| Publication | Date of Publication | Type |
|---|
| The Depth Poset of a Filtered Lefschetz Complex | 2023-11-24 | Paper |
| Maximum Betti numbers of \v{C}ech complexes | 2023-10-23 | Paper |
| A simple algorithm for higher-order Delaunay mosaics and alpha shapes | 2023-04-21 | Paper |
| On the Size of Chromatic Delaunay Mosaics | 2022-12-06 | Paper |
| On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane | 2022-04-03 | Paper |
| Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics | 2022-03-22 | Paper |
| The weighted mean curvature derivative of a space-filling diagram | 2021-10-26 | Paper |
| The weighted Gaussian curvature derivative of a space-filling diagram | 2021-10-26 | Paper |
| A step in the Delaunay mosaic of order \(k\) | 2021-06-24 | Paper |
| The multi-cover persistence of Euclidean balls | 2021-04-29 | Paper |
| The Density Fingerprint of a Periodic Point Set | 2021-04-22 | Paper |
| Čech-Delaunay gradient flow and homology inference for self-maps | 2021-01-26 | Paper |
| Average and Expected Distortion of Voronoi Paths and Scapes | 2020-12-06 | Paper |
| Tri-partitions and bases of an ordered complex | 2020-10-23 | Paper |
| Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally | 2020-09-08 | Paper |
| The Multi-cover Persistence of Euclidean Balls | 2020-08-18 | Paper |
| The Beauty of Random Polytopes Inscribed in the 2-sphere | 2020-07-15 | Paper |
| Weighted Poisson--Delaunay Mosaics | 2020-02-17 | Paper |
| Holes and dependences in an ordered complex | 2019-11-27 | Paper |
| Poisson-Delaunay mosaics of order \(k\) | 2019-11-07 | Paper |
| Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions | 2019-09-16 | Paper |
| 3D Kinetic Alpha Complexes and Their Implementation | 2019-09-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4633803 | 2019-05-06 | Paper |
| Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics | 2018-11-07 | Paper |
| The Voronoi functional is maximized by the Delaunay triangulation in the plane | 2018-07-23 | Paper |
| The Morse Theory of Čech and Delaunay Filtrations | 2018-04-23 | Paper |
| On the Optimality of the FCC Lattice for Soft Sphere Packing | 2018-04-06 | Paper |
| Multiple covers with balls. I: Inclusion-exclusion | 2018-02-19 | Paper |
| Inclusion-exclusion formulas from independent complexes | 2017-10-20 | Paper |
| Stability of persistence diagrams | 2017-10-20 | Paper |
| Inequalities for the curvature of curves and surfaces | 2017-10-20 | Paper |
| Fast software for box intersections | 2017-09-29 | Paper |
| Hierarchical morse complexes for piecewise linear 2-manifolds | 2017-09-29 | Paper |
| Sink-insertion for mesh improvement | 2017-09-29 | Paper |
| Loops in reeb graphs of 2-manifolds | 2017-09-29 | Paper |
| Morse-smale complexes for piecewise linear 3-manifolds | 2017-09-29 | Paper |
| Extreme elevation on a 2-manifold | 2017-09-29 | Paper |
| Time-varying reeb graphs for continuous space-time data | 2017-09-29 | Paper |
| Persistent Homology: Theory and Practice | 2017-06-08 | Paper |
| Multiple covers with balls. II: Weighted averages | 2017-02-13 | Paper |
| The Morse theory of Čech and Delaunay complexes | 2017-02-09 | Paper |
| Smooth surfaces for multi-scale shape representation | 2017-01-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2807963 | 2016-05-25 | Paper |
| Triangulations from topologically correct digital Voronoi diagrams | 2015-12-30 | Paper |
| Approximation and convergence of the intrinsic volume | 2015-12-03 | Paper |
| The persistent homology of a self-map | 2015-10-28 | Paper |
| Sliver exudation | 2015-09-19 | Paper |
| Improved bounds on weak ε-nets for convex sets | 2015-05-07 | Paper |
| Stable length estimates of tube-like shapes | 2015-01-28 | Paper |
| Smoothing and cleaning up slivers | 2014-09-26 | Paper |
| Functionals on Triangulations of Delaunay Sets | 2014-08-19 | Paper |
| Add isotropic Gaussian kernels at own risk | 2014-08-07 | Paper |
| Alexander duality for functions | 2014-08-07 | Paper |
| A short course in computational geometry and topology | 2014-05-07 | Paper |
| Computing elevation maxima by searching the gauss sphere | 2014-04-01 | Paper |
| Add isotropic Gaussian kernels at own risk: more and more resilient modes in higher dimensions | 2013-08-05 | Paper |
