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Overview

Franz Aurenhammer is affiliated with the Graz University of Technology in Austria. Their research work spans multiple areas within engineering and computer science, with a focus on computational geometry and related subfields.

The scientist's primary fields of study include:

  • Engineering
  • Computer Science

Within these fields, Aurenhammer's work is further concentrated in several subfields:

  • Computer Graphics and Computer-Aided Design
  • Computational Mechanics
  • Building and Construction
  • Mechanical Engineering
  • Architecture

The main topics covered in Aurenhammer's research encompass:

  • Computational Geometry and Mesh Generation
  • 3D Modeling in Geospatial Applications
  • Advanced Numerical Analysis Techniques
  • Advanced Materials and Mechanics
  • Modular Robots and Swarm Intelligence
  • Architecture and Computational Design
  • Data Management and Algorithms

Aurenhammer has published multiple scientific papers, including:

  • Computational Geometry - Some Easy Questions and their Recent Solutions, 2020, TUGraz OPEN Library (Graz University of Technology)
  • Incremental Construction of Motorcycle Graphs, 2022, Algorithms

Although not the lead author, frequent collaboration is noted on:

  • A Novel Type of Skeleton for Polygons, 2020, TUGraz OPEN Library (Graz University of Technology)
  • Mitered Offsets and Skeletons for Circular Arc Polygons, 2020, International Journal of Computational Geometry & Applications

The preferred publication venues for Franz Aurenhammer include:

  • TUGraz OPEN Library (Graz University of Technology)
  • Algorithms
  • International Journal of Computational Geometry & Applications

Frequent coauthors collaborating with Aurenhammer are:

  • Oswin Aichholzer
  • David S. Alberts
  • Bernd Gärtner
  • Christoph Ladurner
  • Michael Steinkogler

Best Publications

  • Voronoi diagrams—a survey of a fundamental geometric data structure

    Franz Aurenhammer

  • Power diagrams: properties, algorithms and applications

    F Aurenhammer

  • A Novel Type of Skeleton for Polygons

    Oswin Aichholzer;Franz Aurenhammer;David Alberts;Bernd Gärtner

  • Voronoi Diagrams and Delaunay Triangulations

    Franz Aurenhammer;Rolf Klein;Der-Tsai Lee

  • Chapter 5 – Voronoi Diagrams*

    Franz Aurenhammer

  • An optimal algorithm for constructing the weighted Voronoi diagram in the plane

    Franz Aurenhammer;Herbert Edelsbrunner

  • Minkowski-Type Theorems and Least-Squares Clustering

    Franz Aurenhammer;F. Hoffmann;Boris Aronov

  • Straight Skeletons for General Polygonal Figures in the Plane

    Oswin Aichholzer;Franz Aurenhammer

  • Enumerating Order Types for Small Point Sets with Applications

    Oswin Aichholzer;Franz Aurenhammer;Hannes Krasser

  • A simple on-line randomized incremental algorithm for computing higher order Voronoi diagrams

    Franz Aurenhammer;Otfried Schwarzkopf

  • Medial axis computation for planar free-form shapes

    O. Aichholzer;W. Aigner;F. Aurenhammer;T. Hackl

  • Quickest Paths, Straight Skeletons, and the City Voronoi Diagram

    Oswin Aichholzer;Franz Aurenhammer;Belén Palop

  • A criterion for the affine equivalence of cell complexes inRd and convex polyhedra inRd+1

    Franz Aurenhammer

  • Cartesian graph factorization at logarithmic cost per edge

    Franz Aurenhammer;Johann Hagauer;Wilfried Imrich

  • On the Crossing Number of Complete Graphs

    O. Aichholzer;F. Aurenhammer;H. Krasser

  • Triangulations intersect nicely

    O. Aichholzer;F. Aurenhammer;Siu-Wing Cheng;N. Katoh

  • Farthest line segment Voronoi diagrams

    F. Aurenhammer;R. L. S. Drysdale;H. Krasser

  • Pseudotriangulations from Surfaces and a Novel Type of Edge Flip

    Oswin Aichholzer;Franz Aurenhammer;Hannes Krasser;Peter Brass

  • A new duality result concerning voronoi diagrams

    Franz Aurenhammer

  • Sequences of spanning trees and a fixed tree theorem

    Oswin Aichholzer;Franz Aurenhammer;Ferran Hurtado

Frequent Co-Authors

Günter Rote
Günter Rote Freie Universität Berlin
Der-Tsai Lee
Der-Tsai Lee Academia Sinica
Naoki Katoh
Naoki Katoh University of Hyogo
Boris Aronov
Boris Aronov New York University
Bettina Speckmann
Bettina Speckmann Eindhoven University of Technology
Danny Z. Chen
Danny Z. Chen University of Notre Dame
Olivier Devillers
Olivier Devillers University of Lorraine
Hiroshi Imai
Hiroshi Imai University of Tokyo
Alejandro A. Schäffer
Alejandro A. Schäffer National Institutes of Health

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