1
-
151
-
-
84892240017
-
Dense point sets have sparse delaunay triangulations
-
J. Erickson. Dense point sets have sparse delaunay triangulations. Discrete Comput. Geom., 33:85-115, 2005.
-
(2005)
Discrete Comput. Geom.
, vol.33
, pp. 85-115
-
-
Erickson, J.1
-
155
-
-
84947935589
-
The CGAL kernel: A basis for geometric computation
-
M. C. Lin and D. Manocha, editors, Springer-Verlag
-
A. Fabri, G.-J. Giezeman, L. Kettner, S. Schirra, and S. Scḧonherr. The CGAL kernel: A basis for geometric computation. In M. C. Lin and D. Manocha, editors, Proc. 1st ACM Workshop on Appl. Comput. Geom., volume 1148 of Lecture Notes Comput. Sci., pages 191-202. Springer-Verlag, 1996.
-
(1996)
Proc. 1st ACM Workshop on Appl. Comput. Geom. Volume 1148 of Lecture Notes Comput. Sci.
, pp. 191-202
-
-
Fabri, A.1
Giezeman, G.-J.2
Kettner, L.3
Schirra, S.4
Scḧonherr, S.5
-
156
-
-
0034275639
-
On the design of CGAL a computational geometry algorithms library
-
A. Fabri, G.-J. Giezeman, L. Kettner, S. Schirra, and S. Scḧonherr. On the design of CGAL a computational geometry algorithms library. Softw.-Pract. Exp., 30(11):1167-1202, 2000.
-
(2000)
Softw.-Pract. Exp.
, vol.30
, Issue.11
, pp. 1167-1202
-
-
Fabri, A.1
Giezeman, G.-J.2
Kettner, L.3
Schirra, S.4
Scḧonherr, S.5
-
157
-
-
84990955527
-
Curves and surfaces for computer aided geometric design: A practical guide
-
G. Farin. Curves and surfaces for computer aided geometric design: a practical guide. Comp. science and sci. computing. Acad. Press, 1990.
-
(1990)
Comp. Science and Sci. Computing. Acad. Press
-
-
Farin, G.1
-
159
-
-
0033079170
-
Voronoi diagram and medial axis algorithm for planar domains with curved boundaries i. theoretical foundations
-
R. Farouki and R. Ramamurthy. Voronoi diagram and medial axis algorithm for planar domains with curved boundaries i. theoretical foundations. Journal of Computational and Applied Mathematics, 102(1):119-141, 1999.
-
(1999)
Journal of Computational and Applied Mathematics
, vol.102
, Issue.1
, pp. 119-141
-
-
Farouki, R.1
Ramamurthy, R.2
-
163
-
-
78650733596
-
The design and implementation of planar maps in CGAL
-
INRIA Sophia-Antipolis
-
E. Flato, D. Halperin, I. Hanniel, and O. Nechushtan. The design and implementation of planar maps in CGAL. In Abstracts 15th European Workshop Comput. Geom., pages 169-172. INRIA Sophia-Antipolis, 1999.
-
(1999)
Abstracts 15th European Workshop Comput. Geom.
, pp. 169-172
-
-
Flato, E.1
Halperin, D.2
Hanniel, I.3
Nechushtan, O.4
-
164
-
-
85024252699
-
The design and implementation of planar maps in CGAL
-
E. Flato, D. Halperin, I. Hanniel, O. Nechushtan, and E. Ezra. The design and implementation of planar maps in CGAL. The ACM Journal of Experimental Algorithmics, 5:1-23, 2000.
-
(2000)
The ACM Journal of Experimental Algorithmics
, vol.5
, pp. 1-23
-
-
Flato, E.1
Halperin, D.2
Hanniel, I.3
Nechushtan, O.4
Ezra, E.5
-
165
-
-
33750686393
-
-
Technical Report ECG-TR-361200-01, Tel-Aviv University, INRIA Sophia-Antipolis, MPI Saarbrücken
-
E. Fogel, D. Halperin, R. Wein, S. Pion, M. Teillaud, I. Emiris, A. Kakar-gias, E. Tsigaridas, E. Berberich, A. Eigenwillig, M. Hemmer, L. Kettner, K. Mehlhorn, E. Schomer, and N. Wolpert. An empirical comparison of software for constructing arrangements of curved arcs (preliminary version). Technical Report ECG-TR-361200-01, Tel-Aviv University, INRIA Sophia-Antipolis, MPI Saarbrücken, 2004.
-
(2004)
An Empirical Comparison of Software for Constructing Arrangements of Curved Arcs (Preliminary Version)
-
-
Fogel, E.1
Halperin, D.2
Wein, R.3
Pion, S.4
Teillaud, M.5
Emiris, I.6
Kakar-Gias, A.7
Tsigaridas, E.8
Berberich, E.9
Eigenwillig, A.10
Hemmer, M.11
Kettner, L.12
Mehlhorn, K.13
Schomer, E.14
Wolpert, N.15
-
166
-
-
4544220289
-
-
Technical Report ECG-TR-241200-01, INRIA Sophia-Antipolis
-
E. Fogel, D. Halperin, R. Wein, M. Teillaud, E. Berberich, A. Eigenwillig, S. Hert, and L. Kettner. Specification of the traits classes for CGAL arrangements of curves. Technical Report ECG-TR-241200-01, INRIA Sophia-Antipolis, 2003.
-
(2003)
Specification of the Traits Classes for CGAL Arrangements of Curves
-
-
Fogel, E.1
Halperin, D.2
Wein, R.3
Teillaud, M.4
Berberich, E.5
Eigenwillig, A.6
Hert, S.7
Kettner, L.8
-
167
-
-
35048865304
-
Code flexibility and program efficiency by genericity: Improving CGAL's arrangements
-
Springer-Verlag
-
E. Fogel, R. Wein, and D. Halperin. Code flexibility and program efficiency by genericity: Improving CGAL's arrangements. In Proc. 12th Annual European Symposium on Algorithms, pages 664-676. Springer-Verlag, 2004.
-
(2004)
Proc. 12th Annual European Symposium on Algorithms
, pp. 664-676
-
-
Fogel, E.1
Wein, R.2
Halperin, D.3
-
168
-
-
0030188659
-
Static analysis yields efficient exact integer arithmetic for computational geometry
-
July
-
S. Fortune and C. J. Van Wyk. Static analysis yields efficient exact integer arithmetic for computational geometry. ACM Trans. Graph., 15(3):223-248, July 1996.
-
(1996)
ACM Trans. Graph.
