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Edelsbrunner, Herbert

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Author ID: edelsbrunner.herbert Recent zbMATH articles by "Edelsbrunner, Herbert"
Published as: Edelsbrunner, Herbert; Edelsbrunner, H.
Homepage: http://pub.ist.ac.at/~edels/
External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 220 Publications since 1981, including 6 Books
all top 5

Co-Authors

31 single-authored
27 Guibas, Leonidas John
26 Sharir, Micha
20 Chazelle, Bernard
19 Harer, John L.
16 Welzl, Emo
13 Seidel, Raimund
8 Cohen-Steiner, David
8 Morozov, Dmitrii
8 Snoeyink, Jack Scott
7 Nikitenko, Anton V.
7 Zomorodian, Afra J.
6 Overmars, Mark H.
6 Pascucci, Valerio
6 Patel, Amit K.
5 Agarwal, Pankaj Kumar
5 Cheng, Ho-Lun
5 Dey, Tamal Krishna
5 Hershberger, John E.
5 Kerber, Michael
5 Tan, Tiow Seng
4 Attali, Dominique
4 Dobkin, David P.
4 Grigni, Michelangelo
4 Maurer, Hermann A.
4 Pollack, Richard M.
4 Rote, Günter
4 Wang, Yusu
4 Waupotitsch, Roman
3 Bauer, Ulrich
3 Bendich, Paul
3 Iglesias-Ham, Mabel
3 Kirkpatrick, David G.
3 Koehl, Patrice
3 Musin, Oleg R.
3 Natarajan, Vijay
3 Ölsböck, Katharina
3 Osang, Georg
3 Pach, János
3 Preparata, Franco P.
3 Shen, Xiaojun
2 Aronov, Boris
2 Cheng, Siu-Wing
2 Cole-McLaughlin, Kree
2 Dolbilin, Nikolaĭ Petrovich
2 Facello, Michael A.
2 Fasy, Brittany Terese
2 Fu, Ping
2 Glazyrin, Alexey
2 Guoy, Damrong
2 Jablonski, Grzegorz
2 Jaromczyk, Jerzy W.
2 Mascarenhas, Ajith
2 Mileyko, Yuriy
2 Mrozek, Marian
2 Mücke, Ernst Peter
2 Pausinger, Florian
2 Shah, Nimish R.
2 Stolfi, Jorge
2 Teng, Shang-Hua
2 Üngör, Alper
2 Virk, Žiga
1 Aggarwal, Alok
1 Akkiraju, Nataraj
1 Aurenhammer, Franz
1 Axen, Ulrike
1 Ban, Yih-En Andrew
1 Barton, Nick H.
1 Bern, Marshall W.
1 Boissonnat, Jean-Daniel
1 Bos, E. G. P. (Patrick)
1 Bryant, Robert L.
1 Burton, Benjamin A.
1 Cao, Thanh-Tung
1 Caroli, Manuel
1 Chatterjee, Krishnendu
1 Cheong, Otfried
1 Clarkson, Kenneth L.
1 Day, William H. E.
1 Delfinado, Cecil Jose A.
1 Doyen, Laurent
1 Eldering, Bob
1 Eppstein, David Arthur
1 Erdős, László
1 Erickson, Jeff
1 Feldbrugge, Job
1 Feldman, Jack A.
1 Grayson, Daniel Richard
1 Guha, Sumanta
1 Hajnal, Péter
1 Hartman, Irith Ben-Arroyo
1 Hausel, Tamás
1 Hellwing, Wojciech A.
1 Henzinger, Thomas A.
1 Hidding, Johan
1 Jones, Bernard J. T.
1 Kruithof, Nico
1 Lam, Ka-Po
1 Letscher, David
1 Levitt, Michael R.
1 Li, Xiangyang
...and 38 more Co-Authors
all top 5

Serials

37 Discrete & Computational Geometry
9 SIAM Journal on Computing
8 Computational Geometry
7 Information Processing Letters
6 Algorithmica
5 Theoretical Computer Science
5 Foundations of Computational Mathematics
4 Journal of Combinatorial Theory. Series A
4 Journal of Algorithms
4 Bulletin of the European Association for Theoretical Computer Science (EATCS)
3 Combinatorica
3 Journal of Symbolic Computation
3 International Journal of Computational Geometry & Applications
3 International Journal of Computer Mathematics
2 Discrete Applied Mathematics
2 Discrete Mathematics
2 Russian Mathematical Surveys
2 Journal of Computer and System Sciences
2 Computer Aided Geometric Design
2 ACM Transactions on Graphics
2 Journal of the ACM
2 Homology, Homotopy and Applications
2 Cambridge Monographs on Applied and Computational Mathematics
1 Advances in Applied Probability
1 American Mathematical Monthly
1 IEEE Transactions on Information Theory
1 Theory of Probability and its Applications
1 Advances in Mathematics
1 BIT
1 Geometriae Dedicata
1 IEEE Transactions on Computers
1 Journal of the American Statistical Association
1 Journal of the Association for Computing Machinery
1 Journal of Geometry
1 Transactions of the American Mathematical Society
1 SIAM Journal on Scientific and Statistical Computing
1 Journal of Classification
1 Information and Computation
1 Internationale Mathematische Nachrichten
1 SIAM Journal on Discrete Mathematics
1 The Annals of Applied Probability
1 International Journal of Foundations of Computer Science
1 Pattern Recognition
1 Proceedings of the National Academy of Sciences of the United States of America
1 Computer Vision, Graphics, and Image Processing
1 Journal of Mathematical Imaging and Vision
1 Journal of Universal Computer Science
1 Moscow Mathematical Journal
1 ACM Journal of Experimental Algorithmics
1 Oberwolfach Reports
1 Journal of Computational Geometry
1 Journal of Applied and Computational Topology
1 SpringerBriefs in Applied Sciences and Technology
1 EATCS Monographs on Theoretical Computer Science

Publications by Year

Citations contained in zbMATH Open

184 Publications have been cited 3,901 times in 2,372 Documents Cited by Year
Algorithms in combinatorial geometry. Zbl 0634.52001
Edelsbrunner, Herbert
481
1987
Computational topology. An introduction. Zbl 1193.55001
Edelsbrunner, Herbert; Harer, John L.
