23rd Annual Symposium on
Computational Geometry

Technical Program

Except as noted, all presentations will take place in Emerald/Ruby Hall.

* Starred talks were rescheduled after the proceedings went to press; the papers appear out of order in the proceedings.

Tuesday, June 5
6:30 Welcome Reception: Waterfall Area

Wednesday, June 6
  Session 1A — Suresh Venkatasubramanian Session 1B (Sapphire Hall) — Helmut Alt
9:15-9:40 A PTAS for k-Means Clustering Based on Weak Coresets
Dan Feldman, Morteza Monemizadeh, and Christian Sohler
Guard Placement For Wireless Localization
David Eppstein, Michael T. Goodrich, and Nodari Sitchinava
9:40-10:05 Constant-Factor Bicriteria Linear-time Approximations for Generalized k-Mean/Median/Center
Dan Feldman, Amos Fiat, and Micha Sharir
Aperture-Angle and Hausdorff-Approximation of Convex Figures
Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, Joachim Gudmundsson, and Mira Lee
10:05-10:30 Weak ε-nets Have a Basis of Size O(1/ε) in Any Dimension*
Nabil H. Mustafa and Saurabh Ray
Traversing a Set of Points with a Minimum Number of Turns
Sergey Bereg, Prosenjit Bose, Adrian Dumitrescu, Ferran Hurtado, and Pavel Valtr
10:30-11:00 — Coffee break —
11:00-12:00
Invited Talk:
A Geometric Perspective on Machine Learning
Partha Niyogi (University of Chicago)

 
12:00-2:00 — Lunch —
  Session 2 — Jeff Erickson
2:00-2:20 Thick Non-Crossing Paths and Minimum-Cost Flows in Polygonal Domains
Joseph S. B. Mitchell and Valentin Polishchuk
2:20-2:40 Finding Bounded-Curvature Paths in Narrow Simply Connected Regions
Jonathan Backer and David Kirkpatrick
2:40-3:00 Shortest Paths on Realistic Polyhedra
Yevgeny Schreiber
3:00-3:20 Querying Approximate Shortest Paths in Anisotropic Regions
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, and Yajun Wang
3:20-4:00 — Coffee break —
  Session 3 — Ileana Streinu
4:00-4:20 Happy Endings for Flip Graphs
David Eppstein
4:20-4:40 Offline Variants of the “Lion and Man” Problem
Adrian Dumitrescu, Ichiro Suzuki, and Pawel Zylinski
4:40-5:00 A New Upper Bound for Embedding 3-Polytopes on the Grid
Ares Ribó, Günter Rote, and André Schulz
5:15-6:30 — Business meeting: Emerald/Ruby Hall —

Thursday, June 7
Video Session — Monique Teillaud Session 4 (Sapphire Hall) — Suresh Venkatasubramanian
9:00-9:10 Computing the Exact Arrangement of Circles on a Sphere, with applications in structural biology
Frédéric Cazals and Sébastien Loriot
9:00-9:25 Decomposition of Multiple Coverings into Several Parts
János Pach and Géza Tóth
9:10-9:20 Visualizing Bregman Voronoi Diagrams
Frank Nielsen, Jean-Daniel Boissonnat, and Richard Nock
9:20-9:30 Medial Axis Approximation from Inner Voronoi Balls: A Demo of the Mesecina Tool
Balint Miklos, Joachim Giesen, and Mark Pauly
9:25-9:50 An Optimal Generalization of the Centerpoint Theorem, and its Extensions
Nabil H. Mustafa and Saurabh Ray
9:30-9:40 Inflating the Cube by Shrinking
Kevin Buchin and André Schulz
9:40-9:50 Heilbronn's Triangle Problem
Gill Barequet and Alina Shaikhet
9:50-10:00 Kinetic 3D-Convex Hulls via Self-Adjusting Computation: An Illustration
Umut A. Acar, Guy E. Blelloch, and Kanat Tangwongsan
9:50-10:15 There Are Not Too Many Magic Configurations
Eyal Ackerman, Kevin Buchin, Christian Knauer, Rom Pinchasi, and Günter Rote
10:00-10:10 Towards an Implementation of the 3D Visibility Skeleton
Linqiao Zhang, Hazel Everett, Sylvain Lazard, and Sue Whitesides
 
