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Edelsbrunner, Herbert

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
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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
9 Nikitenko, Anton V.
8 Cohen-Steiner, David
8 Morozov, Dmitry V.
8 Saghafian, Morteza
8 Snoeyink, Jack Scott
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 Cultrera di Montesano, Sebastiano
4 Dobkin, David P.
4 Garber, Alexeĭ Igorevich
4 Grigni, Michelangelo
4 Heiss, Teresa
4 Maurer, Hermann A.
4 Osang, Georg
4 Pach, János
4 Pollack, Richard M.
4 Rote, Günter
4 Wagner, Hubert
4 Wang, Yusu
4 Waupotitsch, Roman
3 Bauer, Ulrich
3 Bendich, Paul
3 Draganov, Ondřej
3 Ghafari, Mohadese
3 Iglesias-Ham, Mabel
3 Kirkpatrick, David G.
3 Koehl, Patrice
3 Mrozek, Marian
3 Musin, Oleg R.
3 Natarajan, Vijay
3 Ölsböck, Katharina
3 Preparata, Franco P.
3 Shen, Xiaojun
3 Virk, Žiga
2 Akopyan, Arsenyi
2 Aronov, Boris
2 Biswas, Ranita
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 Mücke, Ernst Peter
2 Pausinger, Florian
2 Shah, Nimish R.
2 Stolfi, Jorge
2 Sullivan, John Matthew
2 Teng, Shang-Hua
2 Üngör, Alper
2 Wintraecken, Mathijs Hubertus Maria Johannes
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 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
...and 51 more Co-Authors
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Serials

38 Discrete & Computational Geometry
9 SIAM Journal on Computing
8 Computational Geometry
7 Information Processing Letters
7 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
2 Computational and Mathematical Biophysics
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

192 Publications have been cited 5,268 times in 3,145 Documents Cited by Year
Algorithms in combinatorial geometry. Zbl 0634.52001
Edelsbrunner, Herbert
585
1987
Computational topology. An introduction. Zbl 1193.55001
Edelsbrunner, Herbert; Harer, John L.
416
2010
Topological persistence and simplification. Zbl 1011.68152
Edelsbrunner, Herbert; Letscher, David; Zomorodian, Afra
311
2002
Stability of persistence diagrams. Zbl 1117.54027
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
266
2007
Three-dimensional alpha shapes. Zbl 0806.68107
Edelsbrunner, Herbert; Mücke, Ernst P.
179
1994
Optimal point location in a monotone subdivision. Zbl 0602.68102
Edelsbrunner, Herbert; Guibas, Leonidas J.; Stolfi, Jorge
148
1986
Constructing arrangements of lines and hyperplanes with applications. Zbl 0603.68104
Edelsbrunner, H.; O’Rourke, J.; Seidel, R.
146
1986
Persistent homology – a survey. Zbl 1145.55007
Edelsbrunner, Herbert; Harer, John
142
2008
Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms. Zbl 0732.68099
Edelsbrunner, Herbert; Mücke, Ernst Peter
121
1990
On the shape of a set of points in the plane. Zbl 0512.52001
Edelsbrunner, Herbert; Kirkpatrick, David G.; Seidel, Raimund
109
1983
Combinatorial complexity bounds for arrangements of curves and spheres. Zbl 0704.51003
Clarkson, Kenneth; Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha; Welzl, Emo
108
1990
Topologically sweeping an arrangement. Zbl 0676.68013
Edelsbrunner, Herbert; Guibas, Leonidas J.
98
1989
Voronoi diagrams and arrangements. Zbl 0598.52013
Edelsbrunner, Herbert; Seidel, Raimund
92
1986
An optimal algorithm for intersecting line segments in the plane. Zbl 0799.68191
Chazelle, Bernard; Edelsbrunner, Herbert
77
1992
Geometry and topology for mesh generation. Zbl 0981.65028
Edelsbrunner, Herbert
73
2001
Ray shooting in polygons using geodesic triangulations. Zbl 0813.68158
Chazelle, B.; Edelsbrunner, H.; Grigni, M.; Guibas, L.; Hershberger, J.; Sharir, M.; Snoeyink, J.
65
1994
An optimal algorithm for constructing the weighted Voronoi diagram in the plane. Zbl 0539.52008
Aurenhammer, F.; Edelsbrunner, H.