218
2010
Topological persistence and simplification. Zbl 1011.68152
Edelsbrunner, Herbert; Letscher, David; Zomorodian, Afra
190
2002
Stability of persistence diagrams. Zbl 1117.54027
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
162
2007
Three-dimensional alpha shapes. Zbl 0806.68107
Edelsbrunner, Herbert; Mücke, Ernst P.
144
1994
Constructing arrangements of lines and hyperplanes with applications. Zbl 0603.68104
Edelsbrunner, H.; O’Rourke, J.; Seidel, R.
122
1986
Optimal point location in a monotone subdivision. Zbl 0602.68102
Edelsbrunner, Herbert; Guibas, Leonidas J.; Stolfi, Jorge
120
1986
Combinatorial complexity bounds for arrangements of curves and spheres. Zbl 0704.51003
Clarkson, Kenneth; Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha; Welzl, Emo
94
1990
Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms. Zbl 0732.68099
Edelsbrunner, Herbert; Mücke, Ernst Peter
90
1990
Topologically sweeping an arrangement. Zbl 0676.68013
Edelsbrunner, Herbert; Guibas, Leonidas J.
79
1989
Persistent homology – a survey. Zbl 1145.55007
Edelsbrunner, Herbert; Harer, John
74
2008
On the shape of a set of points in the plane. Zbl 0512.52001
Edelsbrunner, Herbert; Kirkpatrick, David G.; Seidel, Raimund
74
1983
Voronoi diagrams and arrangements. Zbl 0598.52013
Edelsbrunner, Herbert; Seidel, Raimund
74
1986
An optimal algorithm for intersecting line segments in the plane. Zbl 0799.68191
Chazelle, Bernard; Edelsbrunner, Herbert
64
1992
Ray shooting in polygons using geodesic triangulations. Zbl 0813.68158
Chazelle, B.; Edelsbrunner, H.; Grigni, M.; Guibas, L.; Hershberger, J.; Sharir, M.; Snoeyink, J.
57
1994
Geometry and topology for mesh generation. Zbl 0981.65028
Edelsbrunner, Herbert
56
2001
An optimal algorithm for constructing the weighted Voronoi diagram in the plane. Zbl 0539.52008
Aurenhammer, F.; Edelsbrunner, H.
48
1984
Incremental topological flipping works for regular triangulations. Zbl 0840.68050
Edelsbrunner, H.; Shah, N. R.
43
1996
The union of balls and its dual shape. Zbl 0826.68053
Edelsbrunner, H.
42
1995
The complexity and construction of many faces in arrangements of lines and of segments. Zbl 0691.68035
Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha
38
1990
Stabbing line segments. Zbl 0484.68053
Edelsbrunner, H.; Maurer, H. A.; Preparata, F. P.; Rosenberg, A. L.; Welzl, E.; Wood, D.
36
1982
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
36
1995
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
35
2010
Arrangements of curves in the plane — topology, combinatorics, and algorithms. Zbl 0747.68094
Edelsbrunner, Herbert; Guibas, Leonidas; Pach, János; Pollack, Richard; Seidel, Raimund; Sharir, Micha
32
1992
The upper envelope of piecewise linear functions: Algorithms and applications. Zbl 0707.68044
Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha
32
1989
Silver exudation. Zbl 1320.68210
Cheng, Siu-Wing; Dey, Tamal K.; Edelsbrunner, Herbert; Facello, Michael A.; Teng, Shang-Hua
29
2000
Euclidean minimum spanning trees and bichromatic closest pairs. Zbl 0753.68089
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Schwarzkopf, Otfried; Welzl, Emo
29
1991
Halfplanar range search in linear space and \(O(n^{0.695})\) query time. Zbl 0634.68064
Edelsbrunner, Herbert; Welzl, Emo
29
1986
Vines and vineyards by updating persistence in linear time. Zbl 1153.68388
Cohen-Steiner, David; Edelsbrunner, Herbert; Morozov, Dmitriy
28
2006
Efficient algorithms for agglomerative hierarchical clustering methods. Zbl 0563.62034
Day, William H. E.; Edelsbrunner, Herbert
28
1984
Constructing belts in two-dimensional arrangements with applications. Zbl 0613.68043
Edelsbrunner, H.; Welzl, E.
27
1986
Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Zbl 1029.57023
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
27
2003
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
27
2009
A singly exponential stratification scheme for real semi-algebraic varieties and its applications. Zbl 0757.14031
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha
25
1991
Computing the extreme distances between two convex polygons. Zbl 0604.68079
Edelsbrunner, H.
25
1985
On the zone theorem for hyperplane arrangements. Zbl 0778.52007
Edelsbrunner, Herbert; Seidel, Raimund; Sharir, Micha
24
1993
Edgewise subdivision of a simplex. Zbl 0968.51016
Edelsbrunner, H.; Grayson, D. R.
