Edelsbrunner, Herbert

1. Three-dimensional alpha shapes
   1994/10/12 by Herbert Edelsbrunner, Edelsbrunner, Herbert, Ernst P. Mücke +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)
2. 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
3. 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
4. A Simple Algorithm for Higher-order Delaunay Mosaics and Alpha Shapes
   2020/11/06 by Herbert Edelsbrunner, Edelsbrunner, Herbert, Georg Osang +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
5. The Weighted Mean Curvature Derivative of a Space-Filling Diagram
   2019/08/19 by Akopyan, Arseniy, Edelsbrunner, Herbert · 1 citation
   #Biological Physics (physics.bio-ph) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Physical sciences
6. The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram
   2019/08/19 by Akopyan, Arseniy, Edelsbrunner, Herbert · 1 citation
   #52A38 #92E10 #Biological Physics (physics.bio-ph) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Physical sciences
7. On the Size of Chromatic Delaunay Mosaics
   2022/12/06 by Biswas, Ranita, di Montesano, Sebastiano Cultrera, Draganov, Ondřej +2 · 1 citation
   #Combinatorics (math.CO) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
8. 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
9. 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
10. Merge Trees of Periodic Filtrations
    2024/08/29 by Edelsbrunner, Herbert, Heiss, Teresa · 1 citation
    #05C05 #05C38 #05C40 #05C63 #05C85 #05C90 #05C92 #52C22 #55-08 #55N31 (Primary) #68W05 #92E10 (Secondary) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #G.2.2 #G.2.3 #Metric Geometry (math.MG)