| Persistent Homology in Image Processing | 2013-05-28 | Paper |
| On the configuration space of Steiner minimal trees | 2013-04-19 | Paper |
| Homology and robustness of level and interlevel sets | 2013-04-16 | Paper |
| On the optimality of functionals over triangulations of Delaunay sets | 2012-12-17 | Paper |
| Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web | 2012-03-09 | Paper |
| Dual complexes of cubical subdivisions of \({\mathbb{R}}^{n}\) | 2012-03-01 | Paper |
| Quantifying transversality by measuring the robustness of intersections | 2011-06-16 | Paper |
| Covering and Packing with Spheres by Diagonal Distortion in ℝ n | 2011-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3085184 | 2011-03-30 | Paper |
| The Robustness of Level Sets | 2010-09-06 | Paper |
| Persistent Homology under Non-uniform Error | 2010-09-03 | Paper |
| Mean-Payoff Automaton Expressions | 2010-08-31 | Paper |
| Lipschitz functions have \(L_{p}\)-stable persistence | 2010-04-28 | Paper |
| Discrete and Computational Geometry | 2010-02-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3655278 | 2010-01-07 | Paper |
| Stability and Computation of Medial Axes - a State-of-the-Art Report | 2009-12-11 | Paper |
| Extending persistence using Poincaré and Lefschetz duality | 2009-07-13 | Paper |
| Alpha-Beta Witness Complexes | 2009-02-17 | Paper |
| Reeb spaces of piecewise linear mappings | 2009-02-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3601530 | 2009-02-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3601531 | 2009-02-10 | Paper |
| Interface surfaces for protein-protein complexes | 2008-12-21 | Paper |
| Time-varying Reeb graphs for continuous space-time data | 2008-09-19 | Paper |
| Inequalities for the curvature of curves and surfaces | 2008-09-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3514524 | 2008-07-21 | Paper |
| A combinatorial approach to cartograms. | 2008-04-25 | Paper |
| Inclusion-exclusion formulas from independent complexes | 2007-02-14 | Paper |
| Stability of persistence diagrams | 2007-02-14 | Paper |
| Extreme elevation on a 2-manifold | 2006-12-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5482447 | 2006-08-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5290262 | 2006-04-28 | Paper |
| Geometry and Topology for Mesh Generation | 2006-04-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5692706 | 2005-09-28 | Paper |
| The weighted-volume derivative of a space-filling diagram | 2005-07-19 | Paper |
| SINK INSERTION FOR MESH IMPROVEMENT | 2005-06-22 | Paper |
| ADAPTIVE SIMPLICIAL GRIDS FROM CROSS-SECTIONS OF MONOTONE COMPLEXES | 2005-06-10 | Paper |
| Loops in Reeb graphs of 2-manifolds | 2005-02-11 | Paper |
| An area derivative of a space-filling diagram | 2005-01-25 | Paper |
| Computing the writhing number of a polygonal knot | 2004-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4829015 | 2004-11-29 | Paper |
| FAST SOFTWARE FOR BOX INTERSECTIONS | 2004-09-29 | Paper |
| Computing linking numbers of a filtration | 2004-03-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4431222 | 2003-10-21 | Paper |
| Area, perimeter and derivatives of a skin curve | 2003-08-25 | Paper |
| Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds | 2003-08-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4413783 | 2003-07-21 | Paper |
| Computing Linking Numbers of a Filtration | 2003-04-06 | Paper |
| Topological persistence and simplification | 2003-03-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550963 | 2002-10-29 | Paper |
| Design and analysis of planar shape deformation | 2002-10-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2768271 | 2002-07-22 | Paper |
| Dynamic skin triangulation | 2002-05-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2736418 | 2001-10-23 | Paper |
| Shape space from deformation | 2001-10-14 | Paper |
| Edgewise subdivision of a simplex | 2001-09-11 | Paper |
| Geometry and Topology for Mesh Generation | 2001-08-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4499949 | 2000-12-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4252709 | 2000-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4251952 | 1999-09-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4225301 | 1999-07-19 | Paper |