56
1984
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
53
2010
The union of balls and its dual shape. Zbl 0826.68053
Edelsbrunner, H.
53
1995
Incremental topological flipping works for regular triangulations. Zbl 0840.68050
Edelsbrunner, H.; Shah, N. R.
51
1996
Vines and vineyards by updating persistence in linear time. Zbl 1153.68388
Cohen-Steiner, David; Edelsbrunner, Herbert; Morozov, Dmitriy
50
2006
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
45
1995
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
42
2009
The complexity and construction of many faces in arrangements of lines and of segments. Zbl 0691.68035
Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha
41
1990
Stabbing line segments. Zbl 0484.68053
Edelsbrunner, H.; Maurer, H. A.; Preparata, F. P.; Rosenberg, A. L.; Welzl, E.; Wood, D.
40
1982
Halfplanar range search in linear space and \(O(n^{0.695})\) query time. Zbl 0634.68064
Edelsbrunner, Herbert; Welzl, Emo
39
1986
Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Zbl 1029.57023
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
39
2003
Euclidean minimum spanning trees and bichromatic closest pairs. Zbl 0753.68089
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Schwarzkopf, Otfried; Welzl, Emo
38
1991
Silver exudation. Zbl 1320.68210
Cheng, Siu-Wing; Dey, Tamal K.; Edelsbrunner, Herbert; Facello, Michael A.; Teng, Shang-Hua
38
2000
The upper envelope of piecewise linear functions: Algorithms and applications. Zbl 0707.68044
Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha
37
1989
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
36
1992
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
34
1991
Efficient algorithms for agglomerative hierarchical clustering methods. Zbl 0563.62034
Day, William H. E.; Edelsbrunner, Herbert
34
1984
Computing the extreme distances between two convex polygons. Zbl 0604.68079
Edelsbrunner, H.
32
1985
On the zone theorem for hyperplane arrangements. Zbl 0778.52007
Edelsbrunner, Herbert; Seidel, Raimund; Sharir, Micha
31
1993
Constructing belts in two-dimensional arrangements with applications. Zbl 0613.68043
Edelsbrunner, H.; Welzl, E.
29
1986
Edgewise subdivision of a simplex. Zbl 0968.51016
Edelsbrunner, H.; Grayson, D. R.
29
2000
Algorithms for bichromatic line-segment problems and polyhedral terrains. Zbl 0818.68140
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha
28
1994
Morse-Smale complexes for piecewise linear 3-manifolds. Zbl 1375.68125
Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
26
2003
Diameter, width, closest line pair, and parametric searching. Zbl 0777.68075
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas; Sharir, Micha
25
1993
Minimum polygonal separation. Zbl 0642.52004
Edelsbrunner, H.; Preparata, F. P.
25
1988
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
24
1992
Triangulating topological spaces. Zbl 0887.57028
Edelsbrunner, Herbert; Shah, Nimish R.
24
1997
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
24
1989
The maximum number of ways to stab n convex nonintersecting sets in the plane is 2n-2. Zbl 0712.52009
Edelsbrunner, Herbert; Sharir, Micha
24
1990
The complexity of cutting complexes. Zbl 0663.68055
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.
23
1989
Deformable smooth surface design. Zbl 0924.68197
Edelsbrunner, H.
22
1999
Implicitly representing arrangements of lines or segments. Zbl 0688.68031
Edelsbrunner, Herbert; Guibas, Leonidas; Hershberger, John; Seidel, Raimund; Sharir, Micha; Snoeyink, Jack; Welzl, Emo
22
1989
The complexity of many cells in arrangements of planes and related problems. Zbl 0691.68036
Edelsbrunner, Herbert; Guibas, Leonidas; Sharir, Micha
22
1990
Stability and computation of medial axes: a state-of-the-art report. Zbl 1192.68555
Attali, Dominique; Boissonnat, Jean-Daniel; Edelsbrunner, Herbert
22
2009
Lines in space: Combinatorics and algorithms. Zbl 0846.68098
Chazelle, B.; Edelsbrunner, H.; Guibas, L. J.; Sharir, M.; Stolfi, J.
22
1996
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
21
1991
Stability of persistence diagrams. Zbl 1387.68252
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
21
2005
Triangulations and meshes in computational geometry. Zbl 1004.65024
Edelsbrunner, Herbert
21
2000
Reeb spaces of piecewise linear mappings. Zbl 1271.57059
Edelsbrunner, Herbert; Harer, John; Patel, Amit K.
