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Herbert Edelsbrunner
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- affiliation: Institute of Science and Technology Austria, Klosterneuburg, Austria
- affiliation (former): Duke University, Durham, USA
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2020 – today
- 2024
- [j152]Herbert Edelsbrunner
, Alexey Garber
, Mohadese Ghafari, Teresa Heiss
, Morteza Saghafian
:
On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane. Discret. Comput. Geom. 72(1): 29-48 (2024) - [j151]Herbert Edelsbrunner, Katharina Ölsböck, Hubert Wagner:
Understanding Higher-Order Interactions in Information Space. Entropy 26(8): 637 (2024) - [j150]Ranita Biswas
, Sebastiano Cultrera di Montesano
, Herbert Edelsbrunner
, Morteza Saghafian
:
Depth in arrangements: Dehn-Sommerville-Euler relations with applications. J. Appl. Comput. Topol. 8(3): 557-578 (2024) - [j149]Ranita Biswas
, Sebastiano Cultrera di Montesano
, Herbert Edelsbrunner
, Morteza Saghafian
:
Geometric characterization of the persistence of 1D maps. J. Appl. Comput. Topol. 8(5): 1101-1119 (2024) - [j148]Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss
, Morteza Saghafian, Mathijs Wintraecken:
Brillouin Zones of Integer Lattices and Their Perturbations. SIAM J. Discret. Math. 38(2): 1784-1807 (2024) - [c130]Herbert Edelsbrunner, János Pach:
Maximum Betti Numbers of Čech Complexes. SoCG 2024: 53:1-53:14 - [c129]Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, Morteza Saghafian:
The Euclidean MST-Ratio for Bi-Colored Lattices. GD 2024: 3:1-3:23 - [c128]Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, Monika Henzinger, Lara Ost:
Dynamically Maintaining the Persistent Homology of Time Series. SODA 2024: 243-295 - [i32]Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, Morteza Saghafian:
The Euclidean MST-ratio for Bi-colored Lattices. CoRR abs/2403.10204 (2024) - [i31]Lara Ost, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner:
Banana Trees for the Persistence in Time Series Experimentally. CoRR abs/2405.17920 (2024) - [i30]Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, Morteza Saghafian
:
Chromatic Topological Data Analysis. CoRR abs/2406.04102 (2024) - [i29]Herbert Edelsbrunner, Teresa Heiss:
Merge Trees of Periodic Filtrations. CoRR abs/2408.16575 (2024) - [i28]Herbert Edelsbrunner, Alexey Garber, Morteza Saghafian:
On Spheres with k Points Inside. CoRR abs/2410.21204 (2024) - 2023
- [j147]Herbert Edelsbrunner
, Georg Osang
:
A Simple Algorithm for Higher-Order Delaunay Mosaics and Alpha Shapes. Algorithmica 85(1): 277-295 (2023) - [j146]Patrice Koehl
, Arseniy V. Akopyan, Herbert Edelsbrunner:
Computing the Volume, Surface Area, Mean, and Gaussian Curvatures of Molecules and Their Derivatives. J. Chem. Inf. Model. 63(3): 973-985 (2023) - [i27]Herbert Edelsbrunner, Alexey Garber, Morteza Saghafian
:
Order-2 Delaunay Triangulations Optimize Angles. CoRR abs/2310.18238 (2023) - [i26]Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, Monika Henzinger, Lara Ost:
Dynamically Maintaining the Persistent Homology of Time Series. CoRR abs/2311.01115 (2023) - [i25]Herbert Edelsbrunner, Marian Mrozek:
The Depth Poset of a Filtered Lefschetz Complex. CoRR abs/2311.14364 (2023) - 2022
- [j145]Ranita Biswas
, Sebastiano Cultrera di Montesano
, Herbert Edelsbrunner
, Morteza Saghafian
:
Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics. Discret. Comput. Geom. 67(3): 811-842 (2022) - [i24]Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss, Morteza Saghafian
:
On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane. CoRR abs/2204.01076 (2022) - [i23]Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss, Morteza Saghafian
, Mathijs Wintraecken:
Brillouin Zones of Integer Lattices and Their Perturbations. CoRR abs/2204.01077 (2022) - [i22]Ranita Biswas
, Sebastiano Cultrera di Montesano, Ondrej Draganov
, Herbert Edelsbrunner, Morteza Saghafian
:
On the Size of Chromatic Delaunay Mosaics. CoRR abs/2212.03121 (2022) - [i21]Sebastiano Cultrera di Montesano, Ondrej Draganov
, Herbert Edelsbrunner, Morteza Saghafian
:
Persistent Homology of Chromatic Alpha Complexes. CoRR abs/2212.03128 (2022) - 2021
- [j144]Herbert Edelsbrunner
, Georg Osang
:
The Multi-Cover Persistence of Euclidean Balls. Discret. Comput. Geom. 65(4): 1296-1313 (2021) - [c127]Ranita Biswas
, Sebastiano Cultrera di Montesano
, Herbert Edelsbrunner, Morteza Saghafian
:
Counting Cells of Order-k Voronoi Tessellations in ℝ³ with Morse Theory. SoCG 2021: 16:1-16:15 - [c126]Herbert Edelsbrunner, Teresa Heiss
, Vitaliy Kurlin
, Philip Smith, Mathijs Wintraecken
:
The Density Fingerprint of a Periodic Point Set. SoCG 2021: 32:1-32:16 - [i20]Herbert Edelsbrunner, Katharina Ölsböck:
Tri-Partitions and Bases of an Ordered Complex. CoRR abs/2103.10830 (2021) - [i19]Herbert Edelsbrunner, Teresa Heiss, Vitaliy Kurlin, Philip Smith, Mathijs Wintraecken:
The Density Fingerprint of a Periodic Point Set. CoRR abs/2104.11046 (2021) - 2020
- [j143]Herbert Edelsbrunner, Katharina Ölsböck
:
Tri-partitions and Bases of an Ordered Complex. Discret. Comput. Geom. 64(3): 759-775 (2020) - [j142]Ulrich Bauer
, Herbert Edelsbrunner
, Grzegorz Jablonski
, Marian Mrozek
:
Čech-Delaunay gradient flow and homology inference for self-maps. J. Appl. Comput. Topol. 4(4): 455-480 (2020) - [j141]Herbert Edelsbrunner, Ziga Virk, Hubert Wagner:
Topological data analysis in information space. J. Comput. Geom. 11(2): 162-182 (2020) - [i18]Herbert Edelsbrunner, Georg Osang:
A Simple Algorithm for Higher-order Delaunay Mosaics and Alpha Shapes. CoRR abs/2011.03617 (2020)
2010 – 2019
- 2019
- [j140]Herbert Edelsbrunner, Katharina Ölsböck:
Holes and dependences in an ordered complex. Comput. Aided Geom. Des. 73: 1-15 (2019) - [j139]Herbert Edelsbrunner, Anton V. Nikitenko
:
Poisson-Delaunay Mosaics of Order k. Discret. Comput. Geom. 62(4): 865-878 (2019) - [c125]Herbert Edelsbrunner, Ziga Virk
, Hubert Wagner:
Topological Data Analysis in Information Space. SoCG 2019: 31:1-31:14 - [i17]Herbert Edelsbrunner, Ziga Virk, Hubert Wagner:
Topological Data Analysis in Information Space. CoRR abs/1903.08510 (2019) - [i16]Arseniy V. Akopyan, Herbert Edelsbrunner:
The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram. CoRR abs/1908.06777 (2019) - [i15]Arseniy V. Akopyan, Herbert Edelsbrunner:
