Publications
Here you can retrieve copies of most of my papers in PDF/Postscript
format.
Journal articles
- Sergio Cabello, Siu-Wing Cheng, Otfried Cheong, and Christian Knauer
Geometric matching and bottleneck problems.
arxiv:2310.02637
- Helmut Alt, Sergio Cabello, Otfried Cheong, Ji-won Park, and Nadja Scharf.
Packing d-dimensional balls into a d+1-dimensional container.
arxiv:2110.12711
- Otfried Cheong, Xavier Goaoc, and Andreas Holmsen.
Some new results on geometric transversals.
Discrete & Computational
Geometry 72 (2024) 674–703.
- Otfried Cheong, Olivier Devillers, Marc Glisse, and Ji-Won
Park.
Covering families of triangles.
Periodica Mathematica Hungarica 87 (2023) 86–109.
hal-03031995
- Luis Barba, Otfried Cheong, Michael Gene Dobbins, Rudolf
Fleischer, Akitoshi Kawamura, Matias Korman, Yoshio Okamoto, János
Pach, Yuan Tang, Takeshi Tokuyama, and Sander Verdonschot.
Weight Balancing on Boundaries.
Journal of Computational
Geometry 13 (2022) 1–12.
- Sergio Cabello, Otfried Cheong, and Michael Gene Dobbins.
The Inverse Kakeya Problem.
Periodica Mathematica Hungarica 84 (2022) 70–75.
arxiv:1912.08477
- Siu-Wing Cheng, Otfried Cheong, Taegyoung Lee, and
Zhengtong Ren.
Fitting a graph to one-dimensional
data.
Theoretical Computer
Science 867 (2021) 40–49.
arxiv:1809.02948
- Sang Won Bae, Sergio Cabello, Otfried Cheong, Yoonsung
Choi, Fabian Stehn, and Sang Duk Yoon.
The Reverse Kakeya Problem.
Advances in Geometry 21 (2021) 75–84.
Proceedings version.
- Binay Bhattacharya, Arijit Bishnu, Otfried Cheong, Sandip
Das, Arindam Karmakar, and Jack Snoeyink.
Computation of Spatial Skyline
Points.
Computational Geometry: Theory and
Applications 93 (2021) 101698
arxiv:0909.0814
- Ji-won Park and Otfried Cheong.
Smallest Universal Covers for Families of
Triangles.
Computational Geometry: Theory and
Applications 92 (2021) 101686.
- Mark de Berg, Sergio Cabello, Otfried Cheong, David
Eppstein, and Christian Knauer.
Covering many points with a small-area box.
Journal of Computational
Geometry 10 (2019) 207–222.
- Sang Won Bae, Mark de Berg, Otfried Cheong, Joachim
Gudmundsson, and Christos Levcopoulos.
Shortcuts for the Circle.
Computational Geometry: Theory and
Applications 79 (2019) 37–54.
arxiv:1612.02412
- Hee-Kap Ahn, Judit Abardia, Sang Won Bae, Otfried Cheong,
Susanna Dann, Dongwoo Park, and Chan-Su Shin.
The Minimum Convex Container of Two Convex Polytopes under
Translations.
Computational Geometry: Theory and
Applications 77 (2019) 40–50.
- Helmut Alt, Kevin Buchin, Steven Chaplick, Otfried Cheong, Philipp
Kindermann, Christian Knauer, and Fabian Stehn.
Placing your Coins on a Shelf.
Journal of Computational
Geometry 9 (2018) 312–327.
- Juyoung Yon, Siu-Wing Cheng, Otfried Cheong, and Antoine
Vigneron.
Finding Largest Common Point
Sets.
International Journal of
Computational Geometry &
Applications 27 (2017) 177–185.
- Boris Aronov, Otfried Cheong, Michael Gene Dobbins, and
Xavier Goaoc.
The Number of Holes in the Union of Translates of a
Convex Set in Three
Dimensions.
Discrete & Computational
Geometry 57 (2017) 104–124.
arxiv:1502.01779
- Jae-Soon Ha, Otfried Cheong, Xavier Goaoc, and Jungwoo Yang.
Geometric Permutations of Non-Overlapping Unit Balls
Revisited.
Computational Geometry: Theory and
Applications 53 (2016) 36–50.
arxiv:1407.0795
- Sergio Cabello, Otfried Cheong, Christian Knauer,
and Lena Schlipf.
Finding Largest Rectangles in Convex
Polygons.
Computational Geometry: Theory and
Applications 51 (2016) 67–74.
arxiv:1405.1223
- Otfried Cheong, Sariel Har-Peled, Heuna Kim, and Hyo-Sil
Kim.
On the Number of Edges of Fan-Crossing Free
Graphs.
Algorithmica 73 (2015) 673–695.
(On invitation, special issue on ISAAC 2013.)
arxiv:1311.1976
- Otfried Cheong, Radwa El Shawi, and Joachim Gudmundsson.
A fast algorithm for data collection along a fixed
track.
Theoretical Computer
Science 554 (2014) 254–262.
(On invitation, special issue on COCOON 2013.)
- Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, Joachim Gudmundsson,
Takeshi Tokuyama, and Antoine Vigneron.
A Generalization of the Convex Kakeya
Problem.
Algorithmica 70 (2014) 152–170.
arxiv:1209.2171
- Otfried Cheong and Changryeol Lee.
Single-Source Dilation-Bounded Minimum Spanning
Trees.
International Journal of
Computational Geometry &
Applications 23 (2013) 159–170.
arxiv:1206.6943
- Hyo-Sil Kim and Otfried Cheong.
The Cost of Bounded
Curvature.
Computational Geometry: Theory and
Applications 46 (2013) 648–672.
arxiv:1106.6214
- Otfried Cheong, Xavier Goaoc, and Cyril Nicaud.
Set systems and families of permutations with small
traces.