24
2000
The maximum number of ways to stab n convex nonintersecting sets in the plane is 2n-2. Zbl 0712.52009
Edelsbrunner, Herbert; Sharir, Micha
22
1990
Lines in space: Combinatorics and algorithms. Zbl 0846.68098
Chazelle, B.; Edelsbrunner, H.; Guibas, L. J.; Sharir, M.; Stolfi, J.
21
1996
Implicitly representing arrangements of lines or segments. Zbl 0688.68031
Edelsbrunner, Herbert; Guibas, Leonidas; Hershberger, John; Seidel, Raimund; Sharir, Micha; Snoeyink, Jack; Welzl, Emo
21
1989
The complexity of many cells in arrangements of planes and related problems. Zbl 0691.68036
Edelsbrunner, Herbert; Guibas, Leonidas; Sharir, Micha
21
1990
On the number of line separations of a finite set in the plane. Zbl 0616.52003
Edelsbrunner, H.; Welzl, E.
20
1985
Diameter, width, closest line pair, and parametric searching. Zbl 0777.68075
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas; Sharir, Micha
20
1993
Counting and cutting cycles of lines and rods in space. Zbl 0748.68082
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Pollack, Richard; Seidel, Raimund; Sharir, Micha; Snoeyink, Jack
20
1992
Triangulating topological spaces. Zbl 0887.57028
Edelsbrunner, Herbert; Shah, Nimish R.
20
1997
Deformable smooth surface design. Zbl 0924.68197
Edelsbrunner, H.
20
1999
Minimum polygonal separation. Zbl 0642.52004
Edelsbrunner, H.; Preparata, F. P.
20
1988
Algorithms for bichromatic line-segment problems and polyhedral terrains. Zbl 0818.68140
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha
18
1994
Points and triangles in the plane and halving planes in space. Zbl 0764.68057
Aronov, Boris; Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha; Wenger, Rephael
18
1991
The complexity of cutting complexes. Zbl 0663.68055
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.
17
1989
Homology and robustness of level and interlevel sets. Zbl 1266.55004
Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
17
2013
A new approach to rectangle intersections. I. Zbl 0513.68058
Edelsbrunner, Herbert
16
1983
Morse-Smale complexes for piecewise linear 3-manifolds. Zbl 1375.68125
Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
16
2003
Stability of persistence diagrams. Zbl 1387.68252
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
16
2005
Counting triangle crossings and halving planes. Zbl 0819.68135
Dey, T. K.; Edelsbrunner, H.
15
1994
Computing least median of squares regression lines and guided topological sweep. Zbl 0702.62063
Edelsbrunner, Herbert; Souvaine, Diane L.
15
1990
Reeb spaces of piecewise linear mappings. Zbl 1271.57059
Edelsbrunner, Herbert; Harer, John; Patel, Amit K.
14
2008
An upper bound for conforming Delaunay triangulations. Zbl 0774.68093
Edelsbrunner, Herbert; Tan, Tiow Seng
14
1993
A singly-exponential stratification scheme for real semi-algebraic varieties and its applications. Zbl 0702.68064
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha
14
1989
Edge-skeletons in arrangements with applications. Zbl 0623.68059
Edelsbrunner, H.
14
1986
Stability and computation of medial axes: a state-of-the-art report. Zbl 1192.68555
Attali, Dominique; Boissonnat, Jean-Daniel; Edelsbrunner, Herbert
14
2009
Jacobi sets of multiple Morse functions. Zbl 1109.58018
Edelsbrunner, Herbert; Harer, John
13
2004
The persistent homology of a self-map. Zbl 1330.55009
Edelsbrunner, Herbert; Jabłoński, Grzegorz; Mrozek, Marian
13
2015
Dynamic skin triangulation. Zbl 0984.68172
Cheng, H.-L.; Dey, T. K.; Edelsbrunner, H.; Sullivan, J.
13
2001
Improved bounds on weak \(\varepsilon\)-nets for convex sets. Zbl 0822.68110
Chazelle, B.; Edelsbrunner, H.; Grigni, M.; Guibas, L.; Sharir, M.; Welzl, E.
13
1995
Finding transversals for sets of simple geometric figures. Zbl 0604.68080
Edelsbrunner, Herbert
13
1985
Tetrahedrizing point sets in three dimensions. Zbl 0717.68101
Edelsbrunner, H.; Preparata, F. P.; West, D. B.
13
1990
Partitioning space for range queries. Zbl 0675.68066
Yao, F. Frances; Dobkin, David P.; Edelsbrunner, Herbert; Paterson, Michael S.
13
1989
Persistent homology: theory and practice. Zbl 1364.55008
Edelsbrunner, Herbert
12
2013
Loops in Reeb graphs of 2-manifolds. Zbl 1071.57017
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
12
2004
Polygonal intersection searching. Zbl 0486.68051
Edelsbrunner, H.; Maurer, H. A.; Kirkpatrick, D. G.
12
1982
Edge insertion for optimal triangulations. Zbl 0780.68108
Bern, M.; Edelsbrunner, H.; Eppstein, D.; Mitchell, S.; Tan, T. S.
12
1993
Shape reconstruction with Delaunay complex. Zbl 0905.65014
Edelsbrunner, Herbert
12
1998
Computational topology. Zbl 0916.68202
Dey, Tamal K.; Edelsbrunner, Herbert; Guha, Sumanta
12
1999
An improved algorithm for constructing kth-order Voronoi diagrams. Zbl 0653.68033
Chazelle, Bernard; Edelsbrunner, Herbert
12
1987
Loops in Reeb graphs of 2-manifolds. Zbl 1379.57025
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
12
2003
Extreme elevation on a 2-manifold. Zbl 1105.52010
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
11
2006
Surface reconstruction by wrapping finite sets in space. Zbl 1104.68798
Edelsbrunner, Herbert
11
2003
Triangulations and meshes in computational geometry. Zbl 1004.65024
Edelsbrunner, Herbert
11
2000
On the maximal number of edges of many faces in an arrangement. Zbl 0585.52002
Edelsbrunner, H.; Welzl, E.
