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CCCG
2010
13 years 9 months ago
An optimal solution for dynamic polar diagram
The Polar Diagram [1] of a set of points (i.e. sites) is a partition of the plane. It is a locus approach for problems processing angles. Also, Dynamic Polar Diagram problem is a ...
Ebrahim Ehsanfar, Bahram Sadeghi Bigham, Najmeh Ma...
COMPGEOM
2006
ACM
13 years 9 months ago
On the ICP algorithm
We present upper and lower bounds for the number of iterations performed by the Iterative Closest Point (ICP) algorithm. This algorithm has been proposed by Besl and McKay [4] as ...
Esther Ezra, Micha Sharir, Alon Efrat
SIAMCOMP
1998
92views more  SIAMCOMP 1998»
13 years 7 months ago
Surface Approximation and Geometric Partitions
Motivated by applications in computer graphics, visualization, and scienti c computation, we study the computational complexity of the following problem: Given a set S of n points...
Pankaj K. Agarwal, Subhash Suri
COMPGEOM
2005
ACM
13 years 9 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg
STOC
2005
ACM
184views Algorithms» more  STOC 2005»
14 years 1 months ago
Coresets in dynamic geometric data streams
A dynamic geometric data stream consists of a sequence of m insert/delete operations of points from the discrete space {1, . . . , ∆}d [26]. We develop streaming (1 + )-approxim...
Gereon Frahling, Christian Sohler