21
2008
On the number of line separations of a finite set in the plane. Zbl 0616.52003
Edelsbrunner, H.; Welzl, E.
20
1985
A short course in computational geometry and topology. Zbl 1315.55001
Edelsbrunner, Herbert
20
2014
Homology and robustness of level and interlevel sets. Zbl 1266.55004
Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
20
2013
Counting triangle crossings and halving planes. Zbl 0819.68135
Dey, T. K.; Edelsbrunner, H.
19
1994
A new approach to rectangle intersections. I. Zbl 0513.68058
Edelsbrunner, Herbert
19
1983
Jacobi sets of multiple Morse functions. Zbl 1109.58018
Edelsbrunner, Herbert; Harer, John
19
2004
The Morse theory of Čech and Delaunay complexes. Zbl 1360.52026
Bauer, Ulrich; Edelsbrunner, Herbert
19
2017
Persistent homology: theory and practice. Zbl 1364.55008
Edelsbrunner, Herbert
18
2013
An upper bound for conforming Delaunay triangulations. Zbl 0774.68093
Edelsbrunner, Herbert; Tan, Tiow Seng
17
1993
Computing least median of squares regression lines and guided topological sweep. Zbl 0702.62063
Edelsbrunner, Herbert; Souvaine, Diane L.
17
1990
The persistent homology of a self-map. Zbl 1330.55009
Edelsbrunner, Herbert; Jabłoński, Grzegorz; Mrozek, Marian
17
2015
Partitioning space for range queries. Zbl 0675.68066
Yao, F. Frances; Dobkin, David P.; Edelsbrunner, Herbert; Paterson, Michael S.
16
1989
An improved algorithm for constructing kth-order Voronoi diagrams. Zbl 0653.68033
Chazelle, Bernard; Edelsbrunner, Herbert
16
1987
Computational topology. Zbl 0916.68202
Dey, Tamal K.; Edelsbrunner, Herbert; Guha, Sumanta
16
1999
Surface reconstruction by wrapping finite sets in space. Zbl 1104.68798
Edelsbrunner, Herbert
16
2003
Edge-skeletons in arrangements with applications. Zbl 0623.68059
Edelsbrunner, H.
15
1986
Edge insertion for optimal triangulations. Zbl 0780.68108
Bern, M.; Edelsbrunner, H.; Eppstein, D.; Mitchell, S.; Tan, T. S.
15
1993
Improved bounds on weak \(\varepsilon\)-nets for convex sets. Zbl 0822.68110
Chazelle, B.; Edelsbrunner, H.; Grigni, M.; Guibas, L.; Sharir, M.; Welzl, E.
15
1995
Tetrahedrizing point sets in three dimensions. Zbl 0717.68101
Edelsbrunner, H.; Preparata, F. P.; West, D. B.
14
1990
Geometry and topology for mesh generation. 1st paperback ed. Zbl 1088.65014
Edelsbrunner, Herbert
14
2006
Shape reconstruction with Delaunay complex. Zbl 0905.65014
Edelsbrunner, Herbert
14
1998
Loops in Reeb graphs of 2-manifolds. Zbl 1071.57017
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
14
2004
On the equivalence of some rectangle problems. Zbl 0486.68052
Edelsbrunner, Herbert; Overmars, Mark H.
14
1982
Cutting dense point sets in half. Zbl 0870.68153
Edelsbrunner, H.; Valtr, P.; Welzl, E.
13
1997
Finding transversals for sets of simple geometric figures. Zbl 0604.68080
Edelsbrunner, Herbert
13
1985
On the definition and the construction of pockets in macromolecules. Zbl 0928.68113
Edelsbrunner, Herbert; Facello, Michael; Liang, Jie
13
1998
Hierarchical Morse complexes for piecewise linear 2-manifolds. Zbl 1379.57028
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
13
2001
Loops in Reeb graphs of 2-manifolds. Zbl 1379.57025
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
13
2003
Extreme elevation on a 2-manifold. Zbl 1105.52010
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
13
2006
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
13
2011
Persistent homology for kernels, images, and cokernels. Zbl 1423.55005
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Morozov, Dmitriy
13
2009
Dynamic skin triangulation. Zbl 0984.68172
Cheng, H.-L.; Dey, T. K.; Edelsbrunner, H.; Sullivan, J.
