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» The 2-center problem in three dimensions
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COMPGEOM
2004
ACM
14 years 2 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
CCCG
2006
13 years 10 months ago
Small Weak Epsilon-Nets in Three Dimensions
We study the problem of finding small weak -nets in three dimensions and provide new upper and lower bounds on the value of for which a weak -net of a given small constant size e...
Maryam Babazadeh, Hamid Zarrabi-Zadeh
COMPGEOM
2004
ACM
14 years 2 months ago
On lines avoiding unit balls in three dimensions
Let B be a set of n unit balls in R3 . We show that the combinatorial complexity of the space of lines in R3 that avoid all the balls of B is O(n3+ε ), for any ε > 0. This re...
Pankaj K. Agarwal, Boris Aronov, Vladlen Koltun, M...
FOCS
2009
IEEE
14 years 3 months ago
Orthogonal Range Reporting in Three and Higher Dimensions
In orthogonal range reporting we are to preprocess N points in d-dimensional space so that the points inside a d-dimensional axis-aligned query box can be reported efficiently. T...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
GD
2005
Springer
14 years 2 months ago
MultiPlane: A New Framework for Drawing Graphs in Three Dimensions
This paper presents a new framework for drawing graphs in three dimensions. In general, the new framework uses a divide and conquer approach. More specifically, the framework divi...
Seok-Hee Hong