, vol.15
, Issue.3
, pp. 223-248
-
-
Fortune, S.1
Van, C.J.Wyk.2
-
170
-
-
84972511492
-
Convergence of curvatures in secant approximations
-
J. Fu. Convergence of curvatures in secant approximations. Journal of Differential Geometry, 37:177-190, 1993
-
(1993)
Journal of Differential Geometry
, vol.37
, pp. 177-190
-
-
Fu., J.1
-
171
-
-
0000412343
-
Curvature of singular spaces via the normal cycle
-
J. Fu. Curvature of singular spaces via the normal cycle. Amer. Math. Soc., 116:819-880, 1994.
-
(1994)
Amer. Math. Soc.
, vol.116
, pp. 819-880
-
-
Fu, J.1
-
172
-
-
20744450735
-
Controlled perturbations for Delaunay triangulations
-
S. Funke, C. Klein, K. Mehlhorn, and S. Schmitt. Controlled perturbations for Delaunay triangulations. In Proc. 16th ACM-SIAM Sympos. Discrete Algorithms (SODA), pages 1047-1056, 2005.
-
(2005)
Proc. 16th ACM-SIAM Sympos. Discrete Algorithms (SODA)
, pp. 1047-1056
-
-
Funke, S.1
Klein, C.2
Mehlhorn, K.3
Schmitt, S.4
-
174
-
-
84892219489
-
Smooth-surface reconstruction in near-linear time
-
S. Funke and E. A. Ramos. Smooth-surface reconstruction in near-linear time. In ACM SODA'02, pages 781-790, 2002.
-
(2002)
ACM SODA'02
, pp. 781-790
-
-
Funke, S.1
Ramos, E.A.2
-
175
-
-
0004189634
-
-
Addison-Wesley, Reading, MA
-
E. Gamma, R. Helm, R. Johnson, and J. Vlissides. Design Patterns. Addison-Wesley, Reading, MA, 1995.
-
(1995)
Design Patterns
-
-
Gamma, E.1
Helm, R.2
Johnson, R.3
Vlissides, J.4
-
177
-
-
33646164583
-
Computing the topology of three-dimensional algebraic curves
-
T. Dokken and B. Jüttler, editors, Springer-Verlag
-
G. Gatellier, A. Labrouzy, B. Mourrain, and J.-P. T́ecourt. Computing the topology of three-dimensional algebraic curves. In T. Dokken and B. Jüttler, editors, Computational Methods for Algebraic Spline Surfaces (COMPASS), pages 27-44. Springer-Verlag, 2005.
-
(2005)
Computational Methods for Algebraic Spline Surfaces (COMPASS)
, pp. 27-44
-
-
Gatellier, G.1
Labrouzy, A.2
Mourrain, B.3
T́ecourt, J.-P.4
-
178
-
-
0034819415
-
Computing a 3-dimensional cell in an arrangement of quadrics: Exactly and actually!
-
N. Geismann, M. Hemmer, and E. Scḧomer. Computing a 3-dimensional cell in an arrangement of quadrics: Exactly and actually! In Proc. 17th Ann. Sympos. Comput. Geom., pages 264-273, 2001.
-
(2001)
Proc. 17th Ann. Sympos. Comput. Geom.
, pp. 264-273
-
-
Geismann, N.1
Hemmer, M.2
Scḧomer, E.3
-
184
-
-
0038410331
-
The flow complex: A data structure for geometric modeling
-
J. Giesen and M. John. The flow complex: A data structure for geometric modeling. In ACM SODA, pages 285-294, 2003.
-
(2003)
ACM SODA
, pp. 285-294
-
-
Giesen, J.1
John, M.2
-
185
-
-
0036895253
-
Efficient topology determination of implicitly defined algebraic plane curves
-
L. Gonźalez-Vega and I. Necula. Efficient topology determination of implicitly defined algebraic plane curves. Comput. Aided Geom. Design, 19(9):719-743, 2002.
-
(2002)
Comput. Aided Geom. Design
, vol.19
, Issue.9
, pp. 719-743
-
-
Gonźalez-Vega, L.1
Necula, I.2
-
186
-
-
0002377042
-
Symbolic recipes for polynomial system solving
-
A. M. Cohen, H. Cuypers, and H. Sterk, editors, Springer
-
L. Gonźalez-Vega, F. Rouillier, and M.-F. Roy. Symbolic recipes for polynomial system solving. In A. M. Cohen, H. Cuypers, and H. Sterk, editors, Some Tapas of Computer Algebra, volume 4 of Algorithms and Computation in Mathematics, chapter 2, pages 34-65. Springer, 1999.
-
(1999)
Some Tapas of Computer Algebra Volume 4 of Algorithms and Computation in Mathematics, Chapter 2
, pp. 34-65
-
-
Gonźalez-Vega, L.1
Rouillier, F.2
Roy, M.-F.3
-
187
-
-
0032107974
-
Dynamic trees and dynamic point location
-
M. T. Goodrich and R. Tamassia. Dynamic trees and dynamic point location. SIAM J. Comput., 28:612-636, 1998.
-
(1998)
SIAM J. Comput.
, vol.28
, pp. 612-636
-
-
Goodrich, M.T.1
Tamassia, R.2
-
188
-
-
0006599005
-
Surface reconstruction based on lower dimensional localized Delaunay triangulation
-
M. Gopi, S. Krishnan, and C. Silva. Surface reconstruction based on lower dimensional localized Delaunay triangulation. In Eurographics, 2000.
-
(2000)
Eurographics
-
-
Gopi, M.1
Krishnan, S.2
Silva, C.3
-
189
-
-
33646853437
-
Boolean operations on 3d selective nef complexes: Data structure, algorithms, and implementation
-
M. Granados, P. Hachenberger, S. Hert, L. Kettner, K. Mehlhorn, and M. Seel. Boolean operations on 3d selective nef complexes: Data structure, algorithms, and implementation. In Proc. 11th European Symposium on Algorithms, pages 174-186, 2003.
-
(2003)
Proc. 11th European Symposium on Algorithms
, pp. 174-186
-
-
Granados, M.1
Hachenberger, P.2
Hert, S.3
Kettner, L.4
Mehlhorn, K.5
Seel, M.6
-
190
-
-
0034207372
-
Applications of contouring
-
T. A. Grandine. Applications of contouring. SIAM Review, 42:297-316, 2000.
-
(2000)
SIAM Review
, vol.42
, pp. 297-316
-
-
Grandine, T.A.1
-
192
-
-
84892350521
-
-
Springer-Verlag, Berlin, With contributions by Olaf Bachmann, Christoph Lossen and Hans Scḧonemann
-
G.-M. Greuel and G. Pfister. A Singular introduction to commutative algebra. Springer-Verlag, Berlin, 2002. With contributions by Olaf Bachmann, Christoph Lossen and Hans Scḧonemann.