11
1986
A short course in computational geometry and topology. Zbl 1315.55001
Edelsbrunner, Herbert
10
2014
On the equivalence of some rectangle problems. Zbl 0486.68052
Edelsbrunner, Herbert; Overmars, Mark H.
10
1982
A lower bound on the number of unit distances between the vertices of a convex polygon. Zbl 0760.52001
Edelsbrunner, Herbert; Hajnal, Péter
10
1991
An \(O(n^ 2\log{}n)\) time algorithm for the minmax angle triangulation. Zbl 0754.65093
Edelsbrunner, Herbert; Tan, Tiow Seng; Waupotitsch, Roman
10
1992
Covering convex sets with non-overlapping polygons. Zbl 0698.52009
Edelsbrunner, Herbert; Robison, Arch D.; Shen, Xiao-Jun
10
1990
An acyclicity theorem for cell complexes in d dimensions. Zbl 0722.52004
Edelsbrunner, H.
10
1990
On the definition and the construction of pockets in macromolecules. Zbl 0928.68113
Edelsbrunner, Herbert; Facello, Michael; Liang, Jie
10
1998
Space searching for intersecting objects. Zbl 0646.68077
Dobkin, David P.; Edelsbrunner, Herbert
10
1987
Alpha, Betti and the megaparsec universe: on the topology of the cosmic web. Zbl 1250.85007
van de Weygaert, Rien; Vegter, Gert; Edelsbrunner, Herbert; Jones, Bernard J. T.; Pranav, Pratyush; Park, Changbom; Hellwing, Wojciech A.; Eldering, Bob; Kruithof, Nico; Bos, E. G. P. (Patrick); Hidding, Johan; Feldbrugge, Job; ten Have, Eline; van Engelen, Matti; Caroli, Manuel; Teillaud, Monique
10
2011
The Morse theory of Čech and Delaunay complexes. Zbl 1360.52026
Bauer, Ulrich; Edelsbrunner, Herbert
10
2017
Geometry and topology for mesh generation. 1st paperback ed. Zbl 1088.65014
Edelsbrunner, Herbert
9
2006
Circles through two points that always enclose many points. Zbl 0687.52005
Edelsbrunner, H.; Hasan, N.; Seidel, R.; Shen, X. J.
9
1989
Smoothing and cleaning up slivers. Zbl 1296.68175
Edelsbrunner, Herbert; Li, Xiang-Yang; Miller, Gary; Stathopoulos, Andreas; Talmor, Dafna; Teng, Shang-Hua; Üngör, Alper; Walkington, Noel
9
2000
Triangulating the surface of a molecule. Zbl 0867.92007
Akkiraju, Nataraj; Edelsbrunner, Herbert
9
1996
Cutting dense point sets in half. Zbl 0870.68153
Edelsbrunner, H.; Valtr, P.; Welzl, E.
9
1997
Finding extreme points in three dimensions and solving the post-office problem in the plane. Zbl 0583.90023
Edelsbrunner, H.; Maurer, H. A.
9
1985
Improved bounds on weak \({\epsilon}\)-nets for convex sets. Zbl 1310.68201
Chazelle, Bernard; Edelsbrunner, Herbert; Grigni, Michelangelo; Guibas, Leonidas; Sharir, Micha; Welzl, Emo
9
1993
A new approach to rectangle intersections. II. Zbl 0513.68059
Edelsbrunner, Herbert
8
1983
Batched dynamic solutions to decomposable searching problems. Zbl 0584.68076
Edelsbrunner, Herbert; Overmars, Mark H.
8
1985
The upper envelope of piecewise linear functions: Tight bounds on the number of faces. Zbl 0707.68043
Edelsbrunner, Herbert
8
1989
Poisson-Delaunay mosaics of order \(k\). Zbl 1439.60018
Edelsbrunner, Herbert; Nikitenko, Anton
4
2019
Holes and dependences in an ordered complex. Zbl 07137415
Edelsbrunner, Herbert; Ölsböck, Katharina
1
2019
On the optimality of the FCC lattice for soft sphere packing. Zbl 1383.05046
Edelsbrunner, Herbert; Iglesias-Ham, Mabel
2
2018
Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Zbl 1402.60017
Edelsbrunner, Herbert; Nikitenko, Anton
1
2018
The multi-cover persistence of Euclidean balls. Zbl 07236438
Edelsbrunner, Herbert; Osang, Georg
1
2018
The Morse theory of Čech and Delaunay complexes. Zbl 1360.52026
Bauer, Ulrich; Edelsbrunner, Herbert
10
2017
Expected sizes of Poisson-Delaunay mosaics and their discrete Morse functions. Zbl 1425.60013
Edelsbrunner, Herbert; Nikitenko, Anton; Reitzner, Matthias
4
2017
Topological data analysis with Bregman divergences. Zbl 1436.55008
Edelsbrunner, Herbert; Wagner, Hubert
3
2017
Approximation and convergence of the intrinsic volume. Zbl 1328.65063
Edelsbrunner, Herbert; Pausinger, Florian
3
2016
The persistent homology of a self-map. Zbl 1330.55009
Edelsbrunner, Herbert; Jabłoński, Grzegorz; Mrozek, Marian
13
2015
Computational geometric and algebraic topology. Abstracts from the workshop held October 11–17, 2015. Zbl 1380.00045
Burton, Benjamin; Edelsbrunner, Herbert; Erickson, Jeff; Tillmann, Stephan
1
2015
Triangulations from topologically correct digital Voronoi diagrams. Zbl 1329.65055
Cao, Thanh-Tung; Edelsbrunner, Herbert; Tan, Tiow-Seng
1
2015
A short course in computational geometry and topology. Zbl 1315.55001
Edelsbrunner, Herbert
10
2014
Stable length estimates of tube-like shapes. Zbl 1314.94013
Edelsbrunner, Herbert; Pausinger, Florian
4
2014
The Morse theory of Čech and Delaunay filtrations. Zbl 1395.68287
Bauer, Ulrich; Edelsbrunner, Herbert
3
2014
Functionals on triangulations of Delaunay sets. Zbl 1315.52016
Dolbilin, Nikolay P.; Edelsbrunner, Herbert; Glazyrin, Alexey; Musin, Oleg R.
