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» Triangulating a Simple Polygon in Linear Time
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CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 28 days ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
PAMI
2002
103views more  PAMI 2002»
13 years 4 months ago
Digital Curves in 3D Space and a Linear-Time Length Estimation Algorithm
We consider simple digital curves in a 3D orthogonal grid as special polyhedrally bounded sets. These digital curves model digitized curves or arcs in three-dimensional euclidean ...
Thomas Bülow, Reinhard Klette
ESA
2010
Springer
142views Algorithms» more  ESA 2010»
13 years 6 months ago
The Geodesic Diameter of Polygonal Domains
This paper studies the geodesic diameter of polygonal domains having h holes and n corners. For simple polygons (i.e., h = 0), it is known that the geodesic diameter is determined...
Sang Won Bae, Matias Korman, Yoshio Okamoto
IWPEC
2004
Springer
13 years 10 months ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
IJRR
2002
129views more  IJRR 2002»
13 years 4 months ago
Deformable Free-Space Tilings for Kinetic Collision Detection
We present kinetic data structures for detecting collisions between a set of polygons that are moving continuously. Unlike classical collision detection methods that rely on bound...
Pankaj K. Agarwal, Julien Basch, Leonidas J. Guiba...