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Franz Aurenhammer

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2009
70EEFranz Aurenhammer, Yinfeng Xu: Optimal Triangulations. Encyclopedia of Optimization 2009: 2757-2764
2008
69EEOswin Aichholzer, Franz Aurenhammer, Paola Gonzalez-Nava, Thomas Hackl, Clemens Huemer, Ferran Hurtado, Hannes Krasser, Saurabh Ray, Birgit Vogtenhuber: Matching edges and faces in polygonal partitions. Comput. Geom. 39(2): 134-141 (2008)
68EEFranz Aurenhammer: Weighted skeletons and fixed-share decomposition. Comput. Geom. 40(2): 93-101 (2008)
2007
67 Oswin Aichholzer, Franz Aurenhammer, Thomas Hackl, Bettina Speckmann: On (Pointed) Minimum Weight Pseudo-Triangulations. CCCG 2007: 209-212
66EEFranz Aurenhammer, Johannes Wallner, Martin Peternell, Helmut Pottmann: Voronoi Diagrams for Oriented Spheres. ISVD 2007: 33-37
65EEOswin Aichholzer, Franz Aurenhammer, Thomas Hackl, Bert Jüttler, Margot Oberneder, Zbynek Sír: Computational and Structural Advantages of Circular Boundary Representation. WADS 2007: 374-385
64EEOswin Aichholzer, Franz Aurenhammer, Thomas Hackl: Pre-Triangulations and Liftable Complexes. Discrete & Computational Geometry 38(4): 701-725 (2007)
63EEOswin Aichholzer, Franz Aurenhammer, Thomas Hackl, Clemens Huemer: Connecting colored point sets. Discrete Applied Mathematics 155(3): 271-278 (2007)
2006
62EEOswin Aichholzer, Franz Aurenhammer, Thomas Hackl: Pre-triangulations and liftable complexes. Symposium on Computational Geometry 2006: 282-291
61EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser: On the Crossing Number of Complete Graphs. Computing 76(1-2): 165-176 (2006)
60EEFranz Aurenhammer, Hannes Krasser: Pseudo-Simplicial Complexes from Maximal Locally Convex Functions. Discrete & Computational Geometry 35(2): 201-221 (2006)
59EEFranz Aurenhammer, Robert L. Scot Drysdale, Hannes Krasser: Farthest line segment Voronoi diagrams. Inf. Process. Lett. 100(6): 220-225 (2006)
58EEOswin Aichholzer, Franz Aurenhammer, Clemens Huemer, Hannes Krasser: Transforming spanning trees and pseudo-triangulations. Inf. Process. Lett. 97(1): 19-22 (2006)
2005
57EEOswin Aichholzer, Franz Aurenhammer, Paola Gonzalez-Nava, Thomas Hackl, Clemens Huemer, Ferran Hurtado, Hannes Krasser, Saurabh Ray, Birgit Vogtenhuber: Matching Edges and Faces in Polygonal Partitions. CCCG 2005: 126-129
56EEBoris Aronov, Franz Aurenhammer, Ferran Hurtado, Stefan Langerman, David Rappaport, Shakhar Smorodinsky, Carlos Seara: Small weak epsilon nets. CCCG 2005: 52-56
2004
55EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser, Bettina Speckmann: Convexity minimizes pseudo-triangulations. Comput. Geom. 28(1): 3-10 (2004)
54EEOswin Aichholzer, Franz Aurenhammer, Belén Palop: Quickest Paths, Straight Skeletons, and the City Voronoi Diagram. Discrete & Computational Geometry 31(1): 17-35 (2004)
2003
53EEOswin Aichholzer, Franz Aurenhammer, Peter Braay: Spatial embedding of pseudo-triangulations. Symposium on Computational Geometry 2003: 144-153
52EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser: Adapting (Pseudo)-Triangulations with a Near-Linear Number of Edge Flips. WADS 2003: 12-24
51EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser, Peter Braß: Pseudotriangulations from Surfaces and a Novel Type of Edge Flip. SIAM J. Comput. 32(6): 1621-1653 (2003)
50EEOswin Aichholzer, Franz Aurenhammer, Ferran Hurtado, Hannes Krasser: Towards compatible triangulations. Theor. Comput. Sci. 296(1): 3-13 (2003)
2002
49EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser, Bettina Speckmann: Convexity minimizes pseudo-triangulations. CCCG 2002: 158-161
48EEOswin Aichholzer, Franz Aurenhammer, Belén Palop: Quickest paths, straight skeletons, and the city Voronoi diagram. Symposium on Computational Geometry 2002: 151-159
47EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser: On the crossing number of complete graphs. Symposium on Computational Geometry 2002: 19-24
46 Oswin Aichholzer, Franz Aurenhammer, Ferran Hurtado: Sequences of spanning trees and a fixed tree theorem. Comput. Geom. 21(1-2): 3-20 (2002)
45EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser: Enumerating Order Types for Small Point Sets with Applications. Order 19(3): 265-281 (2002)
44 Franz Aurenhammer, Naoki Katoh, Hiromichi Kojima, Makoto Ohsaki, Yin-Feng Xu: Approximating uniform triangular meshes in polygons. Theor. Comput. Sci. 289(2): 879-895 (2002)
2001
43EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser, Ferran Hurtado: Towards Compatible Triangulations. COCOON 2001: 101-110
42EEOswin Aichholzer, Franz Aurenhammer, Hannes Krasser: Enumerating order types for small sets with applications. Symposium on Computational Geometry 2001: 11-18
41 Oswin Aichholzer, Franz Aurenhammer, Christian Icking, Rolf Klein, Elmar Langetepe, Günter Rote: Generalized self-approaching curves. Discrete Applied Mathematics 109(1-2): 3-24 (2001)
40EEFranz Aurenhammer: Computational Geometry - Some Easy Questions and their Recent Solutions. J. UCS 7(5): 338-354 (2001)
2000
39EEFranz Aurenhammer, Naoki Katoh, Hiromichi Kojima, Makoto Ohsaki, Yinfeng Xu: Approximating Uniform Triangular Meshes in Polygons. COCOON 2000: 23-33
38 Oswin Aichholzer, Franz Aurenhammer, Ferran Hurtado: Edge Operations on Non-Crossing Spanning Trees. EWCG 2000: 121-125
1999
37EEOswin Aichholzer, Franz Aurenhammer, Reinhard Hainz: New Results on MWT Subgraphs. Inf. Process. Lett. 69(5): 215-219 (1999)
36 Oswin Aichholzer, Franz Aurenhammer, Danny Z. Chen, D. T. Lee, Evanthia Papadopoulou: Skew Voronoi Diagrams. Int. J. Comput. Geometry Appl. 9(3): 235- (1999)
1998
35EEOswin Aichholzer, Franz Aurenhammer, Christian Icking, Rolf Klein, Elmar Langetepe, Günter Rote: Generalized Self-Approaching Curves. ISAAC 1998: 317-326
34 Franz Aurenhammer, F. Hoffmann, Boris Aronov: Minkowski-Type Theorems and Least-Squares Clustering. Algorithmica 20(1): 61-76 (1998)
33 Oswin Aichholzer, Franz Aurenhammer, Günter Rote, Yin-Feng Xu: Constant-Level Greedy Triangulations Approximate the MWT Well. J. Comb. Optim. 2(4): 361-369 (1998)
1997
32EEOswin Aichholzer, Franz Aurenhammer, Danny Z. Chen, D. T. Lee, Asish Mukhopadhyay, Evanthia Papadopoulou: Voronoi Diagrams for Direction-Sensitive Distances. Symposium on Computational Geometry 1997: 418-420
