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COCOON
2005
Springer
15 years 7 months ago
An Upper Bound on the Number of Rectangulations of a Point Set
Abstract. We consider the number of different ways to divide a rectangle containing n noncorectilinear points into smaller rectangles by n non-intersecting axis-parallel segments,...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter
ISAAC
2005
Springer
135views Algorithms» more  ISAAC 2005»
15 years 7 months ago
Embedding Point Sets into Plane Graphs of Small Dilation
Let S be a set of points in the plane. What is the minimum possible dilation of all plane graphs that contain S? Even for a set S as simple as five points evenly placed on the ci...
Annette Ebbers-Baumann, Ansgar Grüne, Marek K...
PERVASIVE
2005
Springer
15 years 7 months ago
Mobile Phones as Pointing Devices
This article outlines two techniques that allow the mobile phone to be used as a pointing device for public terminals and large public displays. Our research has produced two comp...
Rafael Ballagas, Michael Rohs, Jennifer G. Sherida...
GD
2004
Springer
15 years 7 months ago
Long Alternating Paths in Bicolored Point Sets
Given n red and n blue points in convex position in the plane, we show that there exists a noncrossing alternating path of length n + c n log n . We disprove a conjecture of Erd˝o...
Jan Kyncl, János Pach, Géza Tó...
CGI
1998
IEEE
15 years 5 months ago
Graph-Based Surface Reconstruction Using Structures in Scattered Point Sets
We present an algorithm for the reconstruction of a surface from an unorganized set of points in space. The point data may be obtained from a laser range scanner or any other digi...
Robert Mencl, Heinrich Müller