European Journal of Combinatorics 34 (2013) 229–239.
arxiv:0912.2979
- Otfried Cheong, Xavier Goaoc, Andreas Holmsen.
Lower bounds to Helly numbers of line transversals to
disjoint congruent balls.
Israel Journal of Mathematics 190 (2012) 213–228.
arxiv:0906.2924
- Hee-Kap Ahn and Otfried Cheong.
Aligning two convex figures to minimize area or
perimeter.
Algorithmica 62 (2012) 464–479.
Manuscript available.
- Hee-kap Ahn, Otfried Cheong, Jiří Matoušek,
Antoine Vigneron.
Reachability by paths of bounded curvature in a convex
polygon.
Computational Geometry: Theory and
Applications 45 (2012) 21–32.
arxiv:1008.4244
- Otfried Cheong, Antoine Vigneron, and Juyoung Yon.
Reverse nearest neighbor queries in fixed
dimension.
International Journal of
Computational Geometry &
Applications 21 (2011) 179–188.
arxiv:0905.4441
- Boris Aronov, Otfried Cheong, Xavier Goaoc, and Günter Rote.
Lines pinning lines.
Discrete & Computational
Geometry 45 (2011) 230–260.
arxiv:1002.3294
- Otfried Cheong, Hazel Everett, Marc Glisse, Joachim
Gudmundsson, Samuel Hornus, Sylvain Lazard, Mira Lee, and Hyeon-Suk
Na.
Farthest-Polygon Voronoi
Diagrams
Computational Geometry: Theory and
Applications 44 (2011) 234–247.
arxiv:1001.3593
- Prosenjit Bose, Otfried Cheong, and Vida Dujmović.
A note on the perimeter of fat
objects.
Computational Geometry: Theory and
Applications 44 (2011) 1–8.
- Mark de Berg, Otfried Cheong, Herman Haverkort, Jung Gun
Lim, and Laura Toma.
The complexity of flow on fat terrains and its
I/O-efficient computation.
Computational Geometry: Theory and
Applications 43 (2010) 331–356 (On invitation,
special issue on WADS 2007).
Final version
in KOASAS.
- Hee-Kap Ahn, Helmut Alt, Tetsuo Asano, Sang Won Bae, Peter Brass,
Otfried Cheong, Christian Knauer, Hyeon-Suk Na, Chan-Su Shin, and
Alexander Wolff.
Constructing optimal
highways.
International Journal of Foundations
of Computer
Science 20 (2009) 3–23.
Final version
in KOASAS.
- Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, and Joachim Gudmundsson.
Aperture-Angle and Hausdorff-Approximation of Convex
Figures.
Discrete & Computational
Geometry 40 (2008) 414–429.
Final version
in KOASAS.
- Otfried Cheong, Herman Haverkort, and Mira Lee.
Computing a minimum-dilation spanning tree is
NP-hard.
Computational Geometry: Theory and
Applications 41 (2008) 188–205.
Final version
in KOASAS.
- Otfried Cheong, Xavier Goaoc, Andreas Holmsen, and
Sylvain Petitjean.
Helly-Type Theorems for Line Transversals to Disjoint
Unit Balls.
Discrete & Computational
Geometry 39 (2008) 194–212. (On invitation,
special issue on occasion of the twentieth anniversary
of the journal.)
Final version
in KOASAS.
- Boris Aronov, Mark de Berg, Otfried Cheong, Joachim Gudmundsson,
Herman Haverkort, Michiel Smid, and Antoine Vigneron.
Sparse geometric graphs with small
dilation.
Computational Geometry: Theory and
Applications 40 (2008) 207–219.
Final version
in KOASAS.
- Otfried Cheong, Hazel Everett, Hyo-Sil Kim, Sylvain Lazard,
and René Schott.
Parabola Separation Queries and their Application to
Stone Throwing.
International Journal of
Computational Geometry &
Applications 17 (2007) 349–360.
Final version
in KOASAS.
- Otfried Cheong and Mira Lee.
The Hadwiger number of Jordan regions is
unbounded.
Discrete & Computational
Geometry 37 (2007) 497–501.
Final version
in KOASAS.
- Otfried Cheong, Alon Efrat, and Sariel Har-Peled.
On Finding a Guard that sees most and a Shop that
sells most.
Discrete & Computational
Geometry 37 (2007) 545–563.
Manuscript available.
- Hee-Kap Ahn, Otfried Cheong,
Chong-Dae Park, Chan-Su Shin, and Antoine Vigneron.
Maximizing the overlap of two planar convex sets
under rigid motions
Computational Geometry: Theory and
Applications 37 (2007) 3–15.
(On invitation, special issue on SoCG 2005).
Manuscript available.
- Hee-Kap Ahn, Siu-Wing Cheng, and Otfried Cheong.
Casting with Skewed Ejection Direction.
Algorithmica 44 (2006) 325–342.
Manuscript available.
- Hee-Kap Ahn, Peter Brass, Otfried Cheong, Hyeon-Suk Na,
Chan-Su Shin, and Antoine Vigneron.
Inscribing an axially symmetric polygon and other approximation
algorithms for planar convex sets.
Computational Geometry: Theory and
Applications 33 (2006) 152–164.
Manuscript available.
- Prosenjit Bose, Sergio Cabello, Otfried Cheong, Joachim
Gudmundsson, Marc van Kreveld, and Bettina Speckmann.
Area-preserving approximations of polygonal paths.
Journal of Discrete Algorithms 4 (2006) 554–566.
Available as Technical Report IMFM-(2004)-PS-942.
- Helmut Alt, Otfried Cheong, and Antoine Vigneron.
The Voronoi diagram of curved objects.
Discrete & Computational
Geometry 34 (2005) 439–453.
Manuscript available.
- Otfried Cheong, Xavier Goaoc, and Hyeon-Suk Na.