The Weighted Mean Curvature Derivative of a Space-Filling Diagram. CoRR abs/1908.06779 (2019) - 2018
- [j138]Herbert Edelsbrunner, Mabel Iglesias Ham:
Multiple covers with balls I: Inclusion-exclusion. Comput. Geom. 68: 119-133 (2018) - [j137]Herbert Edelsbrunner, Hubert Wagner:
Topological data analysis with Bregman divergences. J. Comput. Geom. 9(2): 67-86 (2018) - [j136]Herbert Edelsbrunner, Mabel Iglesias Ham:
On the Optimality of the FCC Lattice for Soft Sphere Packing. SIAM J. Discret. Math. 32(1): 750-782 (2018) - [c124]Herbert Edelsbrunner, Georg Osang:
The Multi-cover Persistence of Euclidean Balls. SoCG 2018: 34:1-34:14 - [c123]Herbert Edelsbrunner, Ziga Virk
, Hubert Wagner:
Smallest Enclosing Spheres and Chernoff Points in BregmanGeometry. SoCG 2018: 35:1-35:13 - 2017
- [j135]Herbert Edelsbrunner, Alexey A. Glazyrin, Oleg R. Musin, Anton V. Nikitenko:
The Voronoi functional is maximized by the Delaunay triangulation in the plane. Comb. 37(5): 887-910 (2017) - [c122]Herbert Edelsbrunner, Hubert Wagner:
Topological Data Analysis with Bregman Divergences. SoCG 2017: 39:1-39:16 - [i14]Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek:
Persistence in sampled dynamical systems faster. CoRR abs/1709.04068 (2017) - 2016
- [j134]Herbert Edelsbrunner, Mabel Iglesias Ham:
Multiple Covers with Balls II: Weighted Averages. Electron. Notes Discret. Math. 54: 169-174 (2016) - [j133]Olga D. Dunaeva
, Herbert Edelsbrunner, Anton Lukyanov, Michael Machin, Daria Malkova, Roman Kuvaev, Sergey Kashin
:
The classification of endoscopy images with persistent homology. Pattern Recognit. Lett. 83: 13-22 (2016) - [i13]Herbert Edelsbrunner, Hubert Wagner:
Topological Data Analysis with Bregman Divergences. CoRR abs/1607.06274 (2016) - 2015
- [j132]Thanh-Tung Cao, Herbert Edelsbrunner, Tiow Seng Tan:
Triangulations from topologically correct digital Voronoi diagrams. Comput. Geom. 48(7): 507-519 (2015) - [j131]Herbert Edelsbrunner, Grzegorz Jablonski
, Marian Mrozek:
The Persistent Homology of a Self-Map. Found. Comput. Math. 15(5): 1213-1244 (2015) - [c121]Mabel Iglesias Ham, Herbert Edelsbrunner, Vitaliy Kurlin:
Relaxed Disk Packing. CCCG 2015 - [i12]Herbert Edelsbrunner, Mabel Iglesias Ham, Vitaliy Kurlin:
Relaxed Disk Packing. CoRR abs/1505.03402 (2015) - 2014
- [j130]Herbert Edelsbrunner, Florian Pausinger
:
Stable Length Estimates of Tube-Like Shapes. J. Math. Imaging Vis. 50(1-2): 164-177 (2014) - [c120]Ulrich Bauer
, Herbert Edelsbrunner:
The Morse Theory of Čech and Delaunay Filtrations. SoCG 2014: 484 - [c119]Herbert Edelsbrunner:
The Geometry and Topology of Data Analysis. DATA 2014: IS-5 - [c118]Herbert Edelsbrunner, Salman Parsa:
On the Computational Complexity of Betti Numbers: Reductions from Matrix Rank. SODA 2014: 152-160 - [c117]Olga D. Dunaeva
, Herbert Edelsbrunner, Anton Lukyanov
, Michael Machin, Daria Malkova:
The Classification of Endoscopy Images with Persistent Homology. SYNASC 2014: 565-570 - 2013
- [j129]Herbert Edelsbrunner, Brittany Terese Fasy
, Günter Rote:
Add Isotropic Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions. Discret. Comput. Geom. 49(4): 797-822 (2013) - [c116]Michael Kerber, Herbert Edelsbrunner:
3D kinetic alpha complexes and their implementation. ALENEX 2013: 70-77 - [c115]Herbert Edelsbrunner:
Persistent Homology in Image Processing. GbRPR 2013: 182-183 - [i11]Ulrich Bauer, Herbert Edelsbrunner:
The Morse theory of Čech and Delaunay filtrations. CoRR abs/1312.1231 (2013) - 2012
- [j128]Herbert Edelsbrunner, Michael Kerber:
Dual Complexes of Cubical Subdivisions of ℝ n. Discret. Comput. Geom. 47(2): 393-414 (2012) - [j127]Paul Bendich, Sergio Cabello
, Herbert Edelsbrunner:
A point calculus for interlevel set homology. Pattern Recognit. Lett. 33(11): 1436-1444 (2012) - [c114]Herbert Edelsbrunner, Brittany Terese Fasy
, Günter Rote:
Add isotropic Gaussian kernels at own risk: more and more resilient modes in higher dimensions. SCG 2012: 91-100 - [c113]Herbert Edelsbrunner, Michael Kerber:
Alexander duality for functions: the persistent behavior of land and water and shore. SCG 2012: 249-258 - [c112]Herbert Edelsbrunner, Olga Symonova:
The Adaptive Topology of a Digital Image. ISVD 2012: 41-48 - [i10]Herbert Edelsbrunner, Carl-Philipp Heisenberg, Michael Kerber, Gabriel Krens:
The Medusa of Spatial Sorting: Topological Construction. CoRR abs/1207.6474 (2012) - [i9]Michael Kerber, Herbert Edelsbrunner:
The Medusa of Spatial Sorting: 3D Kinetic Alpha Complexes and Implementation. CoRR abs/1209.5434 (2012) - 2011
- [j126]Herbert Edelsbrunner, János Pach, Günter M. Ziegler:
Letter from the New Editors-in-Chief. Discret. Comput. Geom. 45(1): 1-2 (2011) - [j125]Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel:
Quantifying Transversality by Measuring the Robustness of Intersections. Found. Comput. Math. 11(3): 345-361 (2011) - [j124]Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov:
Computing elevation maxima by searching the gauss sphere. ACM J. Exp. Algorithmics 16 (2011) - [j123]Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J. T. Jones, Pratyush Pranav
, Changbom Park, Wojciech A. Hellwing
, Bob Eldering, Nico Kruithof, E. G. P. (Patrick) Bos, Johan Hidding, Job Feldbrugge
, Eline ten Have, Matti van Engelen, Manuel Caroli, Monique Teillaud:
Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web. Trans. Comput. Sci. 14: 60-101 (2011) - [c111]Herbert Edelsbrunner, Michael Kerber:
Covering and Packing with Spheres by Diagonal Distortion in ℝn. Rainbow of Computer Science 2011: 20-35 - [c110]Chao Chen, Herbert Edelsbrunner:
Diffusion runs low on persistence fast. ICCV 2011: 423-430 - [c109]Ying Zheng, Steve Gu, Herbert Edelsbrunner, Carlo Tomasi, Philip Benfey:
Detailed reconstruction of 3D plant root shape. ICCV 2011: 2026-2033 - [p6]Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel:
The Stability of the Apparent Contour of an Orientable 2-Manifold. Topological Methods in Data Analysis and Visualization 2011: 27-41 - [i8]Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel:
Homology and Robustness of Level and Interlevel Sets. CoRR abs/1102.3389 (2011) - [i7]Herbert Edelsbrunner, Michael Kerber:
Alexander Duality for Functions: the Persistent Behavior of Land and Water and Shore. CoRR abs/1109.5052 (2011) - 2010
