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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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