| On the definition and the construction of pockets in macromolecules | 1999-06-20 | Paper |
| Deformable smooth surface design | 1999-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3839001 | 1998-08-13 | Paper |
| Triangulating Topological Spaces | 1998-05-10 | Paper |
| Inclusion-exclusion complexes for pseudodisk collections | 1997-11-17 | Paper |
| Cutting dense point sets in half | 1997-05-19 | Paper |
| An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere | 1997-02-27 | Paper |
| Triangulating the surface of a molecule | 1997-02-25 | Paper |
| Incremental topological flipping works for regular triangulations | 1996-06-27 | Paper |
| Lines in space: Combinatorics and algorithms | 1996-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4274017 | 1995-11-06 | Paper |
| Algorithms for bichromatic line-segment problems and polyhedral terrains | 1995-08-20 | Paper |
| The union of balls and its dual shape | 1995-07-02 | Paper |
| Selecting Heavily Covered Points | 1995-04-06 | Paper |
| Improved bounds on weak \(\varepsilon\)-nets for convex sets | 1995-04-03 | Paper |
| Counting triangle crossings and halving planes | 1994-11-27 | Paper |
| An optimal algorithm for intersecting line segments in the plane | 1994-11-13 | Paper |
| Ray shooting in polygons using geodesic triangulations | 1994-08-10 | Paper |
| Three-dimensional alpha shapes | 1994-06-19 | Paper |
| Computing a Face in an Arrangement of Line Segments and Related Problems | 1994-02-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3138981 | 1993-10-20 | Paper |
| Diameter, width, closest line pair, and parametric searching | 1993-09-30 | Paper |
| An upper bound for conforming Delaunay triangulations | 1993-09-30 | Paper |
| A Quadratic Time Algorithm for the Minmax Length Triangulation | 1993-09-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4036602 | 1993-05-18 | Paper |
| On the Zone Theorem for Hyperplane Arrangements | 1993-05-17 | Paper |
| The number of edges of many faces in a line segment arrangement | 1993-01-17 | Paper |
| Optimal time bounds for some proximity problems in the plane | 1993-01-16 | Paper |
| An $O(n^2 \log n)$ Time Algorithm for the Minmax Angle Triangulation | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4011311 | 1992-09-27 | Paper |
| Counting and cutting cycles of lines and rods in space | 1992-09-27 | Paper |
| Arrangements of curves in the plane --- topology, combinatorics, and algorithms | 1992-06-28 | Paper |
| A singly exponential stratification scheme for real semi-algebraic varieties and its applications | 1992-06-26 | Paper |
| A lower bound on the number of unit distances between the vertices of a convex polygon | 1992-06-25 | Paper |
| Euclidean minimum spanning trees and bichromatic closest pairs | 1992-06-25 | Paper |
| Points and triangles in the plane and halving planes in space | 1992-06-25 | Paper |
| An $O(n\log ^2 h)$ Time Algorithm for the Three-Dimensional Convex Hull Problem | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3359793 | 1991-01-01 | Paper |
| Corrigendum: Topologically sweeping an arrangement | 1991-01-01 | Paper |
| Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms | 1990-01-01 | Paper |
| Ranking intervals under visibility constraints∗ | 1990-01-01 | Paper |
| Computing Least Median of Squares Regression Lines and Guided Topological Sweep | 1990-01-01 | Paper |
| The complexity and construction of many faces in arrangements of lines and of segments | 1990-01-01 | Paper |
| The complexity of many cells in arrangements of planes and related problems | 1990-01-01 | Paper |
| The maximum number of ways to stab n convex nonintersecting sets in the plane is 2n-2 | 1990-01-01 | Paper |
| An acyclicity theorem for cell complexes in d dimensions | 1990-01-01 | Paper |
| Searching for empty convex polygons | 1990-01-01 | Paper |
| Covering convex sets with non-overlapping polygons | 1990-01-01 | Paper |
| Combinatorial complexity bounds for arrangements of curves and spheres | 1990-01-01 | Paper |
| Tetrahedrizing point sets in three dimensions | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3481216 | 1989-01-01 | Paper |