13
2001
An \(O(n^ 2\log{}n)\) time algorithm for the minmax angle triangulation. Zbl 0754.65093
Edelsbrunner, Herbert; Tan, Tiow Seng; Waupotitsch, Roman
12
1992
An acyclicity theorem for cell complexes in d dimensions. Zbl 0722.52004
Edelsbrunner, H.
12
1990
A lower bound on the number of unit distances between the vertices of a convex polygon. Zbl 0760.52001
Edelsbrunner, Herbert; Hajnal, Péter
12
1991
On the maximal number of edges of many faces in an arrangement. Zbl 0585.52002
Edelsbrunner, H.; Welzl, E.
12
1986
Arrangements of curves in the plane - topology, combinatorics, and algorithms. Zbl 0649.68040
Edelsbrunner, Herbert; Guibas, Leonidas; Pach, Janos; Pollack, Richard; Seidel, Raimund; Sharir, Micha
12
1988
Circles through two points that always enclose many points. Zbl 0687.52005
Edelsbrunner, H.; Hasan, N.; Seidel, R.; Shen, X. J.
12
1989
Covering convex sets with non-overlapping polygons. Zbl 0698.52009
Edelsbrunner, Herbert; Robison, Arch D.; Shen, Xiao-Jun
12
1990
Polygonal intersection searching. Zbl 0486.68051
Edelsbrunner, H.; Maurer, H. A.; Kirkpatrick, D. G.
12
1982
Computing a ham-sandwich cut in two dimensions. Zbl 0623.68058
Edelsbrunner, H.; Waupotitsch, R.
11
1986
Space searching for intersecting objects. Zbl 0646.68077
Dobkin, David P.; Edelsbrunner, Herbert
11
1987
Triangulating the surface of a molecule. Zbl 0867.92007
Akkiraju, Nataraj; Edelsbrunner, Herbert
10
1996
Corrigendum: Topologically sweeping an arrangement. Zbl 0717.68039
Edelsbrunner, Herbert; Guibas, Leonidas J.
10
1991
Ray shooting in polygons using geodesic triangulations. Zbl 0769.68119
Chazelle, Bernard; Edelsbrunner, Herbert; Grigni, Michelangelo; Guibas, Leonidas; Hershberger, John; Sharir, Micha; Snoeyink, Jack
10
1991
A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Zbl 07677084
Edelsbrunner, Herbert; Osang, Georg
1
2023
A step in the Delaunay mosaic of order \(k\). Zbl 1473.57068
Edelsbrunner, Herbert; Nikitenko, Anton; Osang, Georg
1
2021
The multi-cover persistence of Euclidean balls. Zbl 1468.62436
Edelsbrunner, Herbert; Osang, Georg
1
2021
Čech-Delaunay gradient flow and homology inference for self-maps. Zbl 1479.55010
Bauer, U.; Edelsbrunner, H.; Jabłoński, G.; Mrozek, M.
5
2020
Tri-partitions and bases of an ordered complex. Zbl 1450.05069
Edelsbrunner, Herbert; Ölsböck, Katharina
2
2020
The weighted mean curvature derivative of a space-filling diagram. Zbl 1528.52003
Akopyan, Arsenyi; Edelsbrunner, Herbert
1
2020
Poisson-Delaunay mosaics of order \(k\). Zbl 1439.60018
Edelsbrunner, Herbert; Nikitenko, Anton
6
2019
Holes and dependences in an ordered complex. Zbl 1505.65054
Edelsbrunner, Herbert; Ölsböck, Katharina
1
2019
The multi-cover persistence of Euclidean balls. Zbl 1493.55003
Edelsbrunner, Herbert; Osang, Georg
10
2018
Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Zbl 1402.60017
Edelsbrunner, Herbert; Nikitenko, Anton
5
2018
On the optimality of the FCC lattice for soft sphere packing. Zbl 1383.05046
Edelsbrunner, Herbert; Iglesias-Ham, Mabel
2
2018
Smallest enclosing spheres and Chernoff points in Bregman geometry. Zbl 1489.68354
Edelsbrunner, Herbert; Virk, Žiga; Wagner, Hubert
1
2018
The Morse theory of Čech and Delaunay complexes. Zbl 1360.52026
Bauer, Ulrich; Edelsbrunner, Herbert
19
2017
Expected sizes of Poisson-Delaunay mosaics and their discrete Morse functions. Zbl 1425.60013
Edelsbrunner, Herbert; Nikitenko, Anton; Reitzner, Matthias
9
2017
Topological data analysis with Bregman divergences. Zbl 1436.55008
Edelsbrunner, Herbert; Wagner, Hubert
6
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
17
2015
Triangulations from topologically correct digital Voronoi diagrams. Zbl 1329.65055
Cao, Thanh-Tung; Edelsbrunner, Herbert; Tan, Tiow-Seng
3
2015
Computational geometric and algebraic topology. Abstracts from the workshop held October 11–17, 2015. Zbl 1380.00045
2
2015
A short course in computational geometry and topology. Zbl 1315.55001
Edelsbrunner, Herbert
20
2014
Stable length estimates of tube-like shapes. Zbl 1314.94013
Edelsbrunner, Herbert; Pausinger, Florian
5
2014
The Morse theory of Čech and Delaunay filtrations. Zbl 1395.68287
Bauer, Ulrich; Edelsbrunner, Herbert
4
2014
On the computational complexity of Betti numbers: reductions from matrix rank. Zbl 1423.55033
Edelsbrunner, H.; Parsa, S.