-
(2002)
A Singular Introduction to Commutative Algebra
-
-
Greuel, G.-M.1
Pfister, G.2
-
193
-
-
28844444138
-
Evaluating derivatives: Principles and techniques of algorithmic differentiation
-
Philadelphia, PA, USA
-
A. Griewank. Evaluating derivatives: principles and techniques of algorithmic differentiation. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 2000.
-
(2000)
Society for Industrial and Applied Mathematics
-
-
Griewank, A.1
-
196
-
-
0001798952
-
Arrangements
-
J. E. Goodman and J. O'Rourke, editors, Chapman & Hall/CRC, 2nd edition
-
D. Halperin. Arrangements. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 24, pages 529-562. Chapman & Hall/CRC, 2nd edition, 2004.
-
(2004)
Handbook of Discrete and Computational Geometry, Chapter 24
, pp. 529-562
-
-
Halperin, D.1
-
197
-
-
0002370970
-
Robotics
-
J. E. Goodman and J. O'Rourke, editors, CRC Press LLC, Boca Raton, FL
-
D. Halperin, L. E. Kavraki, and J.-C. Latombe. Robotics. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 41, pages 755-778. CRC Press LLC, Boca Raton, FL, 1997.
-
(1997)
Handbook of Discrete and Computational Geometry, Chapter 41
, pp. 755-778
-
-
Halperin, D.1
Kavraki, L.E.2
Latombe, J.-C.3
-
199
-
-
0002274891
-
Spheres, molecules, and hidden surface removal
-
D. Halperin and M. H. Overmars. Spheres, molecules, and hidden surface removal. Computational Geometry: Theory and Applications, 11(2):83-102, 1998.
-
(1998)
Computational Geometry: Theory and Applications
, vol.11
, Issue.2
, pp. 83-102
-
-
Halperin, D.1
Overmars, M.H.2
-
200
-
-
0000231709
-
A perturbation scheme for spherical arrangements with application to molecular modeling
-
D. Halperin and C. R. Shelton. A perturbation scheme for spherical arrangements with application to molecular modeling. Comput. Geom. Theory Appl., 10:273-287, 1998.
-
(1998)
Comput. Geom. Theory Appl.
, vol.10
, pp. 273-287
-
-
Halperin, D.1
Shelton, C.R.2
-
201
-
-
55649099732
-
An experimental study of point location in general planar arrangements
-
To appear
-
I. Haran and D. Halperin. An experimental study of point location in general planar arrangements. In Proc. ALENEX 2006, 2006. To appear.
-
(2006)
Proc. ALENEX 2006
-
-
Haran, I.1
Halperin, D.2
-
204
-
-
78650740745
-
An adaptable and extensible geometry kernel
-
Springer-Verlag
-
S. Hert, M. Hoffmann, L. Kettner, S. Pion, and M. Seel. An adaptable and extensible geometry kernel. In Proc. Workshop on Algorithm Engineering, volume 2141 of Lecture Notes Comput. Sci., pages 79-90. Springer-Verlag, 2001.
-
(2001)
Proc. Workshop on Algorithm Engineering Volume 2141 of Lecture Notes Comput. Sci.
, pp. 79-90
-
-
Hert, S.1
Hoffmann, M.2
Kettner, L.3
Pion, S.4
Seel, M.5
-
209
-
-
33745320759
-
Hybrid motion planning: Coordinating two discs moving among polygonal obstacles in the plane
-
S. Hirsch and D. Halperin. Hybrid motion planning: Coordinating two discs moving among polygonal obstacles in the plane. In Proc. 5th Workshop on Algorithmic Foundations of Robotics, pages 225-241, 2002.
-
(2002)
Proc. 5th Workshop on Algorithmic Foundations of Robotics
, pp. 225-241
-
-
Hirsch, S.1
Halperin, D.2
-
210
-
-
31244438393
-
Improving continuity of Voronoi-based interpolation over Delaunay spheres
-
H. Hiyoshi and K. Sugihara. Improving continuity of Voronoi-based interpolation over Delaunay spheres. Comput. Geom., 22(1-3), 2002.
-
(2002)
Comput. Geom.
, vol.22
, Issue.1-3
-
-
Hiyoshi, H.1
Sugihara, K.2
-
211
-
-
0035501390
-
Real-time interference analysis between a tool and an environment
-
S. Ho, S. Sarma, and Y. Adachi. Real-time interference analysis between a tool and an environment. Computer-Aided Design, 33(13):935-947, 2001.
-
(2001)
Computer-Aided Design
, vol.33
, Issue.13
, pp. 935-947
-
-
Ho, S.1
Sarma, S.2
Adachi, Y.3
-
213
-
-
84892189889
-
-
SIGPLAN Notices
-
Reprinted in SIGPLAN Notices, 22(2):9-25, 1987.
-
(1987)
, vol.22
, Issue.2
, pp. 9-25
-
-
-
214
-
-
15844363827
-
Precise global collision detection in multi-axis machining
-
Aug
-
O. Ilushin, G. Elber, D. Halperin, R. Wein, and M.-S. Kim. Precise global collision detection in multi-axis machining. Computer-Aided Design, 37(9): 909-920, Aug 2005
-
(2005)
Computer-Aided Design
, vol.37
, Issue.9
, pp. 909-920
-
-
Ilushin, O.1
Elber, G.2
Halperin, D.3
Wein, R.4
Kim, M.-S.5
-
221
-
-
0030212126
-
Probabilistic roadmaps for path planning in high dimensional configuration spaces
-
L. E. Kavraki, P. Svestka, J.-C. Latombe, and M. H. Overmars. Probabilistic roadmaps for path planning in high dimensional configuration spaces. IEEE Trans. Robot. Autom., 12:566-580, 1996.
-
(1996)
IEEE Trans. Robot. Autom.
, vol.12
, pp. 566-580
-
-
Kavraki, L.E.1
Svestka, P.2
Latombe, J.-C.3
Overmars, M.H.4
-
222
-
-
35048841152
-
Classroom examples of robustness problems in geometric computations
-
Springer-Verlag
-
L. Kettner, K. Mehlhorn, S. Pion, S. Schirra, and C. Yap. Classroom examples of robustness problems in geometric computations. In Proc. 12th European Symposium on Algorithms, volume 3221 of Lecture Notes Comput. Sci., pages 702-713. Springer-Verlag, 2004.
-
(2004)
Proc. 12th European Symposium on Algorithms Volume 3221 of Lecture Notes Comput. Sci.
, pp. 702-713
-
-
Kettner, L.1
Mehlhorn, K.2
Pion, S.3
Schirra, S.4
Yap, C.5
-
223
-
-
27144505113
-
Two computational geometry libraries: LEDA and CGAL
-
J. E. Goodman and J. O'Rourke, editors, CRC Press LLC, Boca Raton, FL, second edition
-
L. Kettner and S. N̈aher. Two computational geometry libraries: LEDA and CGAL. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 65, pages 1435-1463. CRC Press LLC, Boca Raton, FL, second edition, 2004.
