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46 Publications
2002 | Published | Journal Article | IST-REx-ID: 3996
Topological persistence and simplification
H. Edelsbrunner, D. Letscher, A. Zomorodian, Discrete & Computational Geometry 28 (2002) 511–533.
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H. Edelsbrunner, D. Letscher, A. Zomorodian, Discrete & Computational Geometry 28 (2002) 511–533.
2001 | Published | Journal Article | IST-REx-ID: 2419
A continuous analogue of the Upper Bound Theorem
U. Wagner, E. Welzl, Discrete & Computational Geometry 26 (2001) 205–219.
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U. Wagner, E. Welzl, Discrete & Computational Geometry 26 (2001) 205–219.
2001 | Published | Journal Article | IST-REx-ID: 4007
Dynamic skin triangulation
H. Cheng, T. Dey, H. Edelsbrunner, J. Sullivan, Discrete & Computational Geometry 25 (2001) 525–568.
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H. Cheng, T. Dey, H. Edelsbrunner, J. Sullivan, Discrete & Computational Geometry 25 (2001) 525–568.
2000 | Published | Journal Article | IST-REx-ID: 4004
Edgewise subdivision of a simplex
H. Edelsbrunner, D. Grayson, Discrete & Computational Geometry 24 (2000) 707–719.
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H. Edelsbrunner, D. Grayson, Discrete & Computational Geometry 24 (2000) 707–719.
1999 | Published | Journal Article | IST-REx-ID: 4014
Deformable smooth surface design
H. Edelsbrunner, Discrete & Computational Geometry 21 (1999) 87–115.
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H. Edelsbrunner, Discrete & Computational Geometry 21 (1999) 87–115.
1997 | Published | Journal Article | IST-REx-ID: 4022
Cutting dense point sets in half
H. Edelsbrunner, P. Valtr, E. Welzl, Discrete & Computational Geometry 17 (1997) 243–255.
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H. Edelsbrunner, P. Valtr, E. Welzl, Discrete & Computational Geometry 17 (1997) 243–255.
1997 | Published | Journal Article | IST-REx-ID: 4023
Inclusion-exclusion complexes for pseudodisk collections
H. Edelsbrunner, E. Ramos, Discrete & Computational Geometry 17 (1997) 287–306.
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H. Edelsbrunner, E. Ramos, Discrete & Computational Geometry 17 (1997) 287–306.
1995 | Published | Journal Article | IST-REx-ID: 4028 | 
The union of balls and its dual shape
H. Edelsbrunner, Discrete & Computational Geometry 13 (1995) 415–440.
[Published Version]
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H. Edelsbrunner, Discrete & Computational Geometry 13 (1995) 415–440.
1995 | Published | Journal Article | IST-REx-ID: 4035
Improved bounds on weak ε-nets for convex sets
B. Chazelle, H. Edelsbrunner, M. Grigni, L. Guibas, M. Sharir, E. Welzl, Discrete & Computational Geometry 13 (1995) 1–15.
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B. Chazelle, H. Edelsbrunner, M. Grigni, L. Guibas, M. Sharir, E. Welzl, Discrete & Computational Geometry 13 (1995) 1–15.
1994 | Published | Journal Article | IST-REx-ID: 4032
Counting triangle crossings and halving planes
T. Dey, H. Edelsbrunner, Discrete & Computational Geometry 12 (1994) 281–289.
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T. Dey, H. Edelsbrunner, Discrete & Computational Geometry 12 (1994) 281–289.
1993 | Published | Journal Article | IST-REx-ID: 4040
An upper bound for conforming Delaunay triangulations
H. Edelsbrunner, T. Tan, Discrete & Computational Geometry 10 (1993) 197–213.
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H. Edelsbrunner, T. Tan, Discrete & Computational Geometry 10 (1993) 197–213.
1993 | Published | Journal Article | IST-REx-ID: 4044
Edge insertion for optimal triangulations
M. Bern, H. Edelsbrunner, D. Eppstein, S. Mitchell, T. Tan, Discrete & Computational Geometry 10 (1993) 47–65.
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M. Bern, H. Edelsbrunner, D. Eppstein, S. Mitchell, T. Tan, Discrete & Computational Geometry 10 (1993) 47–65.
1993 | Published | Journal Article | IST-REx-ID: 4045
Diameter, width, closest line pair, and parametric searching
B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, Discrete & Computational Geometry 10 (1993) 183–196.
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B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, Discrete & Computational Geometry 10 (1993) 183–196.
1991 | Published | Journal Article | IST-REx-ID: 4061 |
Euclidean minimum spanning trees and bichromatic closest pairs
P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, E. Welzl, Discrete & Computational Geometry 6 (1991) 407–422.
[Published Version]
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P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, E. Welzl, Discrete & Computational Geometry 6 (1991) 407–422.
1991 | Published | Journal Article | IST-REx-ID: 4062 |
Points and triangles in the plane and halving planes in space
B. Aronov, B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, R. Wenger, Discrete & Computational Geometry 6 (1991) 435–442.
[Published Version]
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B. Aronov, B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, R. Wenger, Discrete & Computational Geometry 6 (1991) 435–442.
1990 | Published | Journal Article | IST-REx-ID: 4066
The complexity of many cells in arrangements of planes and related problems
H. Edelsbrunner, L. Guibas, M. Sharir, Discrete & Computational Geometry 5 (1990) 197–216.
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H. Edelsbrunner, L. Guibas, M. Sharir, Discrete & Computational Geometry 5 (1990) 197–216.
1990 | Published | Journal Article | IST-REx-ID: 4068
The maximum number of ways to stabn convex nonintersecting sets in the plane is 2n−2
H. Edelsbrunner, M. Sharir, Discrete & Computational Geometry 5 (1990) 35–42.
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H. Edelsbrunner, M. Sharir, Discrete & Computational Geometry 5 (1990) 35–42.
1990 | Published | Journal Article | IST-REx-ID: 4072
The complexity and construction of many faces in arrangements of lines and of segments
H. Edelsbrunner, L. Guibas, M. Sharir, Discrete & Computational Geometry 5 (1990) 161–196.
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H. Edelsbrunner, L. Guibas, M. Sharir, Discrete & Computational Geometry 5 (1990) 161–196.
1990 | Published | Journal Article | IST-REx-ID: 4074
Combinatorial complexity bounds for arrangements of curves and spheres
K. Clarkson, H. Edelsbrunner, L. Guibas, M. Sharir, E. Welzl, Discrete & Computational Geometry 5 (1990) 99–160.
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K. Clarkson, H. Edelsbrunner, L. Guibas, M. Sharir, E. Welzl, Discrete & Computational Geometry 5 (1990) 99–160.
1989 | Published | Journal Article | IST-REx-ID: 4081 |
The upper envelope of piecewise linear functions: Algorithms and applications
H. Edelsbrunner, L. Guibas, M. Sharir, Discrete & Computational Geometry 4 (1989) 311–336.
[Published Version]
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H. Edelsbrunner, L. Guibas, M. Sharir, Discrete & Computational Geometry 4 (1989) 311–336.