2
2014
On the computational complexity of Betti numbers: reductions from matrix rank. Zbl 1423.55033
Edelsbrunner, H.; Parsa, S.
2
2014
Homology and robustness of level and interlevel sets. Zbl 1266.55004
Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
17
2013
Persistent homology: theory and practice. Zbl 1364.55008
Edelsbrunner, Herbert
12
2013
Persistent homology in image processing. Zbl 1382.68294
Edelsbrunner, Herbert
2
2013
Add isotropic Gaussian kernels at own risk: more and more resilient modes in higher dimensions. Zbl 1282.26019
Edelsbrunner, Herbert; Fasy, Brittany Terese; Rote, Günter
1
2013
Dual complexes of cubical subdivisions of \({\mathbb{R}}^{n}\). Zbl 1282.55020
Edelsbrunner, Herbert; Kerber, Michael
4
2012
Add isotropic Gaussian kernels at own risk: more and more resilient modes in higher dimensions. Zbl 1293.68275
Edelsbrunner, Herbert; Fasy, Brittany Terese; Rote, Günter
2
2012
Alexander duality for functions: the persistent behavior of land and water and shore. Zbl 1293.55014
Edelsbrunner, Herbert; Kerber, Michael
1
2012
On the optimality of functionals over triangulations of Delaunay sets. Zbl 1316.52030
Dolbilin, N. P.; Edelsbrunner, H.; Musin, O. R.
1
2012
Alpha, Betti and the megaparsec universe: on the topology of the cosmic web. Zbl 1250.85007
van de Weygaert, Rien; Vegter, Gert; Edelsbrunner, Herbert; Jones, Bernard J. T.; Pranav, Pratyush; Park, Changbom; Hellwing, Wojciech A.; Eldering, Bob; Kruithof, Nico; Bos, E. G. P. (Patrick); Hidding, Johan; Feldbrugge, Job; ten Have, Eline; van Engelen, Matti; Caroli, Manuel; Teillaud, Monique
10
2011
Quantifying transversality by measuring the robustness of intersections. Zbl 1232.55012
Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
5
2011
The stability of the apparent contour of an orientable 2-manifold. Zbl 1214.68430
Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
5
2011
Covering and packing with spheres by diagonal distortion in \(\mathbb R^n\). Zbl 1277.52019
Edelsbrunner, Herbert; Kerber, Michael
2
2011
Computational topology. An introduction. Zbl 1193.55001
Edelsbrunner, Herbert; Harer, John L.
218
2010
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
35
2010
Mean-payoff automaton expressions. Zbl 1287.68093
Chatterjee, Krishnendu; Doyen, Laurent; Edelsbrunner, Herbert; Henzinger, Thomas A.; Rannou, Philippe
6
2010
The robustness of level sets. Zbl 1287.68167
Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
2
2010
Persistent homology under non-uniform error. Zbl 1287.65039
Bendich, Paul; Edelsbrunner, Herbert; Kerber, Michael; Patel, Amit
1
2010
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
27
2009
Stability and computation of medial axes: a state-of-the-art report. Zbl 1192.68555
Attali, Dominique; Boissonnat, Jean-Daniel; Edelsbrunner, Herbert
14
2009
Persistent homology for kernels, images, and cokernels. Zbl 1423.55005
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Morozov, Dmitriy
4
2009
Persistent homology – a survey. Zbl 1145.55007
Edelsbrunner, Herbert; Harer, John
74
2008
Reeb spaces of piecewise linear mappings. Zbl 1271.57059
Edelsbrunner, Herbert; Harer, John; Patel, Amit K.