Geometric Permutations of Disjoint Unit Spheres.
Computational Geometry: Theory and
Applications 30 (2005) 253–270.
Manuscript available.
- Tetsuo Asano, Mark de Berg, Otfried Cheong, Hazel Everett,
Herman Haverkort, Naoki Katoh, and Alexander Wolff.
Optimal Spanners for Axis-Aligned Rectangles.
Computational Geometry: Theory and
Applications 30 (2005) 59–77.
Manuscript available.
- Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong, and Jack
Snoeyink.
The Reflex-Free Hull.
International Journal of
Computational Geometry &
Applications 14 (2004) 453–474.
- Siu-Wing Cheng, Otfried Cheong, Hazel Everett, and
René van Oostrum.
Hierarchical Decompositions and Circular Ray Shooting in
Simple Polygons.
Discrete & Computational
Geometry 32 (2004) 401–415.
Available as Technical Report UU-CS-2002-016.
- Otfried Cheong, Sariel Har-Peled, Nathan Linial, and
Jiří Matoušek.
The One-Round Voronoi Game.
Discrete & Computational
Geometry 31 (2004) 125–138 (On invitation, special issue on
SoCG 2002).
Available as Technical Report UU-CS-2002-034.
- Mark de Berg, Prosenjit Bose, Otfried Cheong, and Pat Morin.
On Simplifying Dot Maps.
Computational Geometry: Theory and
Applications 27 (2004) 43–62
(On invitation, special
issue for the European Workshop on Computational Geometry CG'02).
Available as Technical Report UU-CS-2002-038.
- Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong, Mordecai
Golin, and René van Oostrum.
Competitive Facility Location: The Voronoi Game.
Theoretical Computer Science 310 (2004) 457–467.
Available as Technical Report UU-CS-2001-45.
- Tetsuo Asano, Mark de Berg, Otfried Cheong, Leo J. Guibas,
Jack Snoeyink, and Hisao Tamaki.
Spanning Trees Crossing Few Barriers.
Discrete & Computational
Geometry 30 (2003) 591–606.
Available as Technical Report UU-CS-2002-012.
- Hee-kap Ahn, Otfried Cheong, and René van Oostrum.
Casting a Polyhedron with Directional Uncertainty.
Computational Geometry: Theory and
Applications 26 (2003) 129–141.
Available as Technical Report UU-CS-2001-48.
- Otfried Cheong, Chan-Su Shin, and Antoine Vigneron.
Computing Farthest Neighbors on a Convex
Polytope.
Theoretical Computer
Science 296 (2003) 47–58 (On invitation, special issue
for COCOON'01).
Available as Technical Report UU-CS-2002-013.
- Hee-Kap Ahn, Otfried Cheong, and Chan-Su Shin.
Building Bridges Between Convex
Regions.
Computational Geometry: Theory and
Applications 25 (2003) 161–170 (On invitation, special
issue for the European Workshop on Computational Geometry
CG'01).
Available as Technical Report UU-CS-2001-46.
- Hyeon-Suk Na, Chung-Nim Lee, and Otfried Cheong.
Voronoi Diagrams on the
Sphere.
Computational Geometry: Theory and
Applications 23 (2002) 183–194.
Available as Technical Report UU-CS-2001-47.
- Hee-Kap Ahn, Mark de Berg, Prosenjit Bose, Siu-Wing Cheng,
Dan Halperin, Jiří Matoušek, and Otfried Schwarzkopf.
Separating an Object from its
Cast.
Computer-Aided Design 34 (2002) 547–559.
Available as Technical Report UU-CS-1998-16.
- Otfried Cheong and René van Oostrum.
Reaching a Polygon with Directional Uncertainty.
International Journal of
Computational Geometry &
Applications 11 (2001) 197–214.
Available as Technical Report UU-CS-1998-11.
- Pankaj Agarwal, Mark de Berg, Jiří Matoušek, and Otfried Schwarzkopf.
Constructing Levels in Arrangements and
Higher Order Voronoi Diagrams.
SIAM Journal on Computing 27 (1998) 654–667
Available as Technical Report UU-CS-1995-06.
- Mark de Berg, Otfried Cheong, Olivier Devillers, Marc van
Kreveld, and Monique Teillaud.
Computing the Maximum Overlap of Two Convex Polygons Under
Translations.
Theory of
Computing
Systems 31 (1998) 613–628.
Available as Technical Report UU-CS-1996-33.
- Otfried Schwarzkopf, Ulrich Fuchs, Günter Rote, and
Emo Welzl.
Approximation of Convex Figures by Pairs of
Rectangles.
Computational Geometry: Theory and
Applications 10 (1998) 77-87.
Available as Technical Report .
- Pankaj Agarwal, Jiří Matoušek, and Otfried
Schwarzkopf.
Computing Many Faces in Arrangements of Lines and
Segments.
SIAM Journal on Computing 27 (1998) 491–505.
Available as Technical Report UU-CS-1994-39.
- Otfried Schwarzkopf and Micha Sharir.
Vertical Decomposition of a Single Cell in a Three-Dimensional
Arrangement of Surfaces and its Applications.
Discrete & Computational
Geometry 18
(1997) 269–288.
- Alon Efrat, Otfried Schwarzkopf.
Separating and Shattering Long Line
Segments.
Information Processing
Letters 64 (1997) 309–314.
Available as Technical Report .
- Mark de Berg, Olivier Devillers, Katrin Dobrindt, Otfried
Schwarzkopf.
Computing a single cell in the overlay of two simple
polygons.
Information Processing
Letters 63 (1997) 215–219.
Available as Technical Report UU-CS-1997-15.
- Otfried Schwarzkopf, Jules Vleugels.
Range Searching in Low-Density
Environments.
Information Processing
Letters 60 (1996) 121–127.
Available as Technical Report UU-CS-1996-26.
