Herbert Edelsbrunner
- On the shape of a set of points in the plane
1983/07/01 by Herbert Edelsbrunner, H. Edelsbrunner, D. Kirkpatrick +3 · 68 citations
Computer Science · Business, Management and Accounting · Social Sciences · #Computational Geometry and Mesh Generation #Facility Location and Emergency Management #Geographic Information Systems Studies
- Stability of Persistence Diagrams
2006/12/11 by David Cohen‐Steiner, David Cohen-Steiner, Herbert Edelsbrunner +1 · 47 citations
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology
- Three-dimensional alpha shapes
1994/10/12 by Herbert Edelsbrunner, Ernst P. Mücke, Edelsbrunner, Herbert +1 · 11 citations
Computer Science · #52B #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #Image Retrieval and Classification Techniques #Metric Geometry (math.MG)
- Simulation of simplicity: a technique to cope with degenerate cases in\n geometric algorithms
1994/10/11 by Herbert Edelsbrunner, Edelsbrunner, Herbert, Ernst P. Mücke +1 · 10 citations
Computer Science · Engineering · #68Q #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Computational Geometry and Mesh Generation #FOS: Computer and information sciences #FOS: Mathematics #Manufacturing Process and Optimization
- Combinatorial complexity bounds for arrangements of curves and spheres
1990/03/01 by Kenneth L. Clarkson, Herbert Edelsbrunner, Leonidas J. Guibas +2 · 4 citations
- The complexity of cutting complexes
1989/03/01 by Bernard Chazelle, Herbert Edelsbrunner, Leonidas J. Guibas +1 · 2 citations
Computer Science · Engineering · Mathematics · #Computational Geometry and Mesh Generation #Optimization and Packing Problems #Point processes and geometric inequalities
- Probing Dark Energy with Alpha Shapes and Betti Numbers
2011/10/25 by Rien van de Weygaert, Pratyush Pranav, van de Weygaert, Rien +19 · 2 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications
- A Simple Algorithm for Higher-order Delaunay Mosaics and Alpha Shapes
2020/11/06 by Herbert Edelsbrunner, Georg Osang, Edelsbrunner, Herbert +1 · 2 citations
Computer Science · Engineering · #3D Shape Modeling and Analysis #68U05 #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #Computer Graphics and Visualization Techniques #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #G.2.1
- Edgewise Subdivision of a Simplex
2000/08/21 by H. Edelsbrunner, Herbert Edelsbrunner, D. R. Grayson +1 · 1 citation
Engineering · Computer Science · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #Robotic Mechanisms and Dynamics
- Chromatic Topological Data Analysis
2024/06/06 by Sebastiano Cultrera di Montesano, di Montesano, Sebastiano Cultrera, Ondřej Draganov +5 · 1 citation
Computer Science · #Computational Geometry (cs.CG) #FOS: Computer and information sciences #Topological and Geometric Data Analysis
- Maximum Persistent Betti Numbers of Čech Complexes
2024/09/08 by Herbert Edelsbrunner, Edelsbrunner, Herbert, Matthew Kahle +3 · 1 voice · 1 citation
Computer Science · Mathematics · #52C45 #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications #Topological and Geometric Data Analysis