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26th SCG 2010: Snowbird, Utah, USA
- David G. Kirkpatrick, Joseph S. B. Mitchell:

Proceedings of the 26th ACM Symposium on Computational Geometry, Snowbird, Utah, USA, June 13-16, 2010. ACM 2010, ISBN 978-1-4503-0016-2
Monday, June 14 - 9: 00-10: 20 am
- Timothy M. Chan:

Optimal partition trees. 1-10 - Tobias Christ, Dömötör Pálvölgyi

, Milos Stojakovic
:
Consistent digital line segments. 11-18 - Bernard Chazelle:

The geometry of flocking. 19-28 - Sunil Arya, David M. Mount

, Jian Xia:
Tight lower bounds for halfspace range searching. 29-37
Session 2: invited talk
- Helmut Pottmann

:
Discrete geometric structures for architecture. 38
Session 3
- Mark de Berg:

Better bounds on the union complexity of locally fat objects. 39-47 - Marc Glisse, Sylvain Lazard:

On the complexity of sets of free lines and line segments among balls in three dimensions. 48-57 - Natan Rubin

:
Lines avoiding balls in three dimensions revisited. 58-67
Session 4
- Sergio Cabello

, Bojan Mohar:
Adding one edge to planar graphs makes crossing number hard. 68-76 - Joachim Gudmundsson

, Pat Morin
:
Planar visibility: testing and counting. 77-86 - Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir:

The 2-center problem in three dimensions. 87-96 - Ken-ichi Kawarabayashi, Stephan Kreutzer, Bojan Mohar:

Linkless and flat embeddings in 3-space and the unknot problem. 97-106
Session 5: video presentations
- Gur Harary, Ayellet Tal:

Visualizing 3D Euler spirals. 107-108 - Dmitry N. Krasnoshchekov, Valentin Polishchuk, Arto Vihavainen:

Shape approximation using k-order alpha-hulls. 109-110 - Harish Doraiswamy, Aneesh Sood, Vijay Natarajan:

Constructing Reeb graphs using cylinder maps. 111-112 - Adrian Dumitrescu, Evan Hilscher:

Convexification of polygons by length preserving transformations. 113-114 - Stephen J. Guy, Jur P. van den Berg, Ming C. Lin, Dinesh Manocha

:
Geometric methods for multi-agent collision avoidance. 115-116
Session 6A
- Bernard Chazelle:

A geometric approach to collective motion. 117-126 - Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Haim Kaplan, Vladlen Koltun, Natan Rubin

, Micha Sharir:
Kinetic stable Delaunay graphs. 127-136 - Haim Kaplan, Natan Rubin

, Micha Sharir:
A kinetic triangulation scheme for moving points in the plane. 137-146
Session 6B
- Sergio Cabello

, Éric Colin de Verdière, Francis Lazarus:
Output-sensitive algorithm for the edge-width of an embedded graph. 147-155 - Sergio Cabello

, Éric Colin de Verdière, Francis Lazarus:
Finding shortest non-trivial cycles in directed graphs on surfaces. 156-165 - Tamal K. Dey, Jian Sun, Yusu Wang:

Approximating loops in a shortest homology basis from point data. 166-175
Session 7A
- Florian Berger, Rolf Klein:

A traveller's problem. 176-182 - Joseph S. B. Mitchell:

A constant-factor approximation algorithm for TSP with pairwise-disjoint connected neighborhoods in the plane. 183-191 - Mohammad Ali Abam, Sariel Har-Peled

:
New constructions of SSPDs and their applications. 192-200
Session 7B
- Benjamin A. Burton

:
The complexity of the normal surface solution space. 201-209 - Keiko Imai, Akitoshi Kawamura, Jirí Matousek, Daniel Reem, Takeshi Tokuyama

:
Distance k-sectors exist. 210-215 - Akitoshi Kawamura, Jirí Matousek, Takeshi Tokuyama

:
Zone diagrams in Euclidean spaces and in other normed spaces. 216-221
Session 8A
- Karl Bringmann:

Klee's measure problem on fat boxes in time PARTIAL DIFFERENTIAL (n(d+2)/3). 222-229 - Pankaj K. Agarwal:

An improved algorithm for computing the volume of the union of cubes. 230-239 - Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen

:
Orthogonal range reporting: query lower bounds, optimal structures in 3-d, and higher-dimensional improvements. 240-246 - David M. Mount

, Eunhui Park:
A dynamic data structure for approximate range searching. 247-256
Session 8B
- Afra Zomorodian:

The tidy set: a minimal simplicial set for computing homology of clique complexes. 257-266 - William Harvey, Yusu Wang, Rephael Wenger:

A randomized O(m log m) time algorithm for computing Reeb graphs of arbitrary simplicial complexes. 267-276 - Benoît Hudson, Gary L. Miller, Steve Oudot

, Donald R. Sheehy
:
Topological inference via meshing. 277-286 - Omid Amini, Jean-Daniel Boissonnat, Pooran Memari:

Geometric tomography with topological guarantees. 287-296
Session 9A
- Micha Sharir, Adam Sheffer, Emo Welzl:

On degrees in random triangulations of point sets. 297-306 - Eryk Kopczynski

, Igor Pak, Piotr Przytycki:
Acute triangulations of polyhedra and the Euclidean space. 307-313 - Umut A. Acar, Andrew Cotter, Benoît Hudson, Duru Türkoglu:

Dynamic well-spaced point sets. 314-323
Session 9B
- Jean-Daniel Boissonnat, Arijit Ghosh:

Manifold reconstruction using tangential Delaunay complexes. 324-333 - Dominique Attali, André Lieutier:

Optimal reconstruction might be hard. 334-343 - Dominique Attali, André Lieutier:

Reconstructing shapes with guarantees by unions of convex sets. 344-353
Session 10
- Abdul Basit

, Nabil H. Mustafa
, Saurabh Ray, Sarfraz Raza:
Improving the first selection lemma in R3. 354-357 - Roel Apfelbaum, Itay Ben-Dan, Stefan Felsner, Rom Pinchasi, Tillmann Miltzow:

Points with large quadrant-depth. 358-364 - Anne Driemel

, Sariel Har-Peled
, Carola Wenk
:
Approximating the Fréchet distance for realistic curves in near linear time. 365-374 - Pankaj K. Agarwal, Boris Aronov

, Marc J. van Kreveld
, Maarten Löffler, Rodrigo I. Silveira
:
Computing similarity between piecewise-linear functions. 375-383
Session 11: invited talk
- Cláudio T. Silva:

Applications of geometry and topology for quadrilateral meshprocessing and verifiable visualization. 384-385
Session 12
- David L. Millman, Jack Snoeyink

:
Computing planar Voronoi diagrams in double precision: a further example of degree-driven algorithm design. 386-392 - Gur Harary, Ayellet Tal:

3D Euler spirals for 3D curve completion. 393-402 - Lars Arge, Morten Revsbæk, Norbert Zeh:

I/O-efficient computation of water flow across a terrain. 403-412
Session 13
- György Elekes, Micha Sharir:

Incidences in three dimensions and distinct distances in the plane. 413-422 - János Pach, Andrew Suk, Miroslav Treml:

Tangencies between families of disjoint regions in the plane. 423-428 - David Eppstein, Elena Mumford:

Steinitz theorems for orthogonal polyhedra. 429-438

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