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1

Voronoi diagrams---a survey of a fundamental geometric data structure

Aurenhammer, Franz

Journal:

ACM Computing Surveys

Year:

1991

Language:

english

File:

PDF, 4.94 MB

english, 1991

2

Enumerating Order Types for Small Point Sets with Applications

Oswin Aichholzer, Franz Aurenhammer, Hannes Krasser

Journal:

Year:

2002

Language:

english

File:

PDF, 131 KB

english, 2002

3

[ACM Press the 25th annual symposium - Aarhus, Denmark (2009.06.08-2009.06.10)] Proceedings of the 25th annual symposium on Computational geometry - SCG '09 - Divide-and-conquer for Voronoi diagrams revisited

Aichholzer, Oswin, Aigner, Wolfgang, Aurenhammer, Franz, Hackl, Thomas, Jüttler, Bert, Pilgerstorfer, Elisabeth, Rabl, Margot

Year:

2009

Language:

english

File:

PDF, 915 KB

english, 2009

4

Divide-and-conquer for Voronoi diagrams revisited

Oswin Aichholzer, Wolfgang Aigner, Franz Aurenhammer, Thomas Hackl, Bert Jüttler, Elisabeth Pilgerstorfer, Margot Rabl

Journal:

Computational Geometry

Year:

2010

Language:

english

File:

PDF, 779 KB

english, 2010

5

On k-convex polygons

Oswin Aichholzer, Franz Aurenhammer, Erik D. Demaine, Ferran Hurtado, Pedro Ramos, Jorge Urrutia

Journal:

Computational Geometry

Year:

2012

Language:

english

File:

PDF, 345 KB

english, 2012

6

[IEEE 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops (CVPR Workshops) - San Francisco, CA, USA (2010.06.13-2010.06.18)] 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Workshops - Straight skeletons for binary shapes

Demuth, Markus, Aurenhammer, Franz, Pinz, Axel

Year:

2010

Language:

english

File:

PDF, 212 KB

english, 2010

7

COMPUTATIONAL AND STRUCTURAL ADVANTAGES OF CIRCULAR BOUNDARY REPRESENTATION

AICHHOLZER, OSWIN, AURENHAMMER, FRANZ, HACKL, THOMAS, JÜTTLER, BERT, RABL, MARGOT, ŠÍR, ZBYNEK

Journal:

International Journal of Computational Geometry & Applications

Year:

2011

Language:

english

File:

PDF, 390 KB

english, 2011

8

Partially walking a polygon

Aurenhammer, Franz, Steinkogler, Michael, Klein, Rolf

Journal:

Computational Geometry

Year:

2019

Language:

english

File:

PDF, 328 KB

english, 2019

9

Computing equivalence classes among the edges of a graph with applications

Franz Aurenhammer, Johann Hagauer

Journal:

Discrete Mathematics

Year:

1992

Language:

english

File:

PDF, 896 KB

english, 1992

10

Searching for segments with largest relative overlap

Franz Aurenhammer, Gerd Stöckl

Journal:

Information Processing Letters

Year:

1992

Language:

english

File:

PDF, 476 KB

english, 1992

11

Faster isometric embedding in products of complete graphs

Franz Aurenhammer, Michael Formann, Ramana M. Idury, Alejandro A. Schäffer, Frank Wagner

Journal:

Discrete Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 833 KB

english, 1994

12

Convexity minimizes pseudo-triangulations

Oswin Aichholzer, Franz Aurenhammer, Hannes Krasser, Bettina Speckmann

Journal:

Computational Geometry

Year:

2004

Language:

english

File:

PDF, 204 KB

english, 2004

13

Small weak epsilon-nets

Boris Aronov, Franz Aurenhammer, Ferran Hurtado, Stefan Langerman, David Rappaport, Carlos Seara, Shakhar Smorodinsky

Journal:

Computational Geometry

Year:

2009

Language:

english

File:

PDF, 282 KB

english, 2009

14

Editorial

Oswin Aichholzer, Franz Aurenhammer

Journal:

Computational Geometry

Year:

2009

Language:

english

File:

PDF, 76 KB

english, 2009

15

Connecting colored point sets

Oswin Aichholzer, Franz Aurenhammer, Thomas Hackl, Clemens Huemer

Journal:

Discrete Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 162 KB

english, 2007

16

Transforming spanning trees and pseudo-triangulations

Oswin Aichholzer, Franz Aurenhammer, Clemens Huemer, Hannes Krasser

Journal:

Information Processing Letters

Year:

2006

Language:

english

File:

PDF, 93 KB

english, 2006

17

New results on MWT subgraphs

Oswin Aichholzer, Franz Aurenhammer, Reinhard Hainz

Journal:

Information Processing Letters

Year:

1999

Language:

english

File:

PDF, 488 KB

english, 1999

18

Generalized self-approaching curves

Oswin Aichholzer, Franz Aurenhammer, Christian Icking, Rolf Klein, Elmar Langetepe, Günter Rote

Journal:

Discrete Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 377 KB

english, 2001

19

Approximating uniform triangular meshes in polygons

Franz Aurenhammer, Naoki Katoh, Hiromichi Kojima, Makoto Ohsaki, Yinfeng Xu

Journal:

Theoretical Computer Science

Year:

2002

Language:

english

File:

PDF, 210 KB

english, 2002

20

Towards compatible triangulations

Oswin Aichholzer, Franz Aurenhammer, Ferran Hurtado, Hannes Krasser

Journal:

Theoretical Computer Science

Year:

2003

Language:

english

File:

PDF, 147 KB

english, 2003

21

Sequences of spanning trees and a fixed tree theorem

Oswin Aichholzer, Franz Aurenhammer, Ferran Hurtado

Journal:

Computational Geometry

Year:

2002

Language:

english

File:

PDF, 367 KB

english, 2002

22

Using Gale transforms in computational geometry

Franz Aurenhammer

Journal:

Mathematical Programming

Year:

1991

Language:

english

File:

PDF, 636 KB

english, 1991

23

A new duality result concerning voronoi diagrams

Franz Aurenhammer

Journal:

Discrete & Computational Geometry

Year:

1990

Language:

english

File:

PDF, 695 KB

english, 1990

24

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

Franz Aurenhammer

Journal:

Discrete & Computational Geometry

Year:

1987

Language:

english

File:

PDF, 949 KB

english, 1987

25

Quickest Paths, Straight Skeletons, and the City Voronoi Diagram

Oswin Aichholzer, Franz Aurenhammer, Belén Palop

Journal:

Discrete & Computational Geometry

Year:

2004

Language:

english

File:

PDF, 219 KB

english, 2004

26

Pseudo-Simplicial Complexes from Maximal Locally Convex Functions

Franz Aurenhammer, Hannes Krasser

Journal:

Discrete & Computational Geometry

Year:

2006

Language:

english

File:

PDF, 280 KB

english, 2006

27

Pre-Triangulations and Liftable Complexes

Oswin Aichholzer, Franz Aurenhammer, Thomas Hackl

Journal:

Discrete & Computational Geometry

Year:

2007

Language:

english

File:

PDF, 563 KB

english, 2007

28

Weighted skeletons and fixed-share decomposition

Franz Aurenhammer

Journal:

Computational Geometry

Year:

2008

Language:

english

File:

PDF, 242 KB

english, 2008

29

On minimum weight pseudo-triangulations

Oswin Aichholzer, Franz Aurenhammer, Thomas Hackl, Bettina Speckmann

Journal:

Computational Geometry

Year:

2009

Language:

english

File:

PDF, 160 KB

english, 2009

30

Constant-Level Greedy Triangulations Approximate the MWT Well

Oswin Aichholzer, Franz Aurenhammer, Günter Rote, Yin-Feng Xu

Journal:

Journal of Combinatorial Optimization

Year:

1998

Language:

english

File:

PDF, 79 KB

english, 1998

31

The one-dimensional weighted voronoi diagram

Franz Aurenhammer

Journal:

Information Processing Letters

Year:

1986

Language:

english

File:

PDF, 333 KB

english, 1986

32

Pseudotriangulations from Surfaces and a Novel Type of Edge Flip

Aichholzer, Oswin, Aurenhammer, Franz, Krasser, Hannes, Brass, Peter

Journal:

SIAM Journal on Computing

Year:

2003

Language:

english

File:

PDF, 316 KB

english, 2003

33

Classifying Hyperplanes in Hypercubes

Aichholzer, Oswin, Aurenhammer, Franz

Journal:

SIAM Journal on Discrete Mathematics

Year:

1996

Language:

english

File:

PDF, 1.09 MB

english, 1996

34

On Computing the Convex Hull of (Piecewise) Curved Objects

Aurenhammer, Franz, Jüttler, Bert

Journal:

Mathematics in Computer Science

Year:

2012

Language:

english

File:

PDF, 311 KB

english, 2012

35

Voronoi Diagrams and Delaunay Triangulations || BACK MATTER

Aurenhammer, Franz, Klein, Rolf, Lee, Der-Tsai

Year:

2013

Language:

english

File:

PDF, 430 KB

english, 2013

36

Voronoi Diagrams and Delaunay Triangulations || FRONT MATTER

Aurenhammer, Franz, Klein, Rolf, Lee, Der-Tsai

Year:

2013

Language:

english

File:

PDF, 377 KB

english, 2013

37

On shape Delaunay tessellations

Aurenhammer, Franz, Paulini, Günter

Journal:

Information Processing Letters

Year:

2014

Language:

english

File:

PDF, 506 KB

english, 2014

38

On k-convex point sets

Aichholzer, Oswin, Aurenhammer, Franz, Hackl, Thomas, Hurtado, Ferran, Pilz, Alexander, Ramos, Pedro, Urrutia, Jorge, Valtr, Pavel, Vogtenhuber, Birgit

Journal:

Computational Geometry

Year:

2014

Language:

english

File:

PDF, 620 KB

english, 2014

39

On triangulation axes of polygons

Aigner, Wolfgang, Aurenhammer, Franz, Jüttler, Bert

Journal:

Information Processing Letters

Year:

2015

Language:

english

File:

PDF, 447 KB

english, 2015

40

[IEEE 2013 10th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD) - St Petersburg, Russia (2013.07.8-2013.07.10)] 2013 10th International Symposium on Voronoi Diagrams in Science and Engineering - Voronoi Diagrams from (Possibly Discontinuous) Embeddings

Kapl, Mario, Aurenhammer, Franz, Juttler, Bert

Year:

2013

Language:

english

File:

PDF, 857 KB

english, 2013

41

Guest Editor's Foreword

Aurenhammer, Franz

Journal:

International Journal of Computational Geometry & Applications

Year:

1995

File:

PDF, 31 KB

1995

42

A SIMPLE ON-LINE RANDOMIZED INCREMENTAL ALGORITHM FOR COMPUTING HIGHER ORDER VORONOI DIAGRAMS

AURENHAMMER, FRANZ, SCHWARZKOPF, OTFRIED

Journal:

International Journal of Computational Geometry & Applications

Year:

1992

Language:

english

File:

PDF, 993 KB

english, 1992

43

[ACM Press the eighth annual symposium - Berlin, Germany (1992.06.10-1992.06.12)] Proceedings of the eighth annual symposium on Computational geometry - SCG '92 - Minkowski-type theorems and least-squares partitioning

Aurenhammer, Franz, Hoffman, Friedrich, Aronov, Boris

Year:

1992

Language:

english

File:

PDF, 750 KB

english, 1992

44

[ACM Press the thirteenth annual symposium - Nice, France (1997.06.04-1997.06.06)] Proceedings of the thirteenth annual symposium on Computational geometry - SCG '97 - Voronoi diagrams for direction-sensitive distances

Aichholzer, Oswin, Chen, Danny Z., Lee, D. T., Mukhopadhyay, Asish, Papadopoulou, Evanthia, Aurenhammer, Franz

Year:

1997

Language:

english

File:

PDF, 637 KB

english, 1997

45

[ACM Press the seventh annual symposium - North Conway, New Hampshire, United States (1991.06.10-1991.06.12)] Proceedings of the seventh annual symposium on Computational geometry - SCG '91 - A simple on-line randomized incremental algorithm for computing higher order Voronoi diagrams

Aurenhammer, Franz, Schwarzkopf, Otfried

Year:

1991

Language:

english

File:

PDF, 1.03 MB

english, 1991

46

[ACM Press Annual Symposium - Kyoto, Japan (2014.06.08-2014.06.11)] Annual Symposium on Computational Geometry - SOCG'14 - Polytope Offsets and Straight Skeletons in 3D

Aurenhammer, Franz, Walzl, Gernot

Year:

2014

Language:

english

File:

PDF, 505 KB

english, 2014

47

[ACM Press the seventeenth annual symposium - Medford, Massachusetts, United States (2001..-..)] Proceedings of the seventeenth annual symposium on Computational geometry - SCG '01 - Enumerating order types for small sets with applications

Aichholzer, Oswin, Aurenhammer, Franz, Krasser, Hannes

Year:

2001

Language:

english

File:

PDF, 209 KB

english, 2001

48

[ACM Press the eighteenth annual symposium - Barcelona, Spain (2002.06.05-2002.06.07)] Proceedings of the eighteenth annual symposium on Computational geometry - SCG '02 - On the crossing number of complete graphs

Aichholzer, Oswin, Aurenhammer, Franz, Krasser, Hannes

Year:

2002

Language:

english

File:

PDF, 141 KB

english, 2002

49

[ACM Press the eighteenth annual symposium - Barcelona, Spain (2002.06.05-2002.06.07)] Proceedings of the eighteenth annual symposium on Computational geometry - SCG '02 - Quickest paths, straight skeletons, and the city Voronoi diagram

Aichholzer, Oswin, Aurenhammer, Franz, Palop, Belén

Year:

2002

Language:

english

File:

PDF, 176 KB

english, 2002

50

[ACM Press the nineteenth conference - San Diego, California, USA (2003.06.08-2003.06.10)] Proceedings of the nineteenth conference on Computational geometry - SCG '03 - Spatial embedding of pseudo-triangulations

Aichholzer, Oswin, Aurenhammer, Franz, Braay, Peter

Year:

2003

Language:

english

File:

PDF, 251 KB

english, 2003