14
2008
Time-varying Reeb graphs for continuous space-time data. Zbl 1149.65013
Edelsbrunner, Herbert; Harer, John; Mascarenhas, Ajith; Pascucci, Valerio; Snoeyink, Jack
5
2008
Stability of persistence diagrams. Zbl 1117.54027
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
162
2007
Inequalities for the curvature of curves and surfaces. Zbl 1161.53002
Cohen-Steiner, David; Edelsbrunner, Herbert
3
2007
Alpha-beta witness complexes. Zbl 1209.68577
Attali, Dominique; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
3
2007
Inclusion-exclusion formulas from independent complexes. Zbl 1114.52017
Attali, Dominique; Edelsbrunner, Herbert
1
2007
Vines and vineyards by updating persistence in linear time. Zbl 1153.68388
Cohen-Steiner, David; Edelsbrunner, Herbert; Morozov, Dmitriy
28
2006
Extreme elevation on a 2-manifold. Zbl 1105.52010
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
11
2006
Geometry and topology for mesh generation. 1st paperback ed. Zbl 1088.65014
Edelsbrunner, Herbert
9
2006
Persistence-sensitive simplification functions on 2-manifolds. Zbl 1153.68529
Edelsbrunner, Herbert; Morozov, Dmitriy; Pascucci, Valerio
6
2006
Interface surfaces for protein-protein complexes. Zbl 1315.92052
Ban, Yih-En Andrew; Edelsbrunner, Herbert; Rudolph, Johannes
5
2006
Stability of persistence diagrams. Zbl 1387.68252
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
16
2005
The geometry of bimolecular solvation. Zbl 1087.92022
Edelsbrunner, Herbert; Koehl, Patrice
1
2005
Inequalities for the curvature of curves and surfaces. Zbl 1387.53009
Cohen-Steiner, David; Edelsbrunner, Herbert
1
2005
Jacobi sets of multiple Morse functions. Zbl 1109.58018
Edelsbrunner, Herbert; Harer, John
13
2004
Loops in Reeb graphs of 2-manifolds. Zbl 1071.57017
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
12
2004
Time-varying Reeb graphs for continuous space-time data. Zbl 1377.68271
Edelsbrunner, Herbert; Harer, John; Mascarenhas, Ajith; Pascucci, Valerio
6
2004
Extreme elevation on a 2-manifold. Zbl 1377.68258
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
4
2004
Computing the writhing number of a polygonal knot. Zbl 1071.57005
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Wang, Yusu
2
2004
An area derivative of a space-filling diagram. Zbl 1056.92001
Bryant, Robert; Edelsbrunner, Herbert; Koehl, Patrice; Levitt, Michael
1
2004
Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Zbl 1029.57023
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
27
2003
Morse-Smale complexes for piecewise linear 3-manifolds. Zbl 1375.68125
Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
16
2003
Loops in Reeb graphs of 2-manifolds. Zbl 1379.57025
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
12
2003
Surface reconstruction by wrapping finite sets in space. Zbl 1104.68798
Edelsbrunner, Herbert
11
2003
Computing linking numbers of a filtration. Zbl 1032.92014
Edelsbrunner, Herbert; Zomorodian, Afra
3
2003
Area and perimeter derivatives of a union of disks. Zbl 1023.68108
Cheng, Ho-Lun; Edelsbrunner, Herbert
2
2003
The weighted-volume derivative of a space-filling diagram. Zbl 1112.92071
Edelsbrunner, Herbert; Koehl, Patrice
1
2003
Relaxed scheduling in dynamic skin triangulation. Zbl 1179.68176
Edelsbrunner, Herbert; Üngör, Alper
1
2003
Topological persistence and simplification. Zbl 1011.68152
Edelsbrunner, Herbert; Letscher, David; Zomorodian, Afra
190
2002
Fast software for box intersections. Zbl 1080.68713
Zomorodian, Afra; Edelsbrunner, Herbert
5
2002
Sink insertion for mesh improvement. Zbl 1066.65137
Edelsbrunner, Herbert; Guoy, Damrong
3
2002
Computing the writhing number of a polygonal knot. Zbl 1058.65017
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Wang, Yusu
1
2002
Geometry and topology for mesh generation. Zbl 0981.65028
Edelsbrunner, Herbert
56
2001
Dynamic skin triangulation. Zbl 0984.68172
Cheng, H.-L.; Dey, T. K.; Edelsbrunner, H.; Sullivan, J.
13
2001
Hierarchical Morse complexes for piecewise linear 2-manifolds. Zbl 1379.57028
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
7
2001
Shape space from deformation. Zbl 0986.65011
Cheng, Ho-Lun; Edelsbrunner, Herbert; Fu, Ping
6
2001
Design and analysis of planar shape deformation. Zbl 1006.65020
Cheng, Siu-Wing; Edelsbrunner, Herbert; Fu, Ping; Lam, Ka-Po
4
2001
Sink-insertion for mesh improvement. Zbl 1378.65057
Edelsbrunner, Herbert; Guoy, Damrong
2
2001
Silver exudation. Zbl 1320.68210
Cheng, Siu-Wing; Dey, Tamal K.; Edelsbrunner, Herbert; Facello, Michael A.; Teng, Shang-Hua
29
2000
Edgewise subdivision of a simplex. Zbl 0968.51016
Edelsbrunner, H.; Grayson, D. R.
24
2000
Triangulations and meshes in computational geometry. Zbl 1004.65024
Edelsbrunner, Herbert
11
2000
Smoothing and cleaning up slivers. Zbl 1296.68175
Edelsbrunner, Herbert; Li, Xiang-Yang; Miller, Gary; Stathopoulos, Andreas; Talmor, Dafna; Teng, Shang-Hua; Üngör, Alper; Walkington, Noel
9
2000
Fast software for box intersections. Zbl 1375.68175
Zomorodian, Afra; Edelsbrunner, Herbert
2
2000
Adaptive simplicial grids from cross-sections of monotone complexes. Zbl 1074.68638
Edelsbrunner, Herbert; Waupotitsch, Roman
1
2000
Deformable smooth surface design. Zbl 0924.68197
Edelsbrunner, H.
20
1999
Computational topology. Zbl 0916.68202
Dey, Tamal K.; Edelsbrunner, Herbert; Guha, Sumanta
12
1999
Shape reconstruction with Delaunay complex. Zbl 0905.65014
Edelsbrunner, Herbert
12
1998
On the definition and the construction of pockets in macromolecules. Zbl 0928.68113
Edelsbrunner, Herbert; Facello, Michael; Liang, Jie
10
1998
Triangulating topological spaces. Zbl 0887.57028
Edelsbrunner, Herbert; Shah, Nimish R.