-
(2004)
Handbook of Discrete and Computational Geometry, Chapter 65
, pp. 1435-1463
-
-
Kettner, L.1
N̈aher, S.2
-
224
-
-
84867934813
-
The Safari interface for visualizing time-dependent volume data using iso-surfaces and contour spectra
-
L. Kettner, J. Rossignac, and J. Snoeyink. The Safari interface for visualizing time-dependent volume data using iso-surfaces and contour spectra. Computational Geometry: Theory and Applications, 25:97-116, 2003.
-
(2003)
Computational Geometry: Theory and Applications
, vol.25
, pp. 97-116
-
-
Kettner, L.1
Rossignac, J.2
Snoeyink, J.3
-
225
-
-
0034836611
-
A prototype system for visualizing time-dependent volume data
-
ACM Press
-
L. Kettner and J. Snoeyink. A prototype system for visualizing time-dependent volume data. In Proc. 17th Ann. Symp. Computational Geometry, pages 327-328. ACM Press, 2001.
-
(2001)
Proc. 17th Ann. Symp. Computational Geometry
, pp. 327-328
-
-
Kettner, L.1
Snoeyink, J.2
-
226
-
-
0242489294
-
ESOLID: A system for exact boundary evaluation
-
J. Keyser, T. Culver, M. Foskey, S. Krishnan, and D. Manocha. ESOLID: A system for exact boundary evaluation. Computer-Aided Design, 36(2):175-193, 2004.
-
(2004)
Computer-Aided Design
, vol.36
, Issue.2
, pp. 175-193
-
-
Keyser, J.1
Culver, T.2
Foskey, M.3
Krishnan, S.4
Manocha, D.5
-
227
-
-
0033701512
-
Efficient and exact manipulation of algebraic points and curves
-
J. Keyser, T. Culver, D. Manocha, and S. Krishnan. Efficient and exact manipulation of algebraic points and curves. Computer-Aided Design, 32(11): 649-662, 2000.
-
(2000)
Computer-Aided Design
, vol.32
, Issue.11
, pp. 649-662
-
-
Keyser, J.1
Culver, T.2
Manocha, D.3
Krishnan, S.4
-
228
-
-
24944530047
-
Pocket recognition on a protein using Euclidean Voronoi diagrams of atoms
-
D.-S. Kim, C.-H. Cho, Y. Cho, C. I. Won, and D. Kim. Pocket recognition on a protein using Euclidean Voronoi diagrams of atoms. In Proc. 3rd International Conference on Computational Science and its Applications, volume 1, pages 707-715, 2005.
-
(2005)
Proc. 3rd International Conference on Computational Science and Its Applications
, vol.1
, pp. 707-715
-
-
Kim, D.-S.1
Cho, C.-H.2
Cho, Y.3
Won, C.I.4
Kim, D.5
-
229
-
-
24944494980
-
Visualization and analysis of protein structures using Euclidean Voronoi diagrams of atoms
-
D.-S. Kim, D. Kim, Y. Cho, J. Ryu, C.-H. Cho, J. Y. Park, and H.-C. Lee. Visualization and analysis of protein structures using Euclidean Voronoi diagrams of atoms. In Proc. 3rd International Conference on Computational Science and its Applications, volume 1, pages 993-1002, 2005.
-
(2005)
Proc. 3rd International Conference on Computational Science and Its Applications
, vol.1
, pp. 993-1002
-
-
Kim, D.-S.1
Kim, D.2
Cho, Y.3
Ryu, J.4
Cho, C.-H.5
Park, J.Y.6
Lee, H.-C.7
-
232
-
-
0010268561
-
Randomized incremental construction of abstract Voronoi diagrams
-
R. Klein, K. Mehlhorn, and S. Meiser. Randomized incremental construction of abstract Voronoi diagrams. Comput. Geom. Theory Appl., 3(3):157-184, 1993.
-
(1993)
Comput. Geom. Theory Appl.
, vol.3
, Issue.3
, pp. 157-184
-
-
Klein, R.1
Mehlhorn, K.2
Meiser, S.3
-
233
-
-
29644432370
-
New bounds for the descartes method
-
Jan
-
W. Krandick and K. Mehlhorn. New bounds for the descartes method. J. of Symb. Comp., 41(1), Jan 2006.
-
(2006)
J. of Symb. Comp.
, vol.41
, Issue.1
-
-
Krandick, W.1
Mehlhorn, K.2
-
234
-
-
0030730613
-
An efficient intersection algorithm based on lower dimensional formulation
-
S. Krishnan and D. Manocha. An efficient intersection algorithm based on lower dimensional formulation. ACM Transactions on Computer Graphics, 16:74-106, 1997.
-
(1997)
ACM Transactions on Computer Graphics
, vol.16
, pp. 74-106
-
-
Krishnan, S.1
Manocha, D.2
-
235
-
-
0038038274
-
Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation
-
ACM Press
-
F. Labelle and J. Shewchuk. Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation. In Proc. 19th Ann. Symposium on Computational Geometry, pages 191-200. ACM Press, 2003.
-
(2003)
Proc. 19th Ann. Symposium on Computational Geometry
, pp. 191-200
-
-
Labelle, F.1
Shewchuk, J.2
-
236
-
-
0019668976
-
Bounds on a polynomial
-
J. M. Lane and R. F. Riesenfeld. Bounds on a polynomial. BIT, 21(1):112-117, 1981.
-
(1981)
BIT
, vol.21
, Issue.1
, pp. 112-117
-
-
Lane, J.M.1
Riesenfeld, R.F.2
-
237
-
-
0003956970
-
-
Addison-Wesley
-
S. Lang. Algebra. Addison-Wesley, 1980.
-
(1980)
Algebra
-
-
Lang, S.1
-
240
-
-
0033720729
-
Delaunay triangulations and Voronoi diagrams for Riemannian manifolds
-
G. Leibon and D. Letscher. Delaunay triangulations and Voronoi diagrams for Riemannian manifolds. In Proc. 16th Ann. Sympos. Comput. Geom., pages 341-349, 2000.
-
(2000)
Proc. 16th Ann. Sympos. Comput. Geom.
, pp. 341-349
-
-
Leibon, G.1
Letscher, D.2
-
242
-
-
0017006445
-
Algorithm for drawing pictures of solid objects composed of quadratic surfaces
-
Oct.
-
J. Levin. Algorithm for drawing pictures of solid objects composed of quadratic surfaces. Commun. ACM, 19(10):555-563, Oct. 1976.