- [b3]Herbert Edelsbrunner, John Harer:
Computational Topology - an Introduction. American Mathematical Society 2010, ISBN 978-0-8218-4925-5, pp. I-XII, 1-241 - [j122]David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Yuriy Mileyko:
Lipschitz Functions Have Lp-Stable Persistence. Found. Comput. Math. 10(2): 127-139 (2010) - [j121]Paul Bendich, Herbert Edelsbrunner, Michael Kerber:
Computing Robustness and Persistence for Images. IEEE Trans. Vis. Comput. Graph. 16(6): 1251-1260 (2010) - [c108]Krishnendu Chatterjee, Laurent Doyen, Herbert Edelsbrunner, Thomas A. Henzinger, Philippe Rannou:
Mean-Payoff Automaton Expressions. CONCUR 2010: 269-283 - [c107]Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel:
The Robustness of Level Sets. ESA (1) 2010: 1-10 - [c106]Paul Bendich, Herbert Edelsbrunner, Michael Kerber, Amit K. Patel:
Persistent Homology under Non-uniform Error. MFCS 2010: 12-23 - [i6]Krishnendu Chatterjee, Laurent Doyen, Herbert Edelsbrunner, Thomas A. Henzinger, Philippe Rannou:
Mean-payoff Automaton Expressions. CoRR abs/1006.1492 (2010)
2000 – 2009
- 2009
- [j120]David Cohen-Steiner, Herbert Edelsbrunner, John Harer:
Extending Persistence Using Poincaré and Lefschetz Duality. Found. Comput. Math. 9(1): 79-103 (2009) - [j119]David Cohen-Steiner, Herbert Edelsbrunner, John Harer:
Extending Persistence Using Poincaré and Lefschetz Duality. Found. Comput. Math. 9(1): 133-134 (2009) - [c105]Herbert Edelsbrunner, John Harer:
The Persistent Morse Complex Segmentation of a 3-Manifold. 3DPH 2009: 36-50 - [c104]David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov:
Persistent homology for kernels, images, and cokernels. SODA 2009: 1011-1020 - [c103]Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov:
Computing Elevation Maxima by Searching the Gauss Sphere. SEA 2009: 281-292 - [p5]Dominique Attali, Jean-Daniel Boissonnat, Herbert Edelsbrunner:
Stability and Computation of Medial Axes - a State-of-the-Art Report. Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration 2009: 109-125 - [i5]Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel:
Quantifying Transversality by Measuring the Robustness of Intersections. CoRR abs/0911.2142 (2009) - 2008
- [j118]Herbert Edelsbrunner, John Harer, Ajith Mascarenhas, Valerio Pascucci
, Jack Snoeyink
:
Time-varying Reeb graphs for continuous space-time data. Comput. Geom. 41(3): 149-166 (2008) - [c102]Herbert Edelsbrunner, John Harer, Amit K. Patel:
Reeb spaces of piecewise linear mappings. SCG 2008: 242-250 - [p4]Silvia Biasotti
, Dominique Attali, Jean-Daniel Boissonnat, Herbert Edelsbrunner, Gershon Elber, Michela Mortara, Gabriella Sanniti di Baja, Michela Spagnuolo, Mirela Tanase, Remco C. Veltkamp:
Skeletal Structures. Shape Analysis and Structuring 2008: 145-183 - 2007
- [j117]Dominique Attali, Herbert Edelsbrunner:
Inclusion-Exclusion Formulas from Independent Complexes. Discret. Comput. Geom. 37(1): 59-77 (2007) - [j116]David Cohen-Steiner, Herbert Edelsbrunner, John Harer:
Stability of Persistence Diagrams. Discret. Comput. Geom. 37(1): 103-120 (2007) - [j115]David Cohen-Steiner, Herbert Edelsbrunner:
