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21st SCG 2005: Pisa, Italy
- Joseph S. B. Mitchell, Günter Rote:

Proceedings of the 21st ACM Symposium on Computational Geometry, Pisa, Italy, June 6-8, 2005. ACM 2005, ISBN 1-58113-991-8
Combinatorial geometry
- János Pach, Gábor Tardos:

Forbidden patterns and unit distances. 1-9 - Otfried Cheong, Xavier Goaoc

, Andreas F. Holmsen:
Hadwiger and Helly-type theorems for disjoint unit spheres in R3. 10-15 - György Elekes, Csaba D. Tóth:

Incidences of not-too-degenerate hyperplanes. 16-21 - Esther Ezra:

Almost tight bound for a single cell in an arrangement of convex polyhedra in R3. 22-31
Invited Talk
- Pier Francesco Cortese, Giuseppe Di Battista

:
Clustered planarity. 32-34
Applications
- Danny Z. Chen, Xiaobo Sharon Hu, Chao Wang, Xiaodong Wu:

Mountain reduction, block matching, and applications in intensity-modulated radiation therapy. 35-44 - Eran Eyal, Dan Halperin:

Dynamic maintenance of molecular surfaces under conformational changes. 45-54 - Sergey Bereg, Adrian Dumitrescu:

The lifting model for reconfiguration. 55-62 - Ron Wein, Jur P. van den Berg, Dan Halperin:

The Visibility-Voronoi Complex and Its Applications. 63-72
Geometric graphs
- Sergey Bereg:

Certifying and constructing minimally rigid graphs in the plane. 73-80 - Michael Hoffmann, Csaba D. Tóth:

Pointed and colored binary encompassing trees. 81-90 - Oswin Aichholzer, Hannes Krasser:

Abstract order type extension and new results on the rectilinear crossing number. 91-98
Exact geometric computation
- Eric Berberich, Michael Hemmer, Lutz Kettner, Elmar Schömer, Nicola Wolpert:

An exact, complete and efficient implementation for computing planar maps of quadric intersection curves. 99-106 - Raimund Seidel, Nicola Wolpert:

On the exact computation of the topology of real algebraic curves. 107-115 - Ee-Chien Chang

, Sung Woo Choi, DoYong Kwon, Hyungju Park, Chee-Keng Yap:
Shortest path amidst disc obstacles is computable. 116-125
Metrics and approximation
- Sariel Har-Peled

, Akash Kushal:
Smaller coresets for k-median and k-means clustering. 126-134 - Kenneth L. Clarkson, Kasturi R. Varadarajan:

Improved approximation algorithms for geometric set cover. 135-141 - Gereon Frahling, Piotr Indyk, Christian Sohler

:
Sampling in dynamic data streams and applications. 142-149 - Sariel Har-Peled

, Manor Mendel:
Fast construction of nets in low dimensional metrics, and their applications. 150-158
Invited Talk
- Jacob E. Goodman:

Double-permutation sequences and pseudoline transversals. 159
Geometric Algorithms in Alternate Computational Models
- Lars Arge, Gerth Stølting Brodal

, Rolf Fagerberg, Morten Laustsen:
Cache-oblivious planar orthogonal range searching and counting. 160-169 - Lars Arge, Mark de Berg, Herman J. Haverkort:

Cache-oblivious r-trees. 170-179 - Timothy M. Chan, Eric Y. Chen:

Multi-pass geometric algorithms. 180-189 - Mohammad Ali Abam, Mark de Berg:

Kinetic sorting and kinetic convex hulls. 190-197
Surfaces
- Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve Oudot

:
Learning smooth objects by probing. 198-207 - Siu-Wing Cheng, Yajun Wang, Zhuangzhi Wu:

Provable dimension detection using principal component analysis. 208-217 - Tamal K. Dey, Joachim Giesen, Edgar A. Ramos, Bardia Sadri:

Critical points of the distance to an epsilon-sampling of a surface and flow-complex-based surface reconstruction. 218-227
Delaunay meshes
- Sariel Har-Peled

, Alper Üngör:
A time-optimal delaunay refinement algorithm in two dimensions. 228-236 - Jonathan Richard Shewchuk:

Star splaying: an algorithm for repairing delaunay triangulations and convex hulls. 237-246
Geometry and topology
- Dominique Attali, Herbert Edelsbrunner:

Inclusion-exclusion formulas from independent complexes. 247-254 - Frédéric Chazal, André Lieutier:

Weak feature size and persistent homology: computing homology of solids in Rn from noisy data samples. 255-262 - David Cohen-Steiner, Herbert Edelsbrunner, John Harer:

Stability of persistence diagrams. 263-271 - David Cohen-Steiner, Herbert Edelsbrunner:

Inequalities for the curvature of curves and surfaces. 272-277 - Sergey Bereg, David G. Kirkpatrick:

Curvature-bounded traversals of narrow corridors. 278-287
Data structures
- Mark de Berg:

Vertical ray shooting for fat objects. 288-295 - David Eppstein, Michael T. Goodrich

, Jonathan Z. Sun:
The skip quadtree: a simple dynamic data structure for multidimensional data. 296-305 - Yakov Nekrich

:
Space efficient dynamic orthogonal range reporting. 306-313 - Alireza Zarei, Mohammad Ghodsi:

Efficient computation of query point visibility in polygons with holes. 314-320
Optimization problems
- David Eppstein, Kevin A. Wortman:

Minimum dilation stars. 321-326 - Mohammad Farshi, Panos Giannopoulos, Joachim Gudmundsson

:
Finding the best shortcut in a geometric network. 327-335 - Friedrich Eisenbrand, Stefan Funke, Andreas Karrenbauer

, Domagoj Matijevic:
Energy-aware stage illumination. 336-345 - Pankaj K. Agarwal, Sergey Bereg, Ovidiu Daescu, Haim Kaplan, Simeon C. Ntafos, Binhai Zhu:

Guarding a terrain by two watchtowers. 346-355 - Hee-Kap Ahn

, Otfried Cheong, Chong-Dae Park, Chan-Su Shin
, Antoine Vigneron
:
Maximizing the overlap of two planar convex sets under rigid motions. 356-363
Video/multimedia presentations
- Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve Oudot

:
Learning smooth objects by probing. 364-365 - Tobias Lenz:

Reconstructing collections of arbitrary curves. 366-367 - Vikas Singh, Lopamudra Mukherjee, Jinhui Xu, Kenneth R. Hoffmann, Guang Xu, Zhenming Chen:

Efficient geometric techniques for reconstructing 3D vessel trees from biplane image. 368-369 - Ajith Mascarenhas, Jack Snoeyink

:
Implementing time-varying contour trees. 370-371 - Sander Florisson, Marc J. van Kreveld, Bettina Speckmann

:
Rectangular cartograms: construction & animation. 372-373 - Kim Hansen, Stephen K. Wismath:

Animation of curve constrained drawings of planar graphs. 374-375 - Gill Barequet, Yuval Scharf, Matthew T. Dickerson:

Covering points with a polygon. 376-377 - Ovidiu Daescu, James D. Palmer:

1-link shortest paths in weighted regions. 378-379 - A. G. Oliveira, Pedro Jussieu de Rezende, F. P. Selmi-Dei:

An extension of CGAL to the oriented projective plane T2 and its dynamic visualization system. 380-381 - Efi Fogel

, Dan Halperin:
Exact Minkowski sums of convex polyhedra. 382-383 - Naga K. Govindaraju, Ming C. Lin, Dinesh Manocha

:
Fast and reliable collision detection using graphics processors. 384-385

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