3
2014
Functionals on triangulations of Delaunay sets. Zbl 1315.52016
Dolbilin, Nikolay P.; Edelsbrunner, Herbert; Glazyrin, Alexey; Musin, Oleg R.
2
2014
Homology and robustness of level and interlevel sets. Zbl 1266.55004
Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
20
2013
Persistent homology: theory and practice. Zbl 1364.55008
Edelsbrunner, Herbert
18
2013
Persistent homology in image processing. Zbl 1382.68294
Edelsbrunner, Herbert
3
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
2
2013
3D kinetic alpha complexes and their implementation. Zbl 1430.68375
Kerber, Michael; Edelsbrunner, Herbert
1
2013
Dual complexes of cubical subdivisions of \({\mathbb{R}}^{n}\). Zbl 1282.55020
Edelsbrunner, Herbert; Kerber, Michael
6
2012
On the optimality of functionals over triangulations of Delaunay sets. Zbl 1316.52030
Dolbilin, N. P.; Edelsbrunner, H.; Musin, O. R.
3
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
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
13
2011
Quantifying transversality by measuring the robustness of intersections. Zbl 1232.55012
Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
6
2011
The stability of the apparent contour of an orientable 2-manifold. Zbl 1214.68430
Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
6
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.
416
2010
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
53
2010
Mean-payoff automaton expressions. Zbl 1287.68093
Chatterjee, Krishnendu; Doyen, Laurent; Edelsbrunner, Herbert; Henzinger, Thomas A.; Rannou, Philippe
7
2010
The robustness of level sets. Zbl 1287.68167
Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
3
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
42
2009
Stability and computation of medial axes: a state-of-the-art report. Zbl 1192.68555
Attali, Dominique; Boissonnat, Jean-Daniel; Edelsbrunner, Herbert
22
2009
Persistent homology for kernels, images, and cokernels. Zbl 1423.55005
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Morozov, Dmitriy
13
2009
Persistent homology – a survey. Zbl 1145.55007
Edelsbrunner, Herbert; Harer, John
142
2008
Reeb spaces of piecewise linear mappings. Zbl 1271.57059
Edelsbrunner, Herbert; Harer, John; Patel, Amit K.
