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MOC
2010
13 years 3 months ago
Portrait of the four regular super-exponentials to base sqrt(2)
We introduce the concept of regular super-functions at a fixed point. It is derived from the concept of regular iteration. A super-function F of h is a solution of F(z+1)=h(F(z)). ...
Dmitrii Kouznetsov, Henryk Trappmann
WADS
2005
Springer
149views Algorithms» more  WADS 2005»
14 years 2 months ago
Balanced Aspect Ratio Trees Revisited
Spatial databases support a variety of geometric queries on point data such as range searches, nearest neighbor searches, etc. Balanced Aspect Ratio (BAR) trees are hierarchical sp...
Amitabh Chaudhary, Michael T. Goodrich
COMGEO
2011
ACM
13 years 4 months ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
COMPGEOM
2009
ACM
14 years 3 months ago
Shooting permanent rays among disjoint polygons in the plane
We present a data structure for ray shooting-and-insertion in the free space among disjoint polygonal obstacles with a total of n vertices in the plane, where each ray starts at t...
Mashhood Ishaque, Bettina Speckmann, Csaba D. T&oa...
CCCG
2008
13 years 10 months ago
Maximal Covering by Two Isothetic Unit Squares
Let P be the point set in two dimensional plane. In this paper, we consider the problem of locating two isothetic unit squares such that together they cover maximum number of poin...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...