20
1997
Cutting dense point sets in half. Zbl 0870.68153
Edelsbrunner, H.; Valtr, P.; Welzl, E.
9
1997
A combinatorial approach to cartograms. Zbl 1133.05304
Edelsbrunner, Herbert; Waupotitsch, Roman
4
1997
Inclusion-exclusion complexes for pseudodisk collections. Zbl 0877.68108
Edelsbrunner, H.; Ramos, E. A.
4
1997
Incremental topological flipping works for regular triangulations. Zbl 0840.68050
Edelsbrunner, H.; Shah, N. R.
43
1996
Lines in space: Combinatorics and algorithms. Zbl 0846.68098
Chazelle, B.; Edelsbrunner, H.; Guibas, L. J.; Sharir, M.; Stolfi, J.
21
1996
Triangulating the surface of a molecule. Zbl 0867.92007
Akkiraju, Nataraj; Edelsbrunner, Herbert
9
1996
The union of balls and its dual shape. Zbl 0826.68053
Edelsbrunner, H.
42
1995
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
36
1995
Improved bounds on weak \(\varepsilon\)-nets for convex sets. Zbl 0822.68110
Chazelle, B.; Edelsbrunner, H.; Grigni, M.; Guibas, L.; Sharir, M.; Welzl, E.
13
1995
Smooth surfaces for multi-scale shape representation. Zbl 1354.68277
Edelsbrunner, Herbert
3
1995
Algebraic decomposition of non-convex polyhedra. Zbl 0938.68865
Edelsbrunner, Herbert
2
1995
Three-dimensional alpha shapes. Zbl 0806.68107
Edelsbrunner, Herbert; Mücke, Ernst P.
144
1994
Ray shooting in polygons using geodesic triangulations. Zbl 0813.68158
Chazelle, B.; Edelsbrunner, H.; Grigni, M.; Guibas, L.; Hershberger, J.; Sharir, M.; Snoeyink, J.
57
1994
...and 84 more Documents
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Cited by 3,032 Authors

101 Sharir, Micha
88 Edelsbrunner, Herbert
49 Guibas, Leonidas John
37 Matoušek, Jiří
33 Agarwal, Pankaj Kumar
33 Pach, János
32 Chazelle, Bernard
28 de Berg, Mark Theodoor
26 Aronov, Boris
26 Boissonnat, Jean-Daniel
26 Oñate Ibáñez de Navarra, Eugenio
25 van Kreveld, Marc J.