10:15-10:40 — Coffee break —
  Session 5 — John Iacono
10:40-11:00 Quadratic and Cubic B-Splines by Generalizing Higher-Order Voronoi Diagrams
Yuanxin Liu and Jack Snoeyink
11:00-11:20 Snap Rounding of Bézier Curves
Arno Eigenwillig, Lutz Kettner, and Nicola Wolpert
11:20-11:40 Optimal Simplification of Polygonal Chain for Rendering
Lilian Buzer
11:40-12:00 Streaming Algorithms for Line Simplification
Mohammad Ali Abam, Mark de Berg, Peter Hachenberger, and Alireza Zarei
12:00-2:00 — Lunch —
  Session 6 — Jeff Erickson
2:00-2:20 The Theory of Multidimensional Persistence
Gunnar Carlsson and Afra Zomorodian
2:20-2:40 Manifold Reconstruction in Arbitrary Dimensions using Witness Complexes
Jean-Daniel Boissonnat, Leonidas J. Guibas, and Steve Y. Oudot
2:40-3:00 Probabilistic Embeddings of Bounded Genus Graphs Into Planar Graphs
Piotr Indyk and Anastasios Sidiropoulos
3:00-3:20 Distributed Computation of Virtual Coordinates
Mirela Ben-Chen, Craig Gotsman, and Camille Wormser
3:20-4:00 — Coffee break —
  Session 7 — Helmut Alt
4:00-4:20 A Space-Optimal Data-Stream Algorithm for Coresets in the Plane*
Pankaj K. Agarwal and Hai Yu
4:20-4:40 On Regular Vertices on the Union of Planar Objects
Esther Ezra, János Pach, and Micha Sharir
4:40-5:00 On the Number of k-rich Transformations
Jozsef Solymosi and Gábor Tardos
5:00-5:20 Similar Simplices in a d-dimensional Point Set
Pankaj K. Agarwal, Roel Apfelbaum, George Purdy, and Micha Sharir
6:30 — Banquet: Roof terrace —

Friday, June 8
  Session 8A — Helmut Alt Session 8B (Sapphire Hall) — John Iacono
9:00-9:25 Line Transversals to Disjoint Balls
Ciprian Borcea, Xavier Goaoc, and Sylvain Petitjean
New Upper Bounds on the Quality of PCA Bounding Boxes in R2 and R3
Darko Dimitrov, Christian Knauer, Klaus Kriegel, and Günter Rote
9:25-9:50 The Voronoi Diagram of Three Lines in 3D
Hazel Everett, Daniel Lazard, Sylvain Lazard, and Mohab Safey El Din
Pareto Envelopes in R3 under l1 and l Distance Functions
Victor Chepoi and Karim Nouioua
9:50-10:15 Between Umbra and Penumbra
Julien Demouth, Olivier Devillers, Hazel Everett, Sylvain Lazard, and Raimund Seidel
Computing the Volume of the Union of Cubes
Pankaj K. Agarwal, Haim Kaplan, and Micha Sharir
10:15-11:00 — Coffee break —
  Session 9 — Ileana Streinu
10:40-11:00 Approximating the Centroid is Hard
Luis Rademacher
11:00-11:20 Hardness of Minkowski Addition and Related Operations
Hans Raj Tiwary
11:20-11:40 A Geometric Framework for Solving Subsequence Problems in Computational Biology Efficiently
Thorsten Bernholt, Friedrich Eisenbrand, and Thomas Hofmeister
11:40-12:00 On the Exact Maximum Complexity of Minkowski Sums of Convex Polyhedra
Efi Fogel and Dan Halperin
12:00-2:00 — Lunch —
  Session 10 — Suresh Venkatasubramanian
2:00-2:20 On Approximate Halfspace Range Counting and Relative ε-Approximations
Boris Aronov, Sariel Har-Peled, and Micha Sharir
2:20-2:40 On Approximate Range Counting and Halfspace Depth
Peyman Afshani and Timothy Chan
2:40-3:00 A Data Structure for Multi-Dimensional Range Reporting
Yakov Nekrich
3:00-3:20 Tight Bounds for Dynamic Convex Hull Queries
Erik D. Demaine and Mihai Pǎtraşcu
3:20-4:00 — Coffee break —
  Session 11 — Jeff Erickson
4:00-4:20 Kinetic kd-Trees and Longest-Side kd-Trees
Mohammad Ali Abam, Mark de Berg, and Bettina Speckmann
4:20-4:40 Fully Dynamic Geometric Spanners
Liam Roditty
4:40-5:00 Embeddings of Moving Points in Euclidean Space
Pankaj K. Agarwal, Sariel Har-Peled, and Hai Yu
5:00 — Conference ends —