21
2008
Time-varying Reeb graphs for continuous space-time data. Zbl 1149.65013
Edelsbrunner, Herbert; Harer, John; Mascarenhas, Ajith; Pascucci, Valerio; Snoeyink, Jack
7
2008
Stability of persistence diagrams. Zbl 1117.54027
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
266
2007
Inequalities for the curvature of curves and surfaces. Zbl 1161.53002
Cohen-Steiner, David; Edelsbrunner, Herbert
3
2007
Inclusion-exclusion formulas from independent complexes. Zbl 1114.52017
Attali, Dominique; Edelsbrunner, Herbert
3
2007
Alpha-beta witness complexes. Zbl 1209.68577
Attali, Dominique; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
3
2007
Vines and vineyards by updating persistence in linear time. Zbl 1153.68388
Cohen-Steiner, David; Edelsbrunner, Herbert; Morozov, Dmitriy
50
2006
Geometry and topology for mesh generation. 1st paperback ed. Zbl 1088.65014
Edelsbrunner, Herbert
14
2006
Extreme elevation on a 2-manifold. Zbl 1105.52010
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
13
2006
Persistence-sensitive simplification functions on 2-manifolds. Zbl 1153.68529
Edelsbrunner, Herbert; Morozov, Dmitriy; Pascucci, Valerio
8
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
21
2005
The geometry of bimolecular solvation. Zbl 1087.92022
Edelsbrunner, Herbert; Koehl, Patrice
4
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
19
2004
Loops in Reeb graphs of 2-manifolds. Zbl 1071.57017
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
14
2004
Time-varying Reeb graphs for continuous space-time data. Zbl 1377.68271
Edelsbrunner, Herbert; Harer, John; Mascarenhas, Ajith; Pascucci, Valerio
8
2004
Extreme elevation on a 2-manifold. Zbl 1377.68258
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
4
2004
An area derivative of a space-filling diagram. Zbl 1056.92001
Bryant, Robert; Edelsbrunner, Herbert; Koehl, Patrice; Levitt, Michael
3
2004
Computing the writhing number of a polygonal knot. Zbl 1071.57005
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Wang, Yusu
2
2004
Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Zbl 1029.57023
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
39
2003
Morse-Smale complexes for piecewise linear 3-manifolds. Zbl 1375.68125
Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
26
2003
Surface reconstruction by wrapping finite sets in space. Zbl 1104.68798
Edelsbrunner, Herbert
16
2003
Loops in Reeb graphs of 2-manifolds. Zbl 1379.57025
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
13
2003
The weighted-volume derivative of a space-filling diagram. Zbl 1112.92071
Edelsbrunner, Herbert; Koehl, Patrice
3
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
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
311
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
2
2002
Geometry and topology for mesh generation. Zbl 0981.65028
Edelsbrunner, Herbert
73
2001
Hierarchical Morse complexes for piecewise linear 2-manifolds. Zbl 1379.57028
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
13
2001
Dynamic skin triangulation. Zbl 0984.68172
Cheng, H.-L.; Dey, T. K.; Edelsbrunner, H.; Sullivan, J.
13
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
5
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
38
2000
Edgewise subdivision of a simplex. Zbl 0968.51016
Edelsbrunner, H.; Grayson, D. R.
29
2000
Triangulations and meshes in computational geometry. Zbl 1004.65024
Edelsbrunner, Herbert
21
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.
22
1999
Computational topology. Zbl 0916.68202
Dey, Tamal K.; Edelsbrunner, Herbert; Guha, Sumanta
16
1999
Shape reconstruction with Delaunay complex. Zbl 0905.65014
Edelsbrunner, Herbert
14
1998
On the definition and the construction of pockets in macromolecules. Zbl 0928.68113
Edelsbrunner, Herbert; Facello, Michael; Liang, Jie
13
1998
Triangulating topological spaces. Zbl 0887.57028
Edelsbrunner, Herbert; Shah, Nimish R.
24
1997
Cutting dense point sets in half. Zbl 0870.68153
Edelsbrunner, H.; Valtr, P.; Welzl, E.
13
1997
Inclusion-exclusion complexes for pseudodisk collections. Zbl 0877.68108
Edelsbrunner, H.; Ramos, E. A.
6
1997
A combinatorial approach to cartograms. Zbl 1133.05304
Edelsbrunner, Herbert; Waupotitsch, Roman
4
1997
Incremental topological flipping works for regular triangulations. Zbl 0840.68050
Edelsbrunner, H.; Shah, N. R.
51
1996
Lines in space: Combinatorics and algorithms. Zbl 0846.68098
Chazelle, B.; Edelsbrunner, H.; Guibas, L. J.; Sharir, M.; Stolfi, J.
22
1996
...and 92 more Documents
all top 5

Cited by 4,007 Authors

114 Sharir, Micha
96 Edelsbrunner, Herbert
51 Guibas, Leonidas John
41 Agarwal, Pankaj Kumar
40 Aronov, Boris
39 Matoušek, Jiří
37 de Berg, Mark Theodoor
37 Pach, János
36 Dey, Tamal Krishna
35 Chazelle, Bernard
34 van Kreveld, Marc J.