1996
31 Oswin Aichholzer, Franz Aurenhammer: Straight Skeletons for General Polygonal Figures in the Plane. COCOON 1996: 117-126
30EEOswin Aichholzer, Franz Aurenhammer, Siu-Wing Cheng, Naoki Katoh, Günter Rote, Michael Taschwer, Yin-Feng Xu: Triangulations Intersect Nicely. Discrete & Computational Geometry 16(4): 339-359 (1996)
29EEOswin Aichholzer, Franz Aurenhammer: Classifying Hyperplanes in Hypercubes. SIAM J. Discrete Math. 9(2): 225-232 (1996)
1995
28EEOswin Aichholzer, Franz Aurenhammer, Michael Taschwer, Günter Rote: Triangulations Intersect Nicely. Symposium on Computational Geometry 1995: 220-229
27EEOswin Aichholzer, Franz Aurenhammer, David Alberts, Bernd Gärtner: A Novel Type of Skeleton for Polygons. J. UCS 1(12): 752-761 (1995)
26 Franz Aurenhammer, Johann Hagauer: Recognizing Binary Hamming Graphs in O(n² log n) Time. Mathematical Systems Theory 28(5): 387-395 (1995)
1994
25EEFranz Aurenhammer, Michael Formann, Ramana M. Idury, Alejandro A. Schäffer, Frank Wagner: Faster Isometric Embedding in Products of Complete Graphs. Discrete Applied Mathematics 52(1): 17-28 (1994)
1992
24EEFranz Aurenhammer, Friedrich Hoffman, Boris Aronov: Minkowski-Type Theorems and Least-Squares Partitioning. Symposium on Computational Geometry 1992: 350-357
23 Franz Aurenhammer, Johann Hagauer, Wilfried Imrich: Cartesian Graph Factorization at Logarithmic Cost per Edge. Computational Complexity 2: 331-349 (1992)
22EEFranz Aurenhammer, Johann Hagauer: Computing equivalence classes among the edges of a graph with applications. Discrete Mathematics 109(1-3): 3-12 (1992)
21 Franz Aurenhammer, Gerd Stöckl: Searching for Segments with Largest Relative Overlap. Inf. Process. Lett. 41(2): 103-108 (1992)
20 Franz Aurenhammer, Otfried Schwarzkopf: A simple on-line randomized incremental algorithm for computing higher order Voronoi diagrams. Int. J. Comput. Geometry Appl. 2(4): 363-381 (1992)
1991
19EEFranz Aurenhammer, Otfried Schwarzkopf: A Simple On-Line Randomized Incremental Algorithm for Computing Higher Order Voronoi Diagrams. Symposium on Computational Geometry 1991: 142-151
18 Franz Aurenhammer, Gerd Stöckl, Emo Welzl: The Post Office Problem for Fuzzy Point Sets. Workshop on Computational Geometry 1991: 1-11
17 Franz Aurenhammer: Voronoi Diagrams - A Survey of a Fundamental Geometric Data Structure. ACM Comput. Surv. 23(3): 345-405 (1991)
16 Franz Aurenhammer: Using Gale transforms in computational geometry. Math. Program. 52: 179-190 (1991)
1990
15 Franz Aurenhammer, Johann Hagauer, Wilfried Imrich: Factoring Cartesian-Product Graphs at Logarithmic Cost per Edge. IPCO 1990: 29-44
14 Franz Aurenhammer, Johann Hagauer: Recognizing Binary Hamming Graphs in O(n² log n) Time. WG 1990: 90-98
13 Franz Aurenhammer: A New Duality Result Concerning Voronoi Diagrams. Discrete & Computational Geometry 5: 243-254 (1990)
12EEFranz Aurenhammer: A relationship between Gale transforms and Voronoi diagrams. Discrete Applied Mathematics 28(2): 83-91 (1990)
1988
11 Franz Aurenhammer: Using Gale Transforms in Computational Geometry. Workshop on Computational Geometry 1988: 202-216
