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COCOON
2005
Springer
15 years 12 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 12 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 12 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 11 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 10 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