32 Boissonnat, Jean-Daniel
30 Snoeyink, Jack Scott
28 Oñate Ibáñez de Navarra, Eugenio
27 Halperin, Dan
26 Overmars, Mark H.
25 Hershberger, John E.
24 Welzl, Emo
22 Hurtado, Ferran
21 Eppstein, David Arthur
20 Aurenhammer, Franz
20 Mitchell, Joseph S. B.
19 Cheong, Otfried
19 Landi, Claudia
19 Mrozek, Marian
19 Tóth, Csaba D.
18 Bose, Prosenjit K.
18 Kerber, Michael
18 Mehlhorn, Kurt
18 Oudot, Steve Yann
18 Rote, Günter
17 Ahn, Hee-Kap
17 Aichholzer, Oswin
17 Mémoli, Facundo
17 Suri, Subhash
16 Adams, Henry
16 Goodrich, Michael Truman
16 Idelsohn, Sergio Rodolfo
16 Smid, Michiel H. M.
16 Wang, Bei
16 Wang, Haitao
15 Bubenik, Peter
15 Langerman, Stefan
15 Speckmann, Bettina
15 Virk, Žiga
14 Chazal, Frédéric
14 Chen, Danny Ziyi
14 Frosini, Patrizio
14 Gudmundsson, Joachim
14 Klein, Rolf-Dieter
14 Papadopoulou, Evanthia
14 Seidel, Raimund
13 Avis, David M.
13 Bae, Sang Won
13 de Silva, Vin
13 Dumitrescu, Adrian
13 Ezra, Esther E.
13 Löffler, Maarten
13 Mischaikow, Konstantin
13 Seara, Carlos
13 Wang, Yusu
13 Wei, Guowei
13 Yap, Chee-Keng
13 Zahl, Joshua
12 Bauer, Ulrich
12 Cueto, Elias
12 Das, Sandip
12 Doblaré, Manuel
12 Erickson, Jeff
12 Kaplan, Haim
12 Katz, Matthew J.
12 Korman, Matias
12 Mount, David M.
11 Chan, Timothy Moon-Yew
11 Cohen-Steiner, David
11 Devillers, Olivier
11 Díaz-Báñez, Jose Miguel
11 Janardan, Ravi
11 Nanda, Vidit
11 Preparata, Franco P.
11 Romanova, Tatiana E.
11 Tokuyama, Takeshi
11 Urrutia Galicia, Jorge L.
11 Yvinec, Mariette
10 Asano, Tetsuo
10 Cheng, Siu-Wing
10 Ghosh, Arijit
10 González-Díaz, Rocío
10 Hiraoka, Yasuaki
10 Kaczynski, Tomasz
10 Kirkpatrick, David G.
10 Lieutier, André
10 Munch, Elizabeth
10 Pilz, Alexander
10 Puerto Albandoz, Justo
10 Ramos, Pedro A.
10 Steiger, William L.
10 Tamir, Arie
10 Toussaint, Godfried T.
10 Vegter, Gert
...and 3,907 more Authors
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Cited in 430 Serials

341 Discrete & Computational Geometry
319 Computational Geometry
118 Algorithmica
116 International Journal of Computational Geometry & Applications
100 Information Processing Letters
74 Theoretical Computer Science
70 Discrete Applied Mathematics
65 Journal of Applied and Computational Topology
57 Computer Aided Geometric Design
47 Computer Methods in Applied Mechanics and Engineering
43 Foundations of Computational Mathematics
31 Journal of Combinatorial Theory. Series A
28 Discrete Mathematics
27 International Journal for Numerical Methods in Engineering
24 Journal of Computational Physics
24 European Journal of Operational Research
23 Journal of Mathematical Imaging and Vision
21 Journal of Computer and System Sciences
19 Journal of Symbolic Computation
18 Combinatorica
17 Computers & Mathematics with Applications
16 Computational Mechanics
15 Foundations of Data Science
14 SIAM Journal on Computing
14 Topology and its Applications
14 Computational Statistics and Data Analysis
14 SIAM Journal on Applied Algebra and Geometry
13 Applied Mathematics and Computation
13 Journal of Computational and Applied Mathematics
13 Journal of Combinatorial Optimization
12 Advances in Applied Mathematics
12 Operations Research Letters
12 Graphs and Combinatorics
12 Japan Journal of Industrial and Applied Mathematics
12 Mathematical Programming. Series A. Series B
11 Israel Journal of Mathematics
11 Advances in Mathematics
11 Automatica
11 Geometriae Dedicata
11 Transactions of the American Mathematical Society
11 Physica D
11 Information and Computation
11 Pattern Recognition
11 Journal of Machine Learning Research (JMLR)
11 SIAM Journal on Applied Dynamical Systems
10 Computing
10 European Journal of Combinatorics
10 Journal of Global Optimization
9 The Annals of Statistics
9 BIT
9 Combinatorics, Probability and Computing
9 Algebraic & Geometric Topology
9 Mathematics in Computer Science
8 Information Sciences
8 Journal of Multivariate Analysis
8 SIAM Journal on Discrete Mathematics