Inequalities for the Curvature of Curves and Surfaces. Found. Comput. Math. 7(4): 391-404 (2007) - [c101]Paul Bendich, David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov:
Inferring Local Homology from Sampled Stratified Spaces. FOCS 2007: 536-546 - [c100]Herbert Edelsbrunner:
An introduction to persistent homology. Symposium on Solid and Physical Modeling 2007: 9 - [c99]Dominique Attali, Herbert Edelsbrunner, Yuriy Mileyko:
Weak witnesses for Delaunay triangulations of submanifolds. Symposium on Solid and Physical Modeling 2007: 143-150 - [c98]Dominique Attali, Herbert Edelsbrunner, John Harer, Yuriy Mileyko:
Alpha-Beta Witness Complexes. WADS 2007: 386-397 - 2006
- [j114]Pankaj K. Agarwal, Herbert Edelsbrunner, John Harer, Yusu Wang:
Extreme Elevation on a 2-Manifold. Discret. Comput. Geom. 36(4): 553-572 (2006) - [j113]Yih-En Andrew Ban, Herbert Edelsbrunner, Johannes Rudolph:
Interface surfaces for protein-protein complexes. J. ACM 53(3): 361-378 (2006) - [c97]David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy Morozov:
Vines and vineyards by updating persistence in linear time. SCG 2006: 119-126 - [c96]Herbert Edelsbrunner, Dmitriy Morozov, Valerio Pascucci:
Persistence-sensitive simplification functions on 2-manifolds. SCG 2006: 127-134 - 2005
- [c95]Dominique Attali, Herbert Edelsbrunner:
Inclusion-exclusion formulas from independent complexes. SCG 2005: 247-254 - [c94]David Cohen-Steiner, Herbert Edelsbrunner, John Harer:
Stability of persistence diagrams. SCG 2005: 263-271 - [c93]David Cohen-Steiner, Herbert Edelsbrunner:
Inequalities for the curvature of curves and surfaces. SCG 2005: 272-277 - [c92]Alexander Tropsha, Herbert Edelsbrunner:
Session Introduction: Biogeometry: Applications of Computational Geometry to Molecular Structure. Pacific Symposium on Biocomputing 2005: 3-4 - [c91]Yusu Wang, Pankaj K. Agarwal, P. Brown, Herbert Edelsbrunner, Johannes Rudolph:
Coarse and Reliable Geometric Alignment for Protein Docking. Pacific Symposium on Biocomputing 2005: 66-77 - [c90]Herbert Edelsbrunner:
Surface Tiling with Differential Topology. Symposium on Geometry Processing 2005: 9-11 - [c89]Dominique Attali, David Cohen-Steiner, Herbert Edelsbrunner:
Extraction and Simplification of Iso-surfaces in Tandem. Symposium on Geometry Processing 2005: 139-148 - 2004
- [j112]Pankaj K. Agarwal, Herbert Edelsbrunner, Yusu Wang:
Computing the Writhing Number of a Polygonal Knot. Discret. Comput. Geom. 32(1): 37-53 (2004) - [j111]Kree Cole-McLaughlin, Herbert Edelsbrunner, John Harer, Vijay Natarajan, Valerio Pascucci
:
Loops in Reeb Graphs of 2-Manifolds. Discret. Comput. Geom. 32(2): 231-244 (2004) - [j110]Robert L. Bryant
, Herbert Edelsbrunner, Patrice Koehl
, Michael Levitt:
The Area Derivative of a Space-Filling Diagram. Discret. Comput. Geom. 32(3): 293-308 (2004) - [j109]Peer-Timo Bremer, Herbert Edelsbrunner, Bernd Hamann, Valerio Pascucci
:
A Topological Hierarchy for Functions on Triangulated Surfaces. IEEE Trans. Vis. Comput. Graph. 10(4): 385-396 (2004) - [j108]Vijay Natarajan, Herbert Edelsbrunner:
Simplification of Three-Dimensional Density Maps. IEEE Trans. Vis. Comput. Graph. 10(5): 587-597 (2004) - [c88]