-
(1976)
Commun. ACM
, vol.19
, Issue.10
, pp. 555-563
-
-
Levin, J.1
-
244
-
-
2942755983
-
n has the same homotopy type than its medial axis
-
n has the same homotopy type than its medial axis. Computer-Aided Design, 11(36):1029-1046, 2004.
-
(2004)
Computer-Aided Design
, vol.11
, Issue.36
, pp. 1029-1046
-
-
Lieutier, A.1
-
245
-
-
0023381475
-
Marching cubes: A high resolution 3d surface construction algorithm
-
W. E. Lorensen and H. E. Cline. Marching cubes: A high resolution 3d surface construction algorithm. SIGGRAPH Comput. Graph., 21(4):163-169, 1987.
-
(1987)
SIGGRAPH Comput. Graph.
, vol.21
, Issue.4
, pp. 163-169
-
-
Lorensen, W.E.1
Cline, H.E.2
-
246
-
-
84892335020
-
A new development of the Voronoi-Delaunay technique for analysis of pores in packings of non-spherical objects and in packings confined in containers
-
V. Luchnikov, M. Gavrilova, and N. Medvedev. A new development of the Voronoi-Delaunay technique for analysis of pores in packings of non-spherical objects and in packings confined in containers. In Proc. of the 21st Int. Conference on Applied Physics, volume 1, pages 273-275, 2001.
-
(2001)
Proc. of the 21st Int. Conference on Applied Physics
, vol.1
, pp. 273-275
-
-
Luchnikov, V.1
Gavrilova, M.2
Medvedev, N.3
-
248
-
-
33745987158
-
On the resolution of a given modular system into primary systems including some properties of Hilbert numbers
-
F. S. Macaulay. On the resolution of a given modular system into primary systems including some properties of Hilbert numbers. Math. Ann., 74(1): 66-121, 1913.
-
(1913)
Math. Ann.
, vol.74
, Issue.1
, pp. 66-121
-
-
Macaulay, F.S.1
-
249
-
-
84974720889
-
Intersecting red and blue line segments in optimal time and precision
-
J. Akiyama, M. Kano, and M. Urabe, editors, Tokyo, Japan, November, 22-25, 2000, Revised Papers volume 2098 of Lecture Notes in Computer Science, Springer
-
A. Mantler and J. Snoeyink. Intersecting red and blue line segments in optimal time and precision. In J. Akiyama, M. Kano, and M. Urabe, editors, Discrete and Computational Geometry, Japanese Conference, JCDCG 2000, Tokyo, Japan, November, 22-25, 2000, Revised Papers, volume 2098 of Lecture Notes in Computer Science, pages 244-251. Springer, 2001.
-
(2001)
Discrete and Computational Geometry, Japanese Conference, JCDCG 2000
, pp. 244-251
-
-
Mantler, A.1
Snoeyink, J.2
-
254
-
-
85050517685
-
Molecular surfaces
-
K. B. Lipkowitz and D. B. Boyd, editors, VCH Publishers
-
P. G. Mezey. Molecular surfaces. In K. B. Lipkowitz and D. B. Boyd, editors, Reviews in Computational Chemistry, volume 1. VCH Publishers, 1990.
-
(1990)
Reviews in Computational Chemistry
, vol.1
-
-
Mezey, P.G.1
-
256
-
-
0004190360
-
-
Princeton University Press, Princeton, NJ
-
J. W. Milnor. Morse Theory. Princeton University Press, Princeton, NJ, 1963.
-
(1963)
Morse Theory
-
-
Milnor, J.W.1
-
257
-
-
0002699335
-
Shortest paths and networks
-
J. E. Goodman and J. O'Rourke, editors, CRC Press LLC, Boca Raton, FL
-
J. S. B. Mitchell. Shortest paths and networks. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 24, pages 445-466. CRC Press LLC, Boca Raton, FL, 1997.
-
(1997)
Handbook of Discrete and Computational Geometry, Chapter 24
, pp. 445-466
-
-
Mitchell, J.S.B.1
-
258
-
-
0004293209
-
-
Prentice Hall, Englewood Cliffs, NJ
-
R. E. Moore. Interval Analysis. Prentice Hall, Englewood Cliffs, NJ, 1966.
-
(1966)
Interval Analysis
-
-
Moore, R.E.1
-
260
-
-
0036037995
-
Smooth surface and triangular mesh: Comparison of the area, the normals and the unfolding
-
J.-M. Morvan and B. Thibert. Smooth surface and triangular mesh: Comparison of the area, the normals and the unfolding. In ACM Symposium on Solid Modeling and Applications, pages 147-158, 2002.
-
(2002)
ACM Symposium on Solid Modeling and Applications
, pp. 147-158
-
-
Morvan, J.-M.1
Thibert, B.2
-
261
-
-
4744370353
-
Approximation of the normal vector field and the area of a smooth surface
-
J.-M. Morvan and B. Thibert. Approximation of the normal vector field and the area of a smooth surface. Discrete & Computational Geometry, 32(3): 383-400, 2004.
-
(2004)
Discrete & Computational Geometry
, vol.32
, Issue.3
, pp. 383-400
-
-
Morvan, J.-M.1
Thibert, B.2
-
263
-
-
33748958202
-
Bernstein's basis and real root isolation
-
J. E. Goodman, J. Pach, and E. Welzl, editors, Cambridge University Press
-
B. Mourrain, F. Rouillier, and M.-F. Roy. Bernstein's basis and real root isolation. In J. E. Goodman, J. Pach, and E. Welzl, editors, Combinatorial and Computational Geometry, Mathematical Sciences Research Institute Publications, pages 459-478. Cambridge University Press, 2005.
-
(2005)
Combinatorial and Computational Geometry, Mathematical Sciences Research Institute Publications
, pp. 459-478
-
-
Mourrain, B.1
Rouillier, F.2
Roy, M.-F.3
-
268
-
-
33748980671
-
Generalised normal forms and polynomial system solving
-
M. Kauers, editor, New-York, ACM Press.
-
B. Mourrain and P. Tŕebuchet. Generalised normal forms and polynomial system solving. In M. Kauers, editor, Proc. Intern. Symp. on Symbolic and Algebraic Computation, pages 253-260. New-York, ACM Press., 2005.
-
(2005)
Proc. Intern. Symp. on Symbolic and Algebraic Computation
, pp. 253-260
-
-
Mourrain, B.1
Tŕebuchet, P.2
-
269
-
-
0036289713
-
On the complexity of isolating real roots and computing with certainty the topological degree
-
B. Mourrain, M. Vrahatis, and J. Yakoubsohn. On the complexity of isolating real roots and computing with certainty the topological degree. J. of Complexity, 18(2):612-640, 2002.
