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» The Number of Triangulations on Planar Point Sets
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JCT
2006
60views more  JCT 2006»
13 years 8 months ago
On the number of rectangulations of a planar point set
We investigate the number of different ways in which a rectangle containing a set of n noncorectilinear points can be partitioned into smaller rectangles by n (non-intersecting) s...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter
CCCG
2003
13 years 10 months ago
Computing Delaunay Triangulation with Imprecise Input Data
The key step in the construction of the Delaunay triangulation of a finite set of planar points is to establish correctly whether a given point of this set is inside or outside t...
Ali Asghar Khanban, Abbas Edalat
WADS
1995
Springer
107views Algorithms» more  WADS 1995»
14 years 2 days ago
Quadrangulations of Planar Sets
We consider the problem of obtaining “nice” quadrangulations of planar sets of points. For many applications “nice” means that the quadrilaterals obtained are convex if po...
Godfried T. Toussaint
CORR
2008
Springer
141views Education» more  CORR 2008»
13 years 8 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
GD
2007
Springer
14 years 2 months ago
Universal Sets of n Points for 1-Bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this ...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...