| On the Number of Furthest Neighbour Pairs in a Point Set | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3823794 | 1989-01-01 | Paper |
| Partitioning Space for Range Queries | 1989-01-01 | Paper |
| The upper envelope of piecewise linear functions: Tight bounds on the number of faces | 1989-01-01 | Paper |
| The upper envelope of piecewise linear functions: Algorithms and applications | 1989-01-01 | Paper |
| The complexity of cutting complexes | 1989-01-01 | Paper |
| Topologically sweeping an arrangement | 1989-01-01 | Paper |
| Testing the necklace condition for shortest tours and optimal factors in the plane | 1989-01-01 | Paper |
| On arrangements of Jordan arcs with three intersections per pair | 1989-01-01 | Paper |
| Implicitly representing arrangements of lines or segments | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3795219 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3795224 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3817600 | 1988-01-01 | Paper |
| Minimum polygonal separation | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3772828 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3776619 | 1987-01-01 | Paper |
| An Improved Algorithm for Constructing kth-Order Voronoi Diagrams | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3823824 | 1987-01-01 | Paper |
| Space searching for intersecting objects | 1987-01-01 | Paper |
| Space searching for intersecting objects | 1987-01-01 | Paper |
| Linear space data structures for two types of range search | 1987-01-01 | Paper |
| Zooming by repeated range detection | 1987-01-01 | Paper |
| A tight lower bound on the size of visibility graphs | 1987-01-01 | Paper |
| Optimal Point Location in a Monotone Subdivision | 1986-01-01 | Paper |
| Constructing Arrangements of Lines and Hyperplanes with Applications | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3767939 | 1986-01-01 | Paper |
| Constructing Belts in Two-Dimensional Arrangements with Applications | 1986-01-01 | Paper |
| On the maximal number of edges of many faces in an arrangement | 1986-01-01 | Paper |
| Voronoi diagrams and arrangements | 1986-01-01 | Paper |
| The number of extreme pairs of finite point-sets in Euclidean spaces | 1986-01-01 | Paper |
| Computing a ham-sandwich cut in two dimensions | 1986-01-01 | Paper |
| Edge-skeletons in arrangements with applications | 1986-01-01 | Paper |
| Halfplanar range search in linear space and \(O(n^{0.695})\) query time | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3687755 | 1985-01-01 | Paper |
| Batched dynamic solutions to decomposable searching problems | 1985-01-01 | Paper |
| Computing the extreme distances between two convex polygons | 1985-01-01 | Paper |
| Optimal solutions for a class of point retrieval problems | 1985-01-01 | Paper |
| Finding extreme points in three dimensions and solving the post-office problem in the plane | 1985-01-01 | Paper |
| Finding transversals for sets of simple geometric figures | 1985-01-01 | Paper |
| On the number of line separations of a finite set in the plane | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3332266 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3707422 | 1984-01-01 | Paper |
| Some methods of computational geometry applied to computer graphics | 1984-01-01 | Paper |
| An optimal algorithm for constructing the weighted Voronoi diagram in the plane | 1984-01-01 | Paper |
| Efficient algorithms for agglomerative hierarchical clustering methods | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3323308 | 1983-01-01 | Paper |
| On the shape of a set of points in the plane | 1983-01-01 | Paper |
| A new approach to rectangle intersections part I | 1983-01-01 | Paper |
| A new approach to rectangle intersections | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3673567 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3323309 | 1982-01-01 | Paper |
| Stabbing line segments | 1982-01-01 | Paper |
| Polygonal intersection searching | 1982-01-01 | Paper |
| On the equivalence of some rectangle problems | 1982-01-01 | Paper |
| A space-optimal solution of general region location | 1981-01-01 | Paper |