- Jiří Matoušek and Otfried Schwarzkopf.
A Deterministic Algorithm for the Three-Dimensional Diameter
Problem.
Computational Geometry: Theory and
Applications 6 (1996) 253–262.
Available as Technical Report RUU-CS-92-45.
- Mark de Berg, Marc van Kreveld, Otfried Schwarzkopf, and Jack
Snoeyink.
Point Location in Zones of k-Flats in
Arrangements.
Computational Geometry: Theory and
Applications 6 (1996) 131–143.
Available as Technical Report .
- Pankaj Agarwal, Otfried Schwarzkopf, Micha Sharir.
The Overlay of Lower Envelopes and its
Applications.
Discrete & Computational
Geometry 15 (1996) 1–13.
Available as Technical Report UU-CS-1994-40.
- Mark de Berg and Katrin Dobrindt and Otfried Schwarzkopf.
On Lazy Randomized Incremental Construction.
Discrete & Computational
Geometry 14 (1995) 261–286.
Available as Technical Report UU-CS-1994-12.
- Mark de Berg and Otfried Schwarzkopf.
Cuttings and Applications.
International Journal of
Computational Geometry &
Applications 5 (1995) 343–355.
Final version
in KOASAS.
- Martin Aigner and Otfried Schwarzkopf.
Bounds on the Size of Merging
Networks.
Discrete Applied Mathematics 61 (1995) 187–194.
- Mark de Berg, Jiří Matoušek, and Otfried
Schwarzkopf.
Piecewise Linear Paths Among Convex
Obstacles.
Discrete & Computational
Geometry 14 (1995) 9–30.
Available as Technical Report RUU-CS-93-20.
- Mark de Berg, Leonidas Guibas, Dan Halperin, Mark Overmars,
Otfried Schwarzkopf, Micha Sharir, Monique Teillaud.
Reaching a Goal with Directional
Uncertainty.
Theoretical Computer Science 140 (1995)
301–317.
Available as Technical Report UU-CS-1994-09.
- Mark de Berg, Mark Overmars, and Otfried Schwarzkopf.
Computing and Verifying Depth Orders.
SIAM Journal on Computing 23 (1994) 437–446.
Available as Technical Report RUU-CS-91-41.
- Jiří Matoušek and Otfried Schwarzkopf.
On ray shooting in convex
polytopes.
Discrete & Computational
Geometry 10 (1993) 215–232.
Available as Technical Report .
- Franz Aurenhammer and Otfried Schwarzkopf.
A Simple On-Line Randomized Incremental Algorithm for Computing
Higher-Order Voronoi Diagrams.
International Journal of
Computational Geometry &
Applications 2 (1992) 363–381.
Available as Technical Report .
- Pankaj Agarwal, Herbert Edelsbrunner, Otfried Schwarzkopf, and
Emo Welzl.
Euclidean Minimum Spanning Trees and Bichromatic Closest Pairs.
Discrete & Computational
Geometry 6 (1991) 407–422.
- Otfried Schwarzkopf,
Parallel Computation of Distance
Transforms.
Algorithmica 6 (1991) 685–697.
Amazingly, Algorithmica misprinted the title of the
paper, and had to publish an
erratum to correct their
mistake.
Refereed Conference Proceedings
- Taehoon Ahn, Chaeyoon Chung, Hee-Kap Ahn, Sang Won Bae,
Otfried Cheong, and Sang Duk Yoon.
Minimum-Width Double-Slabs and Widest Empty Slabs in High Dimensions.
In LATIN 2024: Theoretical Informatics
- Otfried Cheong, Henry Förster, Julia Katheder, Maximilian
Pfister, and Lena Schlipf.
Weakly and strongly fan-planar graphs.
Proc. of the 31st International Symposium on
Graph Drawing and Network Visualization (GD 2023).
arxiv:2308.08966
- Otfried Cheong, Maximilian Pfister, and Lena Schlipf.
The thickness of fan-planar graphs is at most three.
Proc. of the 30th International Symposium on
Graph Drawing and Network Visualization (GD 2022).
arxiv:2208.12324
- Helmut Alt, Otfried Cheong, Ji-won Park, and Nadja Scharf.
Packing 2D disks into a 3D container.
In WALCOM: Algorithms and Computation, LNCS 11355 (2019), pg 369–380.
- Sang Won Bae, Sergio Cabello, Otfried Cheong, Yoonsung
Choi, Fabian Stehn, and Sang Duk Yoon.
The Reverse Kakeya Problem.
In Proc. 34th Int. Symp. on Computational Geometry
(SoCG 2018), pp. 6:1–6:13.
- Helmut Alt, Kevin Buchin, Steven Chaplick, Otfried Cheong, Philipp
Kindermann, Christian Knauer, and Fabian Stehn.
Placing your Coins on a
Shelf.
In Proc. of the 28th International Symposium on
Algorithms and Computation (ISAAC 2017), pp. 4:1–4:12.
- Sang Won Bae, Mark de Berg, Otfried Cheong, Joachim
Gudmundsson, and Christos Levcopoulos.
Shortcuts for the
Circle.
In Proc. of the 28th International Symposium on
Algorithms and Computation (ISAAC 2017), pp. 9:1–9:113.
- Juyoung Yon, Sang Won Bae, Siu-Wing Cheng, Otfried Cheong,
and Bryan T. Wilkinson.
Approximating Convex Shapes
with respect to Symmetric Difference under
Homotheties.
In Proc. 32nd Int. Symp. on Computational Geometry
(SoCG 2016), pp. 63:1–63:15.
- Boris Aronov, Otfried Cheong, Michael Gene Dobbins, and
Xavier Goaoc.
The Number of Holes in the Union of Translates of a Convex
Set in Three Dimensions.
In Proc. 32nd Int. Symp. on Computational Geometry
(SoCG 2016), pp. 10:1–10:16. Best-paper award.
