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» Triangulating a Simple Polygon in Linear Time
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CORR
2012
Springer
249views Education» more  CORR 2012»
13 years 9 months 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»
15 years 1 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»
15 years 2 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
15 years 7 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
117
Voted
IJRR
2002
129views more  IJRR 2002»
15 years 1 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...