-
(2002)
J. of Complexity
, vol.18
, Issue.2
, pp. 612-640
-
-
Mourrain, B.1
Vrahatis, M.2
Yakoubsohn, J.3
-
270
-
-
34250177545
-
A fast planar partition algorithm
-
K. Mulmuley. A fast planar partition algorithm, I. J. Symbolic Comput., 10(3-4):253-280, 1990.
-
(1990)
I J Symbolic Comput
, vol.10
, Issue.3-4
, pp. 253-280
-
-
Mulmuley, K.1
-
271
-
-
0025742220
-
A fast planar partition algorithm, II
-
K. Mulmuley. A fast planar partition algorithm, II. J. ACM, 38:74-103, 1991.
-
(1991)
J. ACM
, vol.38
, pp. 74-103
-
-
Mulmuley, K.1
-
273
-
-
0041522587
-
A new and useful template technique
-
N. Myers. Traits: A new and useful template technique. C++ Report, 7(5): 32-35, 1995.
-
(1995)
C++ Report
, vol.7
, Issue.5
, pp. 32-35
-
-
Myers. Traits, N.1
-
274
-
-
0242401829
-
Automatic generation of staged geometric predicates
-
Dec.
-
A. Nanevski, G. Blelloch, and R. Harper. Automatic generation of staged geometric predicates. Higher-Order and Symbolic Computation, 16(4):379-400, Dec. 2003.
-
(2003)
Higher-Order and Symbolic Computation
, vol.16
, Issue.4
, pp. 379-400
-
-
Nanevski, A.1
Blelloch, G.2
Harper, R.3
-
275
-
-
84892351533
-
Beitr̈age zur Theorie der Polyeder
-
W. Nef. Beitr̈age zur Theorie der Polyeder. Herbert Lang, Bern, 1978.
-
(1978)
Herbert Lang Bern
-
-
Nef, W.1
-
276
-
-
34748864359
-
A retraction method for planning the motion of a disk
-
C. O'Dúnlaing and C. K. Yap. A "retraction" method for planning the motion of a disk. J. Algorithms, 6:104-111, 1985.
-
(1985)
J. Algorithms
, vol.6
, pp. 104-111
-
-
O'Dúnlaing, C.1
Yap, C.K.2
-
277
-
-
0003760944
-
-
John Wiley & Sons, Chichester, UK
-
A. Okabe, B. Boots, and K. Sugihara. Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. John Wiley & Sons, Chichester, UK, 1992.
-
(1992)
Spatial Tessellations: Concepts and Applications of Voronoi Diagrams
-
-
Okabe, A.1
Boots, B.2
Sugihara, K.3
-
282
-
-
0035391191
-
Regular and non-regular point sets: Properties and reconstruction
-
S. Petitjean and E. Boyer. Regular and non-regular point sets: Properties and reconstruction. Comput. Geom. Theory Appl., 19:101-126, 2001.
-
(2001)
Comput. Geom. Theory Appl.
, vol.19
, pp. 101-126
-
-
Petitjean, S.1
Boyer, E.2
-
284
-
-
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, pages 99-110, 1999.
-
(1999)
Workshop on Applications of Interval Analysis to Systems and Control
, pp. 99-110
-
-
Pion, S.1
-
285
-
-
4544343798
-
-
Technical Report ECG-TR-302206-01, MPI Saarbrücken, INRIA Sophia-Antipolis
-
S. Pion and M. Teillaud. Towards a CGAL-like kernel for curves. Technical Report ECG-TR-302206-01, MPI Saarbrücken, INRIA Sophia-Antipolis, 2003.
-
(2003)
Towards A CGAL-like Kernel for Curves
-
-
Pion, S.1
Teillaud, M.2
-
286
-
-
0038714749
-
Constructive root bound for k-ary rational input numbers
-
S. Pion and C. K. Yap. Constructive root bound for k-ary rational input numbers. In Proc. 19th Ann. Sympos. Comput. Geom., pages 256-263, 2003.
-
(2003)
Proc. 19th Ann. Sympos. Comput. Geom.
, pp. 256-263
-
-
Pion, S.1
Yap, C.K.2
-
287
-
-
77954474109
-
Isotopic approximation of implicit curves and surfaces
-
New York, NY, USA, ACM Press
-
S. Plantinga and G. Vegter. Isotopic approximation of implicit curves and surfaces. In SGP '04: Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, pages 245-254, New York, NY, USA, 2004. ACM Press.
-
SGP '04: Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing
, Issue.2004
, pp. 245-254
-
-
Plantinga, S.1
Vegter, G.2
-
290
-
-
0030736927
-
Hexahedral mesh generation by medial surface subdivision: Part II, solids with flat and concave edges
-
M. A. Price and C. G. Armstrong. Hexahedral mesh generation by medial surface subdivision: Part II, solids with flat and concave edges. International Journal for Numerical Methods in Engineering, 40:111-136, 1997.
-
(1997)
International Journal for Numerical Methods in Engineering
, vol.40
, pp. 111-136
-
-
Price, M.A.1
Armstrong, C.G.2
-
291
-
-
0029392939
-
Hexahedral mesh generation by medial surface subdivision: Part I, solids with convex edges
-
M. A. Price, C. G. Armstrong, and M. A. Sabin. Hexahedral mesh generation by medial surface subdivision: Part I, solids with convex edges. International Journal for Numerical Methods in Engineering, 38(19):3335-3359, 1995.
-
(1995)
International Journal for Numerical Methods in Engineering
, vol.38
, Issue.19
, pp. 3335-3359
-
-
Price, M.A.1
Armstrong, C.G.2
Sabin, M.A.3
-
292
-
-
0025436383
-
Skip lists: A probabilistic alternative to balanced trees
-
W. Pugh. Skip lists: a probabilistic alternative to balanced trees. Commun. ACM, 33(6):668-676, 1990.
-
(1990)
Commun. ACM
, vol.33
, Issue.6
, pp. 668-676
-
-
Pugh, W.1
-
293
-
-
0032660258
-
Controlled perturbation for arrangements of polyhedral surfaces with application to swept volumes
-
S. Raab. Controlled perturbation for arrangements of polyhedral surfaces with application to swept volumes. In Proc. 15th Ann. Symposium on Computational Geometry, pages 163-172, 1999.
-
(1999)
Proc. 15th Ann. Symposium on Computational Geometry
, pp. 163-172
-
-
Raab, S.1
-
294
-
-
0001647901
-
Sur les points singuliers d'une forme de Pfaff compl̀etement int́egrable ou d'une fonction nuḿerique
-
G. Reeb. Sur les points singuliers d'une forme de Pfaff compl̀etement int́egrable ou d'une fonction nuḿerique. Comptes Rendus Acad. Sciences Paris, 222: 847-849, 1946.