- Luis Barba, Otfried Cheong, Jean-Lou De Carufel, Michael
Dobbins, Rudolf Fleischer, Akitoshi Kawamura, Matias Korman,
Yoshio Okamoto, Janos Pach, Yuan Tang, Takeshi Tokuyama, Sander
Verdonschot, and Tianhao Wang.
Weight Balancing on Boundaries and
Skeletons.
In Proc. 30th Ann. Symp. on Computational Geometry
(2014), pp. 436–443.
- Otfried Cheong, Sariel Har-Peled, Heuna Kim, and Hyo-Sil
Kim.
On the Number of Edges of Fan-Crossing Free
Graphs.
In Proc. of the 24th International Symposium on
Algorithms and Computation (ISAAC),
LNCS 8283 (2013), pp. 163–173.
- Otfried Cheong, Radwa El Shawi, and Joachim Gudmundsson.
A fast algorithm for data collection along a fixed
track.
In COCOON 2013: Computing and Combinatorics,
LNCS 7936 (2013), pg. 77–88.
- Hyo-Sil Kim and Otfried Cheong.
The Cost of Bounded
Curvature.
In COCOON 2012: Computing and Combinatorics,
LNCS 7434 (2012), pg. 252–263.
- Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, Joachim Gudmundsson,
Takeshi Tokuyama, and Antoine Vigneron.
A Generalization of the Convex Kakeya
Problem.
In LATIN 2012: Theoretical Informatics,
LNCS 7256 (2012), pg 1–12.
- Binay Bhattacharya, Arijit Bishnu, Otfried Cheong, Sandip
Das, Arindam Karmakar, and Jack Snoeyink.
Computation of non-dominated points using compact Voronoi
diagrams.
In WALCOM: Algorithms and Computation,
LNCS 5942 (2010), pg 82–92.
arxiv:0909.0814
- Otfried Cheong, Xavier Goaoc, and Andreas Holmsen.
Lower bounds for pinning lines by
balls.
In European Conference on Combinatorics, Graph Theory
and Applications (EuroComb 2009),
Electronic Notes in Discrete Mathematics,
Volume 34 (2009), pg. 567–571.
- Otfried Cheong, Joachim Gudmundsson, Hyo-Sil Kim,
Daria Schymura, and Fabian Stehn.
Measuring the similarity of geometric
graphs.
In Proc. 8th International Symposium on
Experimental Algorithms (SEA) LNCS 5526(2009), pg .101–112.
- Otfried Cheong, Hazel Everett, Marc Glisse, Joachim
Gudmundsson, Samuel Hornus, Sylvain Lazard, Mira Lee, and Hyeon-Suk
Na.
Farthest-polygon Voronoi
diagrams.
In Proc. 15th Annu. European Sympos. Algorithms (ESA),
LNCS 4698 (2007), pg. 407–418.
- Mark de Berg, Otfried Cheong, Herman Haverkort, Jung Gun
Lim, and Laura Toma.
I/O-efficient flow modeling on fat
terrains.
In Proc. 10th Workshop on Algorithms and Data
Structures (WADS),
LNCS 4619 (2007), pg. 239–250.
- Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, and Joachim Gudmundsson.
Aperture-angle and Hausdorff-approximation of convex
figures.
In Proc. 23rd Ann. Symp. on Computational Geometry,
(2007), pg. 37–45.
- Otfried Cheong, Herman Haverkort, and Mira Lee.
Computing a minimum-dilation spanning tree is
NP-hard.
In Computing: The Australasian Theory Symposium (CATS),
CRPIT Vol. 65, 2007, pg. 15–24.
- Hee-Kap Ahn, Helmut Alt, Tetsuo Asano, Sang Won Bae, Peter Brass,
Otfried Cheong, Christian Knauer, Hyeon-Suk Na, Chan-Su Shin, and
Alexander Wolff.
Constructing optimal highways.
In Computing: The Australasian Theory Symposium (CATS),
CRPIT Vol. 65, 2007, pg. 7–14.
- Otfried Cheong, Hazel Everett, Hyo-Sil Kim, Sylvain Lazard,
and René Schott.
Throwing stones inside simple
polygons.
In Proc. of the 2nd International Conference
on Algorithmic Aspects in Information and Management (AAIM),
LNCS 4041 (2006), pg. 185–193.
- Hee-Kap Ahn and Otfried Cheong.
Stacking and bundling two convex
polygons.
In Proc. of the 16th International Symposium on
Algorithms and Computation (ISAAC), LNCS 3827 (2005), pg. 882–891.
- Boris Aronov, Mark de Berg Otfried Cheong, Joachim Gudmundsson,
Herman Haverkort, and Antoine Vigneron.
Sparse geometric graphs with small
dilation.
In Proc. of the 16th International Symposium on
Algorithms and Computation (ISAAC), LNCS 3827 (2005), pg. 50–59.
- Hee-Kap Ahn, Otfried Cheong,
Chong-Dae Park, Chan-Su Shin, and Antoine Vigneron.
Maximizing the overlap of two planar convex sets
under rigid motions
In Proc. 21st Ann. Symp. on Computational Geometry,
(2005), pg. 356-363
- Otfried Cheong, Xavier Goaoc, and Andreas Holmsen.
Hadwiger and Helly-type theorems for disjoint unit
spheres in R3.
In Proc. 21st Ann. Symp. on Computational Geometry,
(2005), pg. 10-15.
- Hee-Kap Ahn, Peter Brass, Otfried Cheong, Hyeon-Suk Na,
Chan-Su Shin, and Antoine Vigneron.
Approximation algorithms for inscribing or circumscribing
an axially symmetric polygon to a convex
polygon.
In Proc. 10th Annual Intern. Computing and
Combinatorics Conference (COCOON), LNCS 3106 (2004),
pg. 259–268.
- Otfried Cheong, Alon Efrat, and Sariel Har-Peled.
