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» Points, Lines, and Planes and Their Optimal Estimation
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CATS
2007
13 years 9 months ago
Constructing Optimal Highways
For two points p and q in the plane, a straight line h, called a highway, and a real v > 1, we define the travel time (also known as the city distance) from p and q to be the ...
Hee-Kap Ahn, Helmut Alt, Tetsuo Asano, Sang Won Ba...
COMPGEOM
2007
ACM
13 years 12 months ago
Streaming algorithms for line simplification
We study the following variant of the well-known line-simplification problem: we are getting a possibly infinite sequence of points p0, p1, p2, . . . in the plane defining a polyg...
Mohammad Ali Abam, Mark de Berg, Peter Hachenberge...
COCOA
2009
Springer
14 years 16 days ago
Variable-Size Rectangle Covering
Abstract. In wireless communication networks, optimal use of the directional antenna is very important. The directional antenna coverage (DAC) problem is to cover all clients with ...
Francis Y. L. Chin, Hing-Fung Ting, Yong Zhang
SODA
1992
ACM
135views Algorithms» more  SODA 1992»
13 years 9 months ago
Applications of Parametric Searching in Geometric Optimization
We present several applications in computational geometry of Megiddo's parametric searching technique. These applications include: (1) Finding the minimum Hausdorff distance ...
Pankaj K. Agarwal, Micha Sharir, Sivan Toledo
ICRA
2008
IEEE
205views Robotics» more  ICRA 2008»
14 years 2 months ago
Minimum time point assignment for coverage by two constrained robots
— This paper focuses on the assignment of discrete points to two robots, in the presence of geometric and kinematic constraints between the robots. The individual points have dif...
Nilanjan Chakraborty, Srinivas Akella, John T. Wen