24 Dey, Tamal Krishna
24 Halperin, Dan
23 Snoeyink, Jack Scott
22 Overmars, Mark H.
22 Welzl, Emo
21 Hurtado, Ferran
18 Cheong, Otfried
18 Eppstein, David Arthur
18 Hershberger, John E.
17 Aurenhammer, Franz
16 Idelsohn, Sergio Rodolfo
16 Mitchell, Joseph S. B.
16 Mrozek, Marian
15 Mehlhorn, Kurt
15 Tóth, Csaba D.
14 Aichholzer, Oswin
14 Bose, Prosenjit K.
14 Langerman, Stefan
14 Rote, Günter
14 Suri, Subhash
13 Ahn, Hee-Kap
13 Chen, Danny Ziyi
13 Goodrich, Michael Truman
13 Smid, Michiel H. M.
13 Speckmann, Bettina
12 Avis, David M.
12 Chazal, Frédéric
12 Cueto, Elias
12 de Silva, Vin
12 Doblaré, Manuel
12 Klein, Rolf-Dieter
12 Landi, Claudia
12 Mischaikow, Konstantin
12 Oudot, Steve Yann
11 Bae, Sang Won
11 Bubenik, Peter
11 Devillers, Olivier
11 Gudmundsson, Joachim
11 Kaplan, Haim
11 Papadopoulou, Evanthia
11 Seidel, Raimund
11 Wang, Haitao
10 Díaz-Báñez, Jose Miguel
10 Frosini, Patrizio
10 Korman, Matias
10 Löffler, Maarten
10 Mount, David M.
10 Seara, Carlos
10 Tamir, Arie
10 Tokuyama, Takeshi
10 Yap, Chee-Keng
9 Cheng, Siu-Wing
9 Cohen-Steiner, David
9 Dumitrescu, Adrian
9 Erickson, Jeff
9 Fukuda, Komei
9 Hamann, Bernd
9 Hiraoka, Yasuaki
9 Kaczynski, Tomasz
9 Kerber, Michael
9 Kirkpatrick, David G.
9 Knauer, Christian
9 Mémoli, Facundo
9 Nanda, Vidit
9 Nandy, Subhas Chandra
9 Puerto Albandoz, Justo
9 Ramos, Edgar A.
9 Ramos, Pedro A.
9 Steiger, William L.
9 Teillaud, Monique
9 Woeginger, Gerhard Johannes
9 Yvinec, Mariette
9 Zahl, Joshua
8 Asano, Tetsuo
8 Bauer, Ulrich
8 Carlsson, Gunnar E.
8 Das, Sandip
8 Ezra, Esther E.
8 Ghosh, Arijit
8 Harer, John L.
8 Katz, Matthew J.
8 Pilz, Alexander
8 Real, Pedro
8 Romanova, Tatiana E.
8 Sugihara, Kokichi
8 Toussaint, Godfried T.
8 Vegter, Gert
8 Xu, Jinhui
...and 2,932 more Authors
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Cited in 339 Serials

300 Discrete & Computational Geometry
292 Computational Geometry
112 Algorithmica
111 International Journal of Computational Geometry & Applications
94 Information Processing Letters
67 Theoretical Computer Science
65 Discrete Applied Mathematics
53 Computer Aided Geometric Design
40 Computer Methods in Applied Mechanics and Engineering
36 Foundations of Computational Mathematics
33 Journal of Applied and Computational Topology
28 Journal of Combinatorial Theory. Series A
27 Discrete Mathematics
24 International Journal for Numerical Methods in Engineering
23 European Journal of Operational Research
20 Journal of Computer and System Sciences
19 Journal of Symbolic Computation
18 Journal of Computational Physics
17 Combinatorica
16 Journal of Mathematical Imaging and Vision
12 Computers & Mathematics with Applications
12 Applied Mathematics and Computation
12 Topology and its Applications
12 Operations Research Letters
12 Computational Mechanics
12 Computational Statistics and Data Analysis
11 Automatica
11 Journal of Computational and Applied Mathematics
11 Advances in Applied Mathematics
10 Advances in Mathematics
10 Computing
10 Transactions of the American Mathematical Society
10 European Journal of Combinatorics
10 Japan Journal of Industrial and Applied Mathematics
10 Pattern Recognition
9 Israel Journal of Mathematics
9 BIT
9 Geometriae Dedicata
9 Graphs and Combinatorics
9 Information and Computation
9 Journal of Global Optimization
9 Combinatorics, Probability and Computing
8 Information Sciences
8 Physica D
8 International Journal of Computer Mathematics
8 Mathematical Programming. Series A. Series B
8 Journal of Combinatorial Optimization
8 Journal of Machine Learning Research (JMLR)
8 Journal of Discrete Algorithms
7 The Annals of Statistics
7 Journal of Multivariate Analysis
7 SIAM Journal on Computing
7 Computers & Operations Research
7 SIAM Journal on Applied Dynamical Systems
6 Bulletin of Mathematical Biology
6 International Journal of Foundations of Computer Science
6 Bulletin of the American Mathematical Society. New Series
6 Applicable Algebra in Engineering, Communication and Computing
6 Annals of Mathematics and Artificial Intelligence
6 Mathematics in Computer Science
6 SIAM Journal on Applied Algebra and Geometry
5 Mathematical Methods in the Applied Sciences
5 Mathematics of Computation
5 Proceedings of the American Mathematical Society
5 Applied Mathematics Letters
5 The Annals of Applied Probability
5 Computational Statistics
5 SIAM Journal on Scientific Computing
5 Mathematical Problems in Engineering
5 International Journal of Shape Modeling
5 Chaos
5 Algebraic & Geometric Topology
5 Electronic Journal of Statistics
4 Artificial Intelligence
4 Journal of Mathematical Biology
4 ACM Transactions on Mathematical Software
4 Journal of Geometry
4 Journal of Classification
4 Journal of Complexity
4 Journal of the American Mathematical Society
4 SIAM Journal on Discrete Mathematics
4 Journal of Mathematical Sciences (New York)
4 Engineering Computations
4 Journal of Zhejiang University. Science A
3 Advances in Applied Probability
3 Journal of Statistical Physics
3 Fuzzy Sets and Systems
3 Journal of the American Statistical Association
3 Journal of Combinatorial Theory. Series B
3 Networks
3 Applied Numerical Mathematics
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 ACM Transactions on Graphics
3 The Visual Computer
3 Annals of Operations Research
3 Machine Learning
3 Numerical Algorithms
3 Applied Mathematical Modelling
3 Linear Algebra and its Applications
3 SIAM Review
...and 239 more Serials
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Cited in 58 Fields

1,223 Computer science (68-XX)
472 Convex and discrete geometry (52-XX)
437 Numerical analysis (65-XX)
284 Combinatorics (05-XX)
269 Algebraic topology (55-XX)
183 Operations research, mathematical programming (90-XX)
162 Statistics (62-XX)
101 Manifolds and cell complexes (57-XX)
79 Biology and other natural sciences (92-XX)
74 Geometry (51-XX)
67 Probability theory and stochastic processes (60-XX)
60 Fluid mechanics (76-XX)
58 Mechanics of deformable solids (74-XX)
47 Dynamical systems and ergodic theory (37-XX)
39 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
36 Algebraic geometry (14-XX)
35 Differential geometry (53-XX)
34 Global analysis, analysis on manifolds (58-XX)
32 Information and communication theory, circuits (94-XX)
30 Systems theory; control (93-XX)
29 General topology (54-XX)
22 Category theory; homological algebra (18-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
17 Number theory (11-XX)
16 Partial differential equations (35-XX)
16 Approximations and expansions (41-XX)
15 Mathematical logic and foundations (03-XX)
14 Measure and integration (28-XX)
13 General and overarching topics; collections (00-XX)
13 Commutative algebra (13-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 Quantum theory (81-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Functional analysis (46-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Associative rings and algebras (16-XX)
9 Real functions (26-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Operator theory (47-XX)
6 Mechanics of particles and systems (70-XX)
5 Functions of a complex variable (30-XX)
5 Ordinary differential equations (34-XX)
5 Relativity and gravitational theory (83-XX)
4 History and biography (01-XX)
4 Astronomy and astrophysics (85-XX)
4 Geophysics (86-XX)
3 Field theory and polynomials (12-XX)
3 Group theory and generalizations (20-XX)
3 Abstract harmonic analysis (43-XX)
3 Integral equations (45-XX)
2 Potential theory (31-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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