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CCCG
2009
13 years 7 months ago
Symmetry Restoration by Stretching
We consider restoring the bilateral symmetry of an object which has been deformed by compression. This problem arises in paleontology, where symmetric bones are compressed in the ...
Michael M. Kazhdan, Nina Amenta, Shengyin Gu, Davi...
CCCG
2009
13 years 7 months ago
Every Large Point Set contains Many Collinear Points or an Empty Pentagon
We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
Zachary Abel, Brad Ballinger, Prosenjit Bose, S&ea...
CCCG
2009
13 years 7 months ago
The Bichromatic Rectangle Problem in High Dimensions
Given a set of blue points and a set of red points in ddimensional space, we show how to find an axis-aligned hyperrectangle that contains no red points and as many blue points as...
Jonathan Backer, J. Mark Keil
CCCG
2009
13 years 7 months ago
Defining and computing accessibility radius
In structural molecular biology software, the accessibility of an atom in a molecule to a ball representing solvent is either computed slowly by building a solventaccessible surfa...
Vishal Verma, Jack Snoeyink
CCCG
2009
13 years 7 months ago
Bold Graph Drawings
When a graph is drawn in a classical manner, its vertices are shown as small disks and its edges with a positive width; zero-width edges exist only in theory. Let r denote the rad...
Marc J. van Kreveld