On finding a guard that sees most and a shop that
sells most.
In Proc. 15th ACM-SIAM Sympos. Discrete Algorithms
(SODA) (2004), pg. 1091–1100.
- Otfried Cheong, Xavier Goaoc, and Hyeon-Suk Na.
Disjoint Unit Spheres Admit At Most Two Line
Transversals.
In Proc. 11th Annu. European Sympos. Algorithms (ESA),
LNCS 2832 (2003), pg. 127–135.
Available as Technical Report INRIA/RR-4854.
- Hee-kap Ahn, Otfried Cheong, and René van Oostrum.
Casting a polyhedron with directional
uncertainty.
In Proc. of the 13th International Symposium on
Algorithms and Computation (ISAAC), LNCS 2518 (2002), pg. 274–285.
Available as Technical Report UU-CS-2001-48.
- Otfried Cheong, Sariel Har-Peled, Nathan Linial,
Jiří Matoušek.
The One-Round Voronoi Game.
In Proc. 18th Ann. Symp. on Computational Geometry,
(2002).
- Otfried Cheong, Chan-Su Shin, and Antoine Vigneron.
Computing Farthest Neighbors on a Convex
Polytope.
In 7th Annual International Computing and Combinatorics
Conference (ISAAC), LNCS 2108 (2001), pg. 159–169.
Available as Technical Report UU-CS-2002-013.
- Hee-Kap Ahn, Siu-wing Cheng, Otfried Cheong, Mordecai
Golin, and René van Oostrum.
Competitive Facility Location along a
Highway.
In 7th Annual International Computing and Combinatorics
Conference (ISAAC), LNCS 2108 (2001), pg. 237–246.
Available as Technical Report UU-CS-2001-45.
- Jae-Ha Lee, Otfried Cheong, Woo-Cheol Kwon, Sung Yong Shin, and
Kyung-Yong Chwa.
Approximation of Curvature-Constrained Shortest Paths through
a Sequence of Points.
In Algorithms — ESA 2000, LNCS 1879 (2000),
pg. 314–325.
Manuscript available.
- Hee-kap Ahn, Otfried Cheong, Jiří Matoušek, and
Antoine Vigneron.
Reachability by paths of bounded curvature in convex
polygons.
In Proc. 16th Ann. Symp. on Computational Geometry,
(2000), pg. 251–259.
Manuscript available.
- Siu-Wing Cheng, Otfried Cheong, Hazel Everett, and
René van Oostrum
Hierarchical Vertical Decompositions, Ray Shooting, and
Circular Arc Queries in Simple Polygons.
In Proc. 15th Ann. ACM Symp. Comput. Geom., 1999, pg. 227–236.
- Tetsuo Asano, Mark de Berg, Otfried Cheong, Leo J. Guibas,
Jack Snoeyink, and Hisao Tamaki
Spanning Trees Crossing Few Barriers.
In Proc. 15th Ann. ACM Symp. Comput. Geom., 1999, pg. 41–48.
Available as Technical Report UU-CS-2002-012.
- Hee-Kap Ahn, Siu-Wing Cheng, and Otfried Cheong.
Casting with Skewed Ejection
Direction.
In 9th Ann. International Symp. on Algorithms
and Computation, LNCS 1533 (1998), pg. 139–148.
- Hee-Kap Ahn, Mark de Berg, Prosenjit Bose, Siu-Wing Cheng,
Dan Halperin, Jiří Matoušek, and Otfried Schwarzkopf.
Separating an Object from its Cast.
In Proc. 13th Ann. ACM Symp. Comput. Geom.,
1997, pg. 221–230.
Available as Technical Report UU-CS-1998-16.
- Mark de Berg, Olivier Devillers, Marc van Kreveld,
Otfried Schwarzkopf, and Monique Teillaud.
Computing the Maximum Overlap of Two Convex Polygons
Under Translations.
In Proc. 7th Ann. International Symp. on Algorithms
and Computation, LNCS 1178 (1996), pg. 126–135.
Available as Technical Report UU-CS-1996-33.
- Alon Efrat and Otfried Schwarzkopf.
Separating and Shattering Long Line
Segments.
In Proc. 7th Ann. International Symp. on Algorithms
and Computation, LNCS 1178 (1996), pg. 36–44.
- Otfried Schwarzkopf and Micha Sharir.
Vertical Decomposition of a Single Cell in a Three-Dimensional
Arrangement of Surfaces and its Applications.
In Proc. 12th Ann. ACM Symp. Comput. Geom.,
1996, pg. 20–29.
- Mark Overmars, Anil Rao, Otfried Schwarzkopf, and Chantal
Wentink.
Immobilizing Polygons against a Wall.
In Proc. 11th Ann. ACM Symp. Comput. Geom.,
(1995), pg. 29–38.
Available as Technical Report UU-CS-1996-11.
- Helmut Alt and Otfried Schwarzkopf.
The Voronoi Diagram of Curved Objects.
In Proc. 11th Ann. ACM Symp. Comput. Geom.,
(1995), pg. 89–97.
There is a serious error in Lemma 1 (b) of this paper. A
corrected version has appeared in Discrete & Computational
Geometry , see above.
- Pankaj Agarwal, Otfried Schwarzkopf, and Micha Sharir.
The Overlay of Lower Envelopes in Three Dimensions and Its
Applications.
In Proc. 11th Ann. ACM Symp. Comput. Geom.,
(1995), pg. 182–189.
Available as Technical Report UU-CS-1994-40.
- Pankaj Agarwal, Mark de Berg, Jiří Matoušek,
and Otfried Schwarzkopf.
Constructing Levels in Arrangements
and Higher Order Voronoi Diagrams.
In Proc. 10th Ann. ACM Symp. Comput. Geom., (1994),
pg. 67–75.
Available as Technical Report UU-CS-1995-06.