-
(1946)
Comptes Rendus Acad. Sciences Paris
, vol.222
, pp. 847-849
-
-
Reeb, G.1
-
295
-
-
0017429069
-
Areas volumes packing, and protein structure
-
F. M. Richards. Areas, volumes, packing, and protein structure. Annu. Rev. Biophys. Bioeng., 6:151-176, 1977.
-
(1977)
Annu. Rev. Biophys. Bioeng.
, vol.6
, pp. 151-176
-
-
Richards, F.M.1
-
298
-
-
0002351074
-
Sgc: A dimension-independent model for pointsets with internal structures and incomplete boundaries
-
M. Wozny, J. Turner, and K. Preiss, editors, North-Holland
-
J. Rossignac and M. O'Connor. Sgc: A dimension-independent model for pointsets with internal structures and incomplete boundaries. In M. Wozny, J. Turner, and K. Preiss, editors, Geometric Modeling for Product Engineering. North-Holland, 1989.
-
(1989)
Geometric Modeling for Product Engineering
-
-
Rossignac, J.1
O'Connor, M.2
-
299
-
-
0033131339
-
Solving zero-dimensional polynomial systems throuhg Rational Univariate Representation
-
F. Rouillier. Solving zero-dimensional polynomial systems throuhg Rational Univariate Representation. App. Alg. in Eng. Com. Comp., 9(5):433-461, 1999.
-
(1999)
App. Alg. in Eng. Com. Comp.
, vol.9
, Issue.5
, pp. 433-461
-
-
Rouillier, F.1
-
302
-
-
33750726614
-
A Delaunay refinement algorithm for quality 2-dimensional mesh generation
-
J. Ruppert. A Delaunay refinement algorithm for quality 2-dimensional mesh generation. J. Algorithms, 18:548-585, 1995.
-
(1995)
J. Algorithms
, vol.18
, pp. 548-585
-
-
Ruppert, J.1
-
303
-
-
0037703597
-
Ambient isotopic approximations for surface reconstruction and interval solids
-
New York, NY, USA, ACM Press
-
T. Sakkalis and T. J. Peters. Ambient isotopic approximations for surface reconstruction and interval solids. In SM '03: Proceedings of the eighth ACM symposium on Solid modeling and applications, pages 176-184, New York, NY, USA, 2003. ACM Press.
-
(2003)
SM '03: Proceedings of the Eighth ACM Symposium on Solid Modeling and Applications
, pp. 176-184
-
-
Sakkalis, T.1
Peters, T.J.2
-
306
-
-
0012075054
-
Robustness and precision issues in geometric computation
-
J.-R. Sack and J. Urrutia, editors, Elsevier Science Publishers B.V. North-Holland, Amsterdam
-
S. Schirra. Robustness and precision issues in geometric computation. In J.-R. Sack and J. Urrutia, editors, Handbook of Computational Geometry, chapter 14, pages 597-632. Elsevier Science Publishers B.V. North-Holland, Amsterdam, 2000.
-
(2000)
Handbook of Computational Geometry, Chapter 14
, pp. 597-632
-
-
Schirra, S.1
-
309
-
-
4544334640
-
-
Research Report MPI-I-2001-1-003, Max-Planck-Institut für Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany, August
-
M. Seel. Implementation of planar Nef polyhedra. Research Report MPI-I-2001-1-003, Max-Planck-Institut für Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany, August 2001.
-
(2001)
Implementation of Planar Nef Polyhedra
-
-
Seel, M.1
-
312
-
-
51249166297
-
Almost tight upper bounds for lower envelopes in higher dimensions
-
M. Sharir. Almost tight upper bounds for lower envelopes in higher dimensions. Discrete Comput. Geom., 12:327-345, 1994.
-
(1994)
Discrete Comput. Geom.
, vol.12
, pp. 327-345
-
-
Sharir, M.1
-
315
-
-
4243617281
-
-
M.Sc. thesis, School of Computer Science, Tel Aviv University, Tel Aviv, Israel
-
H. Shaul. Improved output-sensitive construction of vertical decompositions of triangles in three-dimensional space. M.Sc. thesis, School of Computer Science, Tel Aviv University, Tel Aviv, Israel, 2001.
-
(2001)
Improved Output-sensitive Construction of Vertical Decompositions of Triangles in Three-dimensional Space
-
-
Shaul, H.1
-
316
-
-
0036361483
-
Improved construction of vertical decompositions of three-dimensional arrangements
-
H. Shaul and D. Halperin. Improved construction of vertical decompositions of three-dimensional arrangements. In Proc. 18th Ann. Sympos. Comput. Geom., pages 283-292, 2002.
-
(2002)
Proc. 18th Ann. Sympos. Comput. Geom.
, pp. 283-292
-
-
Shaul, H.1
Halperin, D.2
-
317
-
-
0034270116
-
Hexahedral meshing of non-linear volumes using Voronoi faces and edges
-
A. Sheffer and M. Bercovier. Hexahedral meshing of non-linear volumes using Voronoi faces and edges. Numerical Methods in Engineering, 49(1):329-351, 2000.
-
(2000)
Numerical Methods in Engineering
, vol.49
, Issue.1
, pp. 329-351
-
-
Sheffer, A.1
Bercovier, M.2
-
319
-
-
0003043803
-
A brief description of natural neighbour interpolation
-
V. Barnet, editor, John Wiley & Sons, Chich-ester
-
R. Sibson. A brief description of natural neighbour interpolation. In V. Barnet, editor, Interpreting Multivariate Data, pages 21-36. John Wiley & Sons, Chich-ester, 1981.
-
(1981)
Interpreting Multivariate Data
, pp. 21-36
-
-
Sibson, R.1
-
320
-
-
0000028545
-
Anisotropic mesh transformations and optimal error control
-
New York, NY, USA, Elsevier North-Holland, Inc
-
R. B. Simpson. Anisotropic mesh transformations and optimal error control. In Proceedings of the third ARO workshop on Adaptive methods for partial differential equations, pages 183-198, New York, NY, USA, 1994. Elsevier North-Holland, Inc.
-
(1994)
Proceedings of the Third ARO Workshop on Adaptive Methods for Partial Differential Equations
, pp. 183-198
-
-
Simpson, R.B.1
-
321
-
-
0000725045
-
On gradient dynamical systems
-
S. Smale. On gradient dynamical systems. Ann. of Math., 74:199-206, 1961.
-
(1961)
Ann. of Math.
, vol.74
, pp. 199-206
-
-
Smale, S.1
-
323
-
-
0026889111
-
Interval analysis for computer graphics
-
J. M. Snyder. Interval analysis for computer graphics. SIGGRAPH Comput. Graph., 26(2):121-130, 1992.
-
(1992)
SIGGRAPH Comput. Graph.