10 Franz Aurenhammer: On-Line Sorting of Twisted Sequences in Linear Time. BIT 28(2): 194-204 (1988)
9 Franz Aurenhammer: Improved Algorithms for Discs and Balls Using Power Diagrams. J. Algorithms 9(2): 151-161 (1988)
1987
8 Franz Aurenhammer, Hiroshi Imai: Geometric Relations Among Voronoi Diagrams. STACS 1987: 53-65
7EEFranz Aurenhammer: Jordan Sorting Via Convex Hulls of Certain Non-Simple Polygons. Symposium on Computational Geometry 1987: 21-29
6 Franz Aurenhammer: A Criterion for the Affine Equivalence of Cell Complexes in Rd and Convex Polyhedra in Rd+1+. Discrete & Computational Geometry 2: 49-64 (1987)
5 Franz Aurenhammer: Recognising Polytopical Cell Complexes and Constructing Projection Polyhedra. J. Symb. Comput. 3(3): 249-255 (1987)
4 Franz Aurenhammer: Power Diagrams: Properties, Algorithms and Applications. SIAM J. Comput. 16(1): 78-96 (1987)
1986
3 Franz Aurenhammer: A New Duality Result Concerning Voronoi Diagrams. ICALP 1986: 21-30
2 Franz Aurenhammer: The One-Dimensional Weighted Voronoi Diagram. Inf. Process. Lett. 22(3): 119-123 (1986)
1984
1EEFranz Aurenhammer, Herbert Edelsbrunner: An optimal algorithm for constructing the weighted voronoi diagram in the plane. Pattern Recognition 17(2): 251-257 (1984)

Coauthor Index

1Oswin Aichholzer [27] [28] [29] [30] [31] [32] [33] [35] [36] [37] [38] [41] [42] [43] [45] [46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [57] [58] [61] [62] [63] [64] [65] [67] [69]
2David Alberts [27]
3Boris Aronov [24] [34] [56]
4Peter Braay [53]
5Peter Braß (Peter Brass) [51]
6Danny Z. Chen [32] [36]
7Siu-Wing Cheng [30]
8Otfried Cheong (Otfried Schwarzkopf) [19] [20]
9Robert L. Scot Drysdale (Robert L. (Scot) Drysdale III) [59]
10Herbert Edelsbrunner [1]
11Michael Formann [25]
12Bernd Gärtner [27]
13Frank Geraets (Frank Wagner) [25]
14Paola Gonzalez-Nava [57] [69]
15Thomas Hackl [57] [62] [63] [64] [65] [67] [69]
16Johann Hagauer [14] [15] [22] [23] [26]
17Reinhard Hainz [37]
18Friedrich Hoffman [24]
19F. Hoffmann [34]
20Clemens Huemer [57] [58] [63] [69]
21Ferran Hurtado [38] [43] [46] [50] [56] [57] [69]
22Christian Icking [35] [41]
23Ramana M. Idury [25]
24Hiroshi Imai [8]
25Wilfried Imrich [15] [23]
26Bert Jüttler [65]
27Naoki Katoh [30] [39] [44]
28Rolf Klein [35] [41]
29Hiromichi Kojima [39] [44]
30Hannes Krasser [42] [43] [45] [47] [49] [50] [51] [52] [55] [57] [58] [59] [60] [61] [69]
31Stefan Langerman [56]
32Elmar Langetepe [35] [41]
33D. T. Lee [32] [36]
34Asish Mukhopadhyay [32]
35Margot Oberneder [65]
36Makoto Ohsaki [39] [44]
37Belén Palop [48] [54]
38Evanthia Papadopoulou [32] [36]
39Martin Peternell [66]
40Helmut Pottmann [66]
41David Rappaport [56]
42Saurabh Ray [57] [69]
43Günter Rote [28] [30] [33] [35] [41]
44Alejandro A. Schäffer [25]
45Carlos Seara [56]
46Zbynek Sír [65]
47Shakhar Smorodinsky [56]
48Bettina Speckmann [49] [55] [67]
49Gerd Stöckl [18] [21]
50Michael Taschwer [28] [30]
51Birgit Vogtenhuber [57] [69]
52Johannes Wallner [66]
53Emo Welzl [18]
54Yin-Feng Xu [30] [33] [44]
55Yinfeng Xu [39] [70]

Copyright © Sun May 17 03:24:02 2009 by Michael Ley (ley@uni-trier.de)