- Pankaj Agarwal, Jiří Matoušek, Otfried
Schwarzkopf.
Computing Many Faces in Arrangements of Lines and
Segments.
In Proc. 10th Ann. ACM Symp. Comput. Geom.,
(1994), pg. 76–84.
Available as Technical Report UU-CS-1994-39.
- Mark de Berg and Katrin Dobrindt and Otfried Schwarzkopf.
On Lazy Randomized Incremental Construction.
In Proc. 25th Ann. ACM Symp. Theory Comput.,
(1994), pg. 105–114.
Available as Technical Report UU-CS-1994-12.
- Mark de Berg, Jiří Matoušek, and Otfried
Schwarzkopf.
Piecewise Linear Paths Among Convex Obstacles.
In Proc. 25th Ann. ACM Symp. Theory Comput.
(1993), pg. 505–514.
Available as Technical Report RUU-CS-93-20.
- Jiří Matoušek, Otfried Schwarzkopf.
A Deterministic Algorithm for the Three-Dimensional
Diameter Problem.
In Proc. 25th Ann. ACM Symp. Theory Comput.
(1993), pg. 478–484.
Available as Technical Report RUU-CS-92-45.
- Otfried Schwarzkopf.
Computing Convolutions on Mesh-Like
Structures.
In Proc. Seventh International Parallel Processing Symp.
(1993), pg. 695–699.
Manuscript available.
- Mark de Berg, Leonidas Guibas, Dan Halperin, Mark Overmars,
Otfried Schwarzkopf, Micha Sharir, and Monique Teillaud.
Reaching a Goal with Directional
Uncertainty.
In Proc. 4th Ann. Internat. Symp. Algorithms Comput.
LNCS 762 (1993), pg. 1–10.
Available as Technical Report UU-CS-1994-09.
- Otfried Schwarzkopf.
Ray shooting in convex
polytopes.
In Proc. 8th Ann. Symp. on Computational Geometry
(1992), pg. 286–295.
- Mark de Berg, Mark Overmars, and Otfried Schwarzkopf.
Computing and verifying depth orders.
In Proc. 8th Ann. Symp. on Computational Geometry
(1992), pg. 138–145.
Available as Technical Report RUU-CS-91-41.
- Jiří Matoušek, Otfried Schwarzkopf.
Linear optimization queries.
In Proc. 8th Ann. Symp. on Computational Geometry
(1992), pg. 16–25.
- Franz Aurenhammer, Otfried Schwarzkopf.
A Simple On-line Randomized Incremental Algorithm for Computing
Higher Order Voronoi Diagrams.
In Proc. 7th Ann. Symp. on Computational Geometry,
(1991), pg. 142–151.
- Otfried Schwarzkopf.
Dynamic Maintenance of Geometric Structures Made
Easy.
In Proc. 32nd Symp. Foundations of Computer Science,
(1991), pg. 197–206.
- Otfried Schwarzkopf, Ulrich Fuchs, Günter Rote, Emo Welzl.
Approximation of convex figures by pairs of
rectangles.
In Proc. 7th Ann. Symp. on Theoretical Aspects of
Computer Science, (1990), pg. 240–249.
- Pankaj Agarwal, Herbert Edelsbrunner, Otfried Schwarzkopf,
Emo Welzl.
Euclidean Minimum Spanning Trees and Bichromatic
Closest Pairs.
In Proc. 6th Ann. Symp. on Computational Geometry,
(1990), pg. 203–210.
- Otfried Schwarzkopf.
Parallel Computation of Discrete Voronoi
Diagrams.
In Proc. 6th Ann. Symp. on Theoretical Aspects of
Computer Science, LNCS 349 (1989), pg. 193–204.
Books and book chapters
- Otfried Cheong, Ketan Mulmuley, and Edgar Ramos.
Randomization and derandomization.
Chapter 44 in the 3rd edition of Handbook of
Discrete and Computational
Geometry,
Csaba Toth, Joseph O'Rourke, and Jacob E. Goodman (Eds.), Chapman
and Hall/CRC, 2017
- Otfried Cheong, Kyung-Yong Chwa, and Kunsoo Park.
Algorithms and Computation: Proceedings of the 21st
International Symposium (ISAAC
2010). Part II.
LNCS 6507, Springer-Verlag, 2010.
- Otfried Cheong, Kyung-Yong Chwa, and Kunsoo Park.
Algorithms and Computation: Proceedings of the 21st
International Symposium (ISAAC
2010). Part I.
LNCS 6506, Springer-Verlag, 2010.
- Mark de Berg, Otfried Cheong, Marc van Kreveld, Mark Overmars.
Computational Geometry: Algorithms and
Applications, Third Edition.
Springer-Verlag, 2008.
- Mark de Berg, Marc van Kreveld, Mark Overmars, Otfried
Schwarzkopf.
Geometria obliczeniowa: algorytmy i zastosowania
(Computational Geometry: Algorithms and Applications, Polish).
Translated by Miroslaw Kowaluk.
Wydawnictwa Naukowo-Techniczne, Warsaw 2007.
- Nina Amenta and Otfried Cheong (Editors).
Proceedings of the twenty-second annual symposium on
Computational Geometry.
ACM Press, New York, 2006.
- Otfried Cheong, Ketan Mulmuley, and Edgar Ramos.
Randomization and derandomization.
Chapter 40 in the 2nd edition of Handbook of
Discrete and Computational
Geometry,
Jacob E. Goodman and Joseph O'Rourke (Eds.), CRC Press, Boca Raton
2004
- Mark de Berg, Marc van Kreveld, Mark Overmars, Otfried
Schwarzkopf.
Computational Geometry: Algorithms and
Applications, Second Edition.
Springer-Verlag, 2000.
- Mark de Berg, Marc van Kreveld, Mark Overmars, Otfried
Schwarzkopf.
