— This paper proposes distributed control laws for maintaining the shape of a formation of mobile autonomous agents in the plane for which the desired shape is defined in terms ...
Ming Cao, Brian D. O. Anderson, A. Stephen Morse, ...
We consider the pair (pi, fi) as a force with two-dimensional direction vector fi applied at the point pi in the plane. For a given set of forces we ask for a non-crossing geometri...
The crossing number problem is to find the smallest number of edge crossings necessary when drawing a graph into the plane. Eventhough the problem is NP-hard, we are interested in ...
Since most current scene understanding approaches operate
either on the 2D image or using a surface-based representation, they do
not allow reasoning about the physical constrain...
Random geometric graphs have been one of the fundamental models for reasoning about wireless networks: one places n points at random in a region of the plane (typically a square o...
Alan M. Frieze, Jon M. Kleinberg, R. Ravi, Warren ...