, vol.26
, Issue.2
, pp. 121-130
-
-
Snyder, J.M.1
-
325
-
-
0030657239
-
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
-
Annual Conference Series
-
B. T. Stander and J. C. Hart. Guaranteeing the topology of an implicit surface polygonization for interactive modeling. Computer Graphics, 31(Annual Conference Series):279-286, 1997
-
(1997)
Computer Graphics
, vol.31
, pp. 279-286
-
-
Stander, B.T.1
Hart, J.C.2
-
327
-
-
0030489482
-
A new technique for analyzing substructures in arrangements of piecewise linear surfaces
-
B. Tagansky. A new technique for analyzing substructures in arrangements of piecewise linear surfaces. Discrete Comput. Geom., 16:455-479, 1996.
-
(1996)
Discrete Comput. Geom.
, vol.16
, pp. 455-479
-
-
Tagansky, B.1
-
330
-
-
0002000614
-
Computational topology
-
J. Goodman and J. O'Rourke, editors, Chapman & Hall/CRC
-
G. Vegter. Computational topology. In J. Goodman and J. O'Rourke, editors, CRC Handbook of Discrete and Computational Geometry, chapter 32, pages 719-742. Chapman & Hall/CRC, 2004.
-
(2004)
CRC Handbook of Discrete and Computational Geometry, Chapter 32
, pp. 719-742
-
-
Vegter, G.1
-
333
-
-
84892348747
-
-
M.Sc. thesis, School of Computer Science, Tel Aviv University, Tel Aviv, Israel
-
R. Wein. High-level filtering for arrangements of conic arcs. M.Sc. thesis, School of Computer Science, Tel Aviv University, Tel Aviv, Israel, 2002.
-
(2002)
High-level Filtering for Arrangements of Conic Arcs
-
-
Wein, R.1
-
334
-
-
78149238912
-
Advanced programming techniques applied to Cgal's arrangements
-
October
-
R. Wein, E. Fogel, B. Zukerman, and D. Halperin. Advanced programming techniques applied to Cgal's arrangements. In Proc. Workshop on Library-Centric Software Design (LCSD 2005), at the Object-Oriented Programming, Systems, Languages and Applications (OOPSLA) Conference., October 2005.
-
(2005)
Proc. Workshop on Library-Centric Software Design (LCSD 2005), at the Object-Oriented Programming, Systems, Languages and Applications (OOPSLA) Conference
-
-
Wein, R.1
Fogel, E.2
Zukerman, B.3
Halperin, D.4
-
336
-
-
4544258067
-
Continuous path verification in multi-axis nc-machining
-
R. Wein, O. Ilushin, G. Elber, and D. Halperin. Continuous path verification in multi-axis nc-machining. In Proc. 20th Annual Symposium on Computational Geometry, pages 86-95, 2004.
-
(2004)
Proc. 20th Annual Symposium on Computational Geometry
, pp. 86-95
-
-
Wein, R.1
Ilushin, O.2
Elber, G.3
Halperin, D.4
-
339
-
-
0004234548
-
-
Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont.
-
H. Whitney. Complex analytic varieties. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1972.
-
(1972)
Complex Analytic Varieties
-
-
Whitney, H.1
-
340
-
-
84957665294
-
Fast and efficient computation of additively weighted Voronoi cells for applications in molecular biology
-
Springer-Verlag
-
H.-M. Will. Fast and efficient computation of additively weighted Voronoi cells for applications in molecular biology. In Proc. 6th Scand. Workshop Algorithm Theory, volume 1432 of Lecture Notes Comput. Sci., pages 310-321. Springer-Verlag, 1998.
-
(1998)
Proc. 6th Scand. Workshop Algorithm Theory Volume 1432 of Lecture Notes Comput. Sci.
, pp. 310-321
-
-
Will, H.-M.1
-
342
-
-
0142214919
-
Jacobi curves: Computing the exact topology of non-singular algebraic curves
-
G. D. Battista and U. Zwick, editors
-
N. Wolpert. Jacobi curves: Computing the exact topology of non-singular algebraic curves. In G. D. Battista and U. Zwick, editors, Proc. 11th European Symposium on Algorithms, Lecture Notes Comput. Sci., pages 532-543, 2003.
-
(2003)
Proc. 11th European Symposium on Algorithms, Lecture Notes Comput. Sci.
, pp. 532-543
-
-
Wolpert, N.1
-
343
-
-
0000238022
-
Data structure for soft objects
-
February
-
G. Wyvill, C. McPheeters, and B. Wyvill. Data structure for soft objects. The Visual Computer, 2(4):227-234, February 1986.
-
(1986)
The Visual Computer
, vol.2
, Issue.4
, pp. 227-234
-
-
Wyvill, G.1
McPheeters, C.2
Wyvill, B.3
-
344
-
-
0002125694
-
Towards exact geometric computation
-
C. Yap. Towards exact geometric computation. Comput. Geom. Theory Appl., 7(1):3-23, 1997.
-
(1997)
Comput. Geom. Theory Appl.
, vol.7
, Issue.1
, pp. 3-23
-
-
Yap, C.1
-
345
-
-
85000312610
-
Symbolic treatment of geometric degeneracies
-
C. K. Yap. Symbolic treatment of geometric degeneracies. J. Symbolic Com-put., 10:349-370, 1990.
-
(1990)
J. Symbolic Com-put.
, vol.10
, pp. 349-370
-
-
Yap, C.K.1
-
347
-
-
17644369824
-
Robust geomtric computation
-
J. E. Goodman and J. O'Rourke, editors, Chapman & Hall/CRC, 2nd edition
-
C. K. Yap. Robust geomtric computation. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 41, pages 927-952. Chapman & Hall/CRC, 2nd edition, 2004.
-
(2004)
Handbook of Discrete and Computational Geometry, Chapter 41
, pp. 927-952
-
-
Yap, C.K.1
-
348
-
-
0040984392
-
On the general structure of a generic central set
-
Y. Yomdin. On the general structure of a generic central set. Compositio Math., 43:225-238, 1981.
-
(1981)
Compositio Math.
, vol.43
, pp. 225-238
-
-
Yomdin, Y.1
-
349
-
-
34547747606
-
2-phase approach to global tool interference avoidance in 5-axis machining
-
L. Yuan-Shin and C. Tien-Chien. 2-phase approach to global tool interference avoidance in 5-axis machining. Computer-Aided Design, 27(10):715-729, 1995.
-
(1995)
Computer-Aided Design
, vol.27
, Issue.10
, pp. 715-729
-
-
Yuan-Shin, L.1
Tien-Chien, C.2
-
350
-
-
0000182794
-
Integral and current representations of federer's curvature measures
-
M. Z̈ahle. Integral and current representations of federer's curvature measures. Arch. Math. (Basel), 46:557-567, 1986.
-
(1986)
Arch. Math. (Basel)
, vol.46
, pp. 557-567
-
-
Z̈ahle, M.1
|