Kompyuuta Jiometori
(Computational Geometry: Algorithms and Applications, Japanese).
Translated by Tetsuo Asano.
Kindaikagaku, 2000.
- Mark de Berg, Marc van Kreveld, Mark Overmars, Otfried
Schwarzkopf.
Computational Geometry: Algorithms and
Applications.
Springer-Verlag, 1997.
- Ketan Mulmuley and Otfried Schwarzkopf.
Randomized algorithms.
Chapter 34 in Handbook of Discrete and Computational
Geometry,
Jacob E. Goodman and Joseph O'Rourke (Eds.), CRC Press, Boca Raton
1997
Invited lectures at conferences with proceedings
- Otfried Cheong
Line Transversals and Pinning
Numbers.
In Third International Workshop on Algorithms and
Computation (WALCOM), LNCS 5431 (2009), pg. 44–46.
- Otfried Cheong
The Harmony of
Spheres.
In Proc. 19th Annual Canad. Conf. Comput. Geom., (2007),
pg. 7.
Other publications
- Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, Dongwoo Park,
and Chan-Su Shin.
Minimum Convex Container of Two Convex Polytopes under
Translations.
Proc. 26th Canad. Conf. Comput. Geom. (2014).
- Otfried Cheong, Sariel Har-Peled, Heuna Kim, and Hyo-Sil Kim.
On the number of edges of a fan-crossing free graph.
6th Annual Meeting of the Asian Association for
Algorithms and Computation (2013).
- Otfried Cheong and Yoshio Okamoto.
Guest editor's foreword.
International Journal of
Computational Geometry &
Applications 22 (2012) 1–2.
- Hyo-Sil Kim and Otfried Cheong.
The Cost of Bounded Curvature.
Computational Geometry: Young Researchers Forum (2012).
- Otfried Cheong and Changryeol Lee.
Anchored Dilation-Bounded Minimum Spanning Tree.
5th Annual Meeting of the Asian Association for
Algorithms and Computation (2012).
- Otfried Cheong, Hyo-Sil Kim, and Lena Schlipf.
Computing Barrier Resilience for Line Segments is NP-hard and
APX-hard.
14th Japan-Korea Joint Workshop on
Algorithms and Computation (2011).
- Mira Lee and Otfried Cheong.
Imprecise Convex Hulls.
14th Japan-Korea Joint Workshop on
Algorithms and Computation (2011).
- Otfried Cheong, Antoine Vigneron, and Juyoung Yon.
Reverse nearest neighbor queries in fixed dimension.
13th Japan-Korea Joint Workshop on
Algorithms and Computation (2010).
- Prosenjit Bose, Otfried Cheong, and Vida Dujmović.
On the perimeter of fat objects.
Proc. 22nd Canad. Conf. Comput. Geom. (2010).
- Nina Amenta and Otfried Cheong.
Guest editor's foreword.
Discrete & Computational
Geometry 41 (2009) 363–364.
- Nina Amenta and Otfried Cheong.
Guest editor's foreword.
International Journal of
Computational Geometry &
Applications 18 (2008) 507–508.
- Hee-Kap Ahn, Sang-Won Bae, and Otfried Cheong.
A geometric proof on shortest paths of bounded curvature (in
Korean).
Journal of KISS: Computer Systems and Theory,
34 (2007) 132–137.
- Otfried Cheong, Xavier Goaoc, Andreas Holmsen, and
Sylvain Petitjean.
Helly-Type Theorems for Line Transversals to Disjoint Unit Balls.
Proc. 22nd European Workshop on Computational
Geometry, 2006.
- Hee-Kap Ahn, Mark de Berg, Otfried Cheong, Herman Haverkort,
Frank van der Stappen, and Laura Toma.
River networks and watershed maps of triangulated terrains
revisited.
Proc. 22nd European Workshop on Computational
Geometry, 2006.
- Boris Aronov, Mark de Berg Otfried Cheong, Joachim Gudmundsson,
Herman Haverkort, and Antoine Vigneron.
Sparse geometric graphs with small dilation.
Proc. Korea-Japan Joint Workshop on Algorithms and
Computation (WAAC) 2005.
- Tetsuo Asano, Mark de Berg, Otfried Cheong, Hazel Everett,
Herman Haverkort, Naoki Katoh, and Alexander Wolff.
Optimal spanners for axis-aligned rectangles.
Proc. 20th European Workshop on Computational
Geometry, pg. 97–100, 2004.
- Mark de Berg, Prosenjit Bose, Otfried Cheong, and Pat Morin.
On Simplifying Dot Maps.
Proc. 18th European Workshop on Computational Geometry,
pg. 96–100, 2002.
- Hee-kap Ahn, Siu-Wing Cheng, Otfried Cheong, and Jack Snoeyink.
The reflex-free hull.
In Proc. 13th Canad. Conf. Comput. Geom., (2001).
- Otfried Cheong and René van Oostrum.
The Visibility Region of Points in a Simple Polygon.
In Proc. 11th Canad. Conf. Comput. Geom., (1999),
pg. 87–90.
Manuscript available.
- Hee-kap Ahn, Siu-Wing Cheng, and Otfried Cheong.
Casting with Skewed Ejection Direction Revisited.
In Proc. 11th Canad. Conf. Comput. Geom., (1999),
pg. 128–131.
Manuscript available.
- Otfried Schwarzkopf.
The Hyperlatex Story.
TUGboat, 16(1995) 159–162.
Postscript version
- Chantal Wentink and Otfried Schwarzkopf.
Motion Planning for Vacuum Cleaner Robots.
In Proc. 6th Canad. Conf. Comput. Geom.,
(1994), pg. 51–56.
- Otfried Schwarzkopf.
The extensible drawing editor Ipe.
In Proc. 11th Ann. ACM Symp. Comput. Geom.,
(1995), pg. C10–C11.
Postscript version