8 International Journal of Computer Mathematics
8 Journal of Discrete Algorithms
7 Mathematics of Computation
7 Computers & Operations Research
7 Computational Statistics
7 Bulletin of the American Mathematical Society. New Series
7 Applicable Algebra in Engineering, Communication and Computing
7 SIAM Journal on Scientific Computing
7 Annals of Mathematics and Artificial Intelligence
7 Electronic Journal of Statistics
6 Advances in Applied Probability
6 Artificial Intelligence
6 Journal of Mathematical Biology
6 Physica A
6 Bulletin of Mathematical Biology
6 Applied Mathematics Letters
6 Neural Networks
6 Random Structures & Algorithms
6 The Annals of Applied Probability
6 International Journal of Foundations of Computer Science
6 Mathematical Problems in Engineering
5 Mathematical Methods in the Applied Sciences
5 ACM Transactions on Mathematical Software
5 Journal of the American Statistical Association
5 Journal of Pure and Applied Algebra
5 Proceedings of the American Mathematical Society
5 Applied Numerical Mathematics
5 Journal of Complexity
5 Applied Mathematical Modelling
5 Linear Algebra and its Applications
5 Journal of Knot Theory and its Ramifications
5 International Journal of Shape Modeling
5 Chaos
5 ACM Journal of Experimental Algorithmics
5 The Annals of Applied Statistics
5 Journal of Theoretical Biology
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 SIAM Journal on Mathematics of Data Science
4 Computers and Fluids
4 Inventiones Mathematicae
4 Journal of Combinatorial Theory. Series B
4 Journal of Geometry
4 Mathematics and Computers in Simulation
4 Networks
...and 330 more Serials
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Cited in 58 Fields

1,602 Computer science (68-XX)
583 Convex and discrete geometry (52-XX)
506 Numerical analysis (65-XX)
497 Algebraic topology (55-XX)
373 Combinatorics (05-XX)
285 Statistics (62-XX)
232 Operations research, mathematical programming (90-XX)
163 Manifolds and cell complexes (57-XX)
117 Biology and other natural sciences (92-XX)
99 Probability theory and stochastic processes (60-XX)
88 Geometry (51-XX)
72 Fluid mechanics (76-XX)
71 Dynamical systems and ergodic theory (37-XX)
70 Mechanics of deformable solids (74-XX)
56 Differential geometry (53-XX)
54 Algebraic geometry (14-XX)
51 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
49 General topology (54-XX)
43 Global analysis, analysis on manifolds (58-XX)
41 Information and communication theory, circuits (94-XX)
34 Category theory; homological algebra (18-XX)
31 Systems theory; control (93-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
28 Partial differential equations (35-XX)
25 Approximations and expansions (41-XX)
25 Statistical mechanics, structure of matter (82-XX)
21 Number theory (11-XX)
20 Commutative algebra (13-XX)
20 Quantum theory (81-XX)
19 Mathematical logic and foundations (03-XX)
19 Measure and integration (28-XX)
17 Associative rings and algebras (16-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
16 Functional analysis (46-XX)
14 Order, lattices, ordered algebraic structures (06-XX)
13 General and overarching topics; collections (00-XX)
13 Operator theory (47-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Real functions (26-XX)
10 Mechanics of particles and systems (70-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Functions of a complex variable (30-XX)
8 Geophysics (86-XX)
7 Relativity and gravitational theory (83-XX)
6 History and biography (01-XX)
6 Ordinary differential equations (34-XX)
5 Astronomy and astrophysics (85-XX)
4 Field theory and polynomials (12-XX)
4 Group theory and generalizations (20-XX)
3 Abstract harmonic analysis (43-XX)
3 Integral equations (45-XX)
3 Optics, electromagnetic theory (78-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 Classical